bibliography.bib

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@phdthesis{rosteck2013,
    Type                    = {Dissertation},
    Title                   = {Scaling Laws In Turbulence - A Theoretical Approach Using Lie-Point Symmetries},
    Author                  = {Rosteck, Andreas},
    School                  = {Technical University of Darmstadt},
    Year                    = {2013}
}

@Article{avsarikov2014,
  Title                    = {Turbulent Plane Couette Flow At Moderately High Reynolds Number},
  Author                   = {Avsarikov, V. and Hoyas, S. and Oberlack, M. and Garcia-Galache, J. P.},
  Year                     = {2014},
  Pages                    = {751 R1-1 – 751 R1-10},
  Journal                  = {Journal Of Fluid Mechanics}
}

@Article{oberlack1997,
  Title                    = {Invariant modeling in large-eddy simulation of turbulence},
  Author                   = {Oberlack, M.},
  Year                     = {1997},
  Pages                    = {3–22},
  Journal                  = {Center for Turbulence Research Annual Research Briefs}
}

@Article{oberlack2001,
  Title                    = {On Symmetries And Averaging Of The G-Equation For Premixed Condition},
  Author                   = {Oberlack, M. and Wenzel, H. and Peters, N.},
  Year                     = {2001},
  Number                   = {5},
  Pages                    = {363–383},
  Journal                  = {Combustion Theory Modeling}
}

@Article{donaldson1968,
  Title                    = {Calculation Of The Turbulent Shear Flows Through Closure Of The Reynolds Equations By Invariant Modeling},
  Author                   = {Donaldson, C. duP. and Rosenbaum, H.},
  Year                     = {1968},
  Number                   = {127},
  Journal                  = {Aeronaut. Res. Assoc. Princeton}
}

@Article{donaldson1972,
  Title                    = {Construction of a Dynamic Model of the Production of Athmospheric Pollutants},
  Author                   = {Donaldson, C. duP.},
  Year                     = {1972},
  Number                   = {175},
  Journal                  = {Aeronaut. Res. Assoc. Princeton}
}

@phdthesis{oberlack2000,
  Type = {{H}abilitation thesis},
  Title = {{S}ymmetrie, {I}nvarianz und {S}elbstähnlichkeit in der {T}urbulenz},
  Author = {Martin Oberlack},
  School = {Rheinisch-Westfälische Hochschule Aachen},
  Year = {2000}
}

@Article{oberlack2010,
  Title                    = {New Statistical Symmetries Of The Multi-Point Equations And Its Importance For Turbulent Scaling Laws},
  Author                   = {Oberlack, M. and Rosteck, A.},
  Year                     = {2010},
  Number                   = {3},
  Volume                   = {3},
  Journal                  = {Discrete and Continuous Dynamical System Series S}
}
@Article{rosteck2011,
  Title                    = {Lie Algebra Of The Symmetries Of The Multi-Point Equations In Statistical Turbulence},
  Author                   = {Rosteck, A. and Oberlack, M.},
  Year                     = {2011},
  Number                   = {1},
  Volume                   = {18},
  Journal                  = {Jounal of Nonlinear Mathematical Physics}
}
@Article{oberlack2015,
  Title                    = {Symmetries And Their Importance For Statistical Turbulence Modeling},
  Author                   = {Oberlack, M. and Waclawczyk, M. and Rosteck, A. and Avsarikov, V.},
  Year                     = {2015},
  Number                   = {2},
  Pages                    = {1-72},
  Journal                  = {Bulletin of the JSME}
}
@Article{waclawczyk2014,
  Title                    = {Statistical symmetries of the {L}undgren-{M}onin-{N}ovikov hierarchy},
  Author                   = {Waclawczyk, M. and Staffolani, N. and Oberlack, M. and Rosteck, A. and Wilczek, M. and Friedrich, R.},
  Year                     = {2014},
  Number                   = {90},
  Pages                    = {1-11},
  Journal                  = {Physical Review}
}
@Article{moin1997,
  Title                    = {Tackling Turbulence With Supercomputers},
  Author                   = {Moin, P. and Kim, J.},
  Year                     = {1997},
  Pages                    = {62–68},
  Journal                  = {Scientific American}
}
@book{pope2000,
  title={Turbulent Flows},
  author={Pope, S. B.},
  isbn={9780521598866},
  lccn={99044583},
  year={2000},
  publisher={Cambridge University Press}
}
@book{olver2000,
  title={Applications of Lie Groups to Differential Equations},
  author={Olver, P.J.},
  isbn={9780387950006},
  lccn={92044573},
  series={Applications of Lie Groups to Differential Equations},
  year={2000},
  publisher={Springer New York}
}
@book{bluman2010,
  title={Applications of Symmetry Methods to Partial Differential Equations},
  author={Bluman, G. and Cheviakov, A. and Anco, S.},
  isbn={9780387680286},
  lccn={2009937642},
  series={Applied Mathematical Sciences},
  year={2010},
  publisher={Springer New York}
}

@book{cantwell2002,
  title={Introduction to Symmetry Analysis},
  author={Cantwell, B. J.},
  series={Cambridge Texts in Applied Mathematics},
  year={2002},
  publisher={Cambridge University Press}
}

@article{reynolds1895,
 ISSN = {02643820},
 URL = {http://www.jstor.org/stable/90643},
 author = {Osborne Reynolds},
 journal = {Philosophical Transactions of the Royal Society of London. A},
 pages = {123-164},
 publisher = {The Royal Society},
 title = {On the Dynamical Theory of Incompressible Viscous Fluids and the Determination of the Criterion},
 volume = {186},
 year = {1895}
}

@book{wilcox1994,
  title={Turbulence Modeling for CFD},
  author={Wilcox, D. C.},
  isbn={9780963605108},
  lccn={93224752},
  year={1994},
  publisher={DCW Industries, Incorporated}
}

@Article{wilcox1980,
  Title                    = {Progress In Turbulence Modeling For Complex Flow Fields Including Effects Of Compressibility},
  Author                   = {Wilcox, D. C. and Rubesin, M. W.},
  Year                     = {1980},
  Number                   = {1517},
  Pages                    = {1-67},
  Journal                  = {NASA Technical Paper}
}

@Article{pukhnachev1972,
  Title                    = {Invariant Solutions Of The {N}avier-{S}tokes Equations Describing Motions With A Free Boundary},
  Author                   = {Pukhnachev, V. V.},
  Year                     = {1972},
  Number                   = {17},
  Pages                    = {24-27},
  Journal                  = {Sov. Phys.}
}

@Book{lumley1970,
  Title                    = {A First Course In Turbulence},
  Author                   = {Lumley, T. A.},
  Year                     = {1970},
  ISBN                     = {0262200198},
  Publisher                = {MIT Press}
}

@Article{leschzinger2002,
  Title                    = {Turbulence Modeling And Turbulent-Flow Computation in Aeronautics},
  Author                   = {Leschziner, M.A. and Drikakis, D.},
  Year                     = {2002},
  Pages                    = {363–383},
  Journal                  = {The Aeronautic Journal}
}

@book{mach1883,
  title={Die mechanik in ihrer entwickelung},
  author={Mach, E.},
  series={Die mechanik in ihrer entwickelung},
  url={https://books.google.de/books?id=x9Q2AAAAMAAJ},
  year={1883},
  publisher={F.A. Brockhaus}
}

@software{python3,
  author = {{Python Software Foundation}},
  title = {Python},
  url = {https://www.python.org/},
  version = {3.6.2},
  date = {2016-10-10}
}

@software{maple2016,
  author = {{Waterloo Maple Inc.}},
  title = {Maple},
  date = {2016},
  url = {https://www.maplesoft.com/},
  version = {2016.2},
  date = {2017-01-13}
}

@software{maple2019,
  title = {{Maplesoft, a division of Waterloo Maple Inc., Waterloo, Ontario}},
  author = {Maple},
  year = {2019},
  url = {https://www.maplesoft.com/},
  version = {2019.1}
}

@book{schlichting2016,
  title={Boundary-Layer Theory},
  author={Schlichting, H. and Gersten, K.},
  isbn={9783662529195},
  url={https://books.google.de/books?id=bOUyDQAAQBAJ},
  year={2016},
  publisher={Springer Berlin Heidelberg}
}
@Article{hunter2007,
  Author    = {Hunter, J. D.},
  Title     = {Matplotlib: A 2D graphics environment},
  Journal   = {Computing In Science \& Engineering},
  Volume    = {9},
  Number    = {3},
  Pages     = {90--95},
  abstract  = {Matplotlib is a 2D graphics package used for Python
  for application development, interactive scripting, and
  publication-quality image generation across user
  interfaces and operating systems.},
  publisher = {IEEE COMPUTER SOC},
  doi = {10.1109/MCSE.2007.55},
  year      = 2007
}
@Article{Batchelor59,
  author = 	 {G. K. Batchelor},
  title = 	 {Small-scale variation of convected quantities like temperature in turbulent fluid. Part 1. General discussion and the case of small conductivity.},
  journal = 	 {J.~Fluid Mech.},
  year = 	 {1971},
  volume = 	 {5},
  pages = 	 {113--133}
}


@Article{Brownell04,
  author = 	 {C. J. Brownell and L. K. Su},
  title = 	 {Planar measurements of differential diffusion in turbulent jets},
  journal = 	 {AIAA Paper 2004-2335},
  year = 	 {2004}
}

@Article{Brownell07,
  author = 	 {C. J. Brownell and L. K. Su},
  title = 	 {Scale relations and spatial spectra in a differentially diffusing jet},
  journal = 	 {AIAA Paper 2007-1314},
  year = {2007}
}
@InCollection{Dennis85,
  author = 	 {S. C. R. Dennis},
  title = 	 {{Compact explicit finite difference approximations to the {N}avier--{S}tokes equation}},
  booktitle = 	 {Ninth Intl Conf. on Numerical Methods in Fluid Dynamics},
  publisher = {Springer},
  year = 	 {1985},
  editor = 	 {Soubbaramayer and J. P. Boujot},
  volume = 	 {218},
  series = 	 {Lecture Notes in Physics},
  pages = 	 {23--51}
}

@Article{Hwang70,
  author = 	 {L.-S. Hwang and E. O. Tuck},
  title = 	 {On the oscillations of harbours of arbitrary shape},
  journal = 	 {J.~Fluid Mech.},
  year = 	 {1970},
  volume = 	 {42},
  pages = 	 {447--464}
}

@InCollection{Worster92,
  author = 	 {M. G. Worster},
  title = 	 {{The dynamics of mushy layers}},
  booktitle = 	 {In Interactive dynamics of convection and solidification},
  publisher = {Kluwer},
  year = 	 {1992},
  editor = 	 {S. H. Davis and H. E. Huppert and W. Muller and M. G. Worster},
  pages = 	 {113--138}
}

@Article{Koch83,
  author = 	 {W. Koch},
  title = 	 {Resonant acoustic frequencies of flat plate cascades},
  journal = 	 {J.~Sound Vib.},
  year = 	 {1983},
  volume = 	 {88},
  pages = 	 {233--242}
}

@Article{Lee71,
  author = 	 {J.-J. Lee},
  title = 	 {Wave-induced oscillations in harbours of arbitrary geometry},
  journal = 	 {J.~Fluid Mech.},
  year = 	 {1971},
  volume = 	 {45},
  pages = 	 {375--394}
}

@Article{Linton92,
  author = 	 {C. M. Linton and D. V. Evans},
  title = 	 {The radiation and scattering of surface waves by a vertical circular
cylinder in a channel},
  journal = 	 {Phil.\ Trans.\ R. Soc.\ Lond.},
  year = 	 {1992},
  volume = 	 {338},
  pages = 	 {325--357}
}

@Article{Martin80,
  author = {P. A. Martin},
  title =  {On the null-field equations for the exterior problems of acoustics},
  year ={1980},
  journal = {Q.~J. Mech.\ Appl.\ Maths},
  volume = {33},
  pages ={385--396}
}

@TechReport{Rogallo81,
   author = {R. S. Rogallo},
   title = {Numerical experiments in homogeneous
     turbulence},
   institution = {NASA Tech.\ Mem.},
   year = 1981,
   number = 81835
}

@Article{Ursell50,
  author = {F. Ursell},
  title = {Surface waves on deep water in the presence of a submerged cylinder I},
  year = {1950},
  journal = {Proc.\ Camb.\ Phil.\ Soc.},
  volume = {46},
  pages = {141--152}
}

@Article{Wijngaarden68,
  author = {L. {van Wijngaarden}},
  title = {On the oscillations near and at resonance in open pipes},
  year = {1968},
  journal = {J.~Engng Maths},
  volume = {2},
  pages = {225--240}
}

@PhdThesis{Miller91,
  author = {P. L. Miller},
  title = {Mixing in high Schmidt number turbulent jets},
  school = {California Institute of Technology},
  year = {1991},
  address = {}
}

@article{Uddin2007,
	title = {Self-similarity of coflowing jets: The virtual origin},
	volume = {19},
    year = {2007},
	issn = {1070-6631},
	url = {http://aip.scitation.org/doi/10.1063/1.2740709},
	doi = {10.1063/1.2740709},
	shorttitle = {Self-similarity of coflowing jets},
	abstract = {From round and plane jet experimental data, it can be inferred that the existence of the virtual origin can be attributed to variations in thickness of the internal boundary layer at the orifice. Based on this, and further support from large eddy simulations ({LES}) of axisymmetric coflowing round jets with various inlet conditions, we propose that the local value of the variance in the thickness of the boundary layer and thus the velocity distribution at the jet inlet can be used to predict the location of the virtual origin. This, in turn, indicates the inadequacy of the traditionally used length scale, the jet half-width/radius, and suggests the local variance is a length scale with better physical significance. It appears unlikely that the turbulence intensity distribution at the orifice plays a significant role in the determination of the virtual origin or the axial spread of the effective jet width.},
	pages = {068103},
	number = {6},
	journaltitle = {Physics of Fluids},
	shortjournal = {Physics of Fluids},
	author = {Uddin, Mesbah and Pollard, Andrew},
	urldate = {2018-02-13},
	date = {2007-06-01}
}

@article{wilcox2007,
	title = {{AIAA} Formulation of the k-omega Turbulence Model Revisited},
	journaltitle = {45th {AIAA} Aerospace Sciences},
	author = {Wilcox, D. C.},
	year = {2007}
}

@article{mahalingam_full_1990,
	title = {Full numerical simulation of coflowing, axisymmetric jet diffusion flames},
	volume = {2},
	issn = {0899-8213},
	url = {http://aip.scitation.org/doi/abs/10.1063/1.857725},
	doi = {10.1063/1.857725},
	pages = {720--728},
	number = {5},
	journaltitle = {Physics of Fluids A: Fluid Dynamics},
	shortjournal = {Physics of Fluids A: Fluid Dynamics},
	author = {Mahalingam, S. and Cantwell, B. J. and Ferziger, J. H.},
	urldate = {2018-02-09},
	date = {1990-05-01}
}

@article{gohil_direct_2015,
	title = {Direct numerical simulation of free and forced square jets},
	volume = {52},
	issn = {0142-727X},
	url = {http://www.sciencedirect.com/science/article/pii/S0142727X15000041},
	doi = {10.1016/j.ijheatfluidflow.2015.01.003},
	abstract = {Direct numerical simulation ({DNS}) of incompressible, spatially developing square jets in the Reynolds number range of 500–2000 is reported. The three-dimensional unsteady {N}avier–{S}tokes equations are solved using high order spatial and temporal discretization. The objective of the present work is to understand the evolution of free and forced square jets by examining the formation of large-scale structures. Coherent structures and related interactions of free jets suggest control strategies that can be used to achieve enhanced spreading and mixing of the jet with the surrounding fluid. The critical Reynolds number for the onset on unsteadiness in an unperturbed free square jet is found to be 875–900 while it reduces to the range 500–525 in the presence of small-scale perturbations. Disturbances applied at the flow inlet cause saturation of {KH}-instability and early transition to turbulence. Forced jet calculations have been carried out using varicose perturbation with amplitude of 15\%, while frequency is independently varied. Simulations show that the initial development of the square jet is influenced by the four corners leading to the appearance hairpin structures along with the formation of vortex rings. Farther downstream, adjacent vortices strongly interact leading to their rapid breakup. Excitation frequencies in the range 0.4–0.6 cause axis-switching of the jet cross-section. Results show that square jets achieve greater spreading but are less controllable in comparison to the circular ones.},
	pages = {169--184},
	journaltitle = {International Journal of Heat and Fluid Flow},
	shortjournal = {International Journal of Heat and Fluid Flow},
	author = {Gohil, Trushar B. and Saha, Arun K. and Muralidhar, K.},
	urldate = {2018-02-09},
	date = {2015-04-01},
	keywords = {{DNS}, Entrainment, Hairpin vortices, Square jets, Varicose excitation, Vortex rings}
}

@article{gohil_direct_2011,
	title = {Direct Numerical Simulation of Naturally Evolving Free Circular Jet},
	volume = {133},
	issn = {0098-2202},
	url = {http://dx.doi.org/10.1115/1.4005199},
	doi = {10.1115/1.4005199},
	abstract = {Direct numerical simulation ({DNS}) of incompressible, spatially developing circular jets at a moderate Reynolds number of 1030 is performed to understand the details of the evolution of the flow field. The axisymmetric shear layer rolls up in the near field of the jet forming vortex rings. The rings tilt as they convect downstream before becoming turbulent in the far field. The evolution of vortical structures reveals the presence of a helical structure in the flow field along with the occurrence of vortex pairing. The time-averaged streamwise velocity distribution shows self-similarity in the far field. The cross-streamwise distribution of the Reynolds stresses also shows weak self-similarity downstream as the flow is not fully developed within the streamwise length of the computational domain. A detailed comparison with experiments is carried out and the computed time-averaged as well as statistical data shows excellent match with the experimental results. Numerical simulation also reveals various transitions during flow evolution in the streamwise direction.},
	pages = {111203--111203--11},
	number = {11},
	journaltitle = {Journal of Fluids Engineering},
	shortjournal = {J. Fluids Eng},
	author = {Gohil, Trushar B. and Saha, Arun K. and Muralidhar, K.},
	urldate = {2018-02-09},
	date = {2011-10-27}
}

@article{uddin_self-similarity_2007,
	title = {Self-similarity of coflowing jets: The virtual origin},
	volume = {19},
	issn = {1070-6631},
	url = {http://aip.scitation.org/doi/10.1063/1.2740709},
	doi = {10.1063/1.2740709},
	shorttitle = {Self-similarity of coflowing jets},
	abstract = {From round and plane jet experimental data, it can be inferred that the existence of the virtual origin can be attributed to variations in thickness of the internal boundary layer at the orifice. Based on this, and further support from large eddy simulations ({LES}) of axisymmetric coflowing round jets with various inlet conditions, we propose that the local value of the variance in the thickness of the boundary layer and thus the velocity distribution at the jet inlet can be used to predict the location of the virtual origin. This, in turn, indicates the inadequacy of the traditionally used length scale, the jet half-width/radius, and suggests the local variance is a length scale with better physical significance. It appears unlikely that the turbulence intensity distribution at the orifice plays a significant role in the determination of the virtual origin or the axial spread of the effective jet width.},
	pages = {068103},
	number = {6},
	journaltitle = {Physics of Fluids},
	shortjournal = {Physics of Fluids},
	author = {Uddin, Mesbah and Pollard, Andrew},
	urldate = {2018-02-13},
	date = {2007-06-01}
}

@article{ george1989,
  author  = {William K. George},
  title   = {The Self-Preservation of Turbulent Flows and Its Relation to Initial Conditions and Coherent Structures},
  year    = {1989}
}

@article{george_self-preservation_1992,
	title = {The self-preservation of homogeneous shear flow turbulence},
    year = {1992},
	volume = {13},
	issn = {0723-4864, 1432-1114},
	url = {https://link.springer.com/article/10.1007/BF00189015},
	doi = {10.1007/BF00189015},
	abstract = {An analysis of the equations governing homogeneous shear flow shows the possibility of solutions which are self-preserving at all scales of motion, and that these solutions are dependent on the initial conditions. The appropriate velocity scale is the one obtained from the turbulence kinetic energy, q2/2, while the length scale is the Taylor microscale, λ. Two cases of self-preserving flow are identified: one corresponding to constant mean shear, the other to a mean shear which is inversely proportional to time. For the first case (the only one considered in detail) the principal results of the postulated similarity are that λ is constant, while q2 varies exponentially with time. The ratio of the turbulence energy production rate to its dissipation rate remains constant. It is also shown that the energy spectra scale over all wavenumbers with q2 and λ, and that they have shapes determined by the initial conditions. The experimental evidence is generally consistent with the theory.},
	pages = {229--238},
	number = {4},
	journaltitle = {Experiments in Fluids},
	shortjournal = {Experiments in Fluids},
	author = {George, W. K. and Gibson, M. M.},
	urldate = {2018-02-13},
	date = {1992-08-01},
	langid = {english}
}

@article{johansson_equilibrium_2003,
	title = {Equilibrium similarity, effects of initial conditions and local Reynolds number on the axisymmetric wake},
	volume = {15},
    year = {2003},
	issn = {1070-6631},
	url = {http://aip.scitation.org/doi/10.1063/1.1536976},
	doi = {10.1063/1.1536976},
	pages = {603--617},
	number = {3},
	journal = {Physics of Fluids},
	author = {Johansson, Peter B. V. and George, William K. and Gourlay, Michael J.},
	urldate = {2018-02-13},
	date = {2003-01-22}
}

@misc{rotta1975,
    title = {Prediction Methods For Turbulent Flows},
    author = {Rotta, Julius C.},
    year = {1975}
}

@article{foias2001,
	title = {The {N}avier-{S}tokes-alpha model of fluid turbulence},
	volume = {152-153},
    year = {2001},
	issn = {0167-2789},
	url = {http://www.sciencedirect.com/science/article/pii/S0167278901001919},
	doi = {https://doi.org/10.1016/S0167-2789(01)00191-9},
	pages = {505 -- 519},
	journaltitle = {Physica D: Nonlinear Phenomena},
	author = {Foias, Ciprian and Holm, Darryl D. and Titi, Edriss S.},
	date = {2001},
	keywords = {Camassa–Holm equations, Euler- model, Large eddy simulation, {N}avier–{S}tokes- model}
}
@article{popovic2012,
	title = {Symmetry preserving parametrization schemes},
	volume = {53},
    year = {2012},
	doi = {10.1063/1.4734344},
	pages = {07312-1 -- 07312-36},
	journaltitle = {Journal of Mathematical Physics},
	author = {Popovich, R. and Bihlo, A.}
}
@article{bihlo2013,
	title = {Conservative parametrization schemes},
	volume = {54},
    year = {2013},
	doi = {10.1063/1.4816123},
	pages = {08313-1 -- 08313-24},
	journaltitle = {Journal of Mathematical Physics},
	author = {Bihlo, A. and Bluman, G.}
}
@article{chou1945,
	title = {On velocity correlations and the solutions of the equations of turbulent flucuation},
	volume = {3},
	number = {1},
    year = {1945},
	pages = {38-54},
	journaltitle = {Quarterly of Applied Mathematics},
	author = {Chou, P.}
}
@article{rotta1951,
	title = {Statistische Theorie nichthomogener Turbulenz},
	volume = {129},
	number = {6},
    year = {1951},
	pages = {537-566},
	journaltitle = {Zeitschrift fuer Physik},
	author = {Rotta, J.}
}
@article{launder1975,
	title = {Progress in the Development of a Reynolds-Stress Turbulent Closure},
	volume = {269},
    year = {1975},
	pages = {143-168},
	journaltitle = {Journal of Fluid Mechanics},
	author = {Launder, B. and Reece, G. and Rodi, W.}
}
@article{speziale1991,
	title={Modelling the pressure-strain correlation of turbulence: an invariant dynamical systems approach},
	volume={227},
	DOI={10.1017/S0022112091000101},
	journal={Journal of Fluid Mechanics},
	publisher={Cambridge University Press},
	author={Speziale, Charles G. and Sarkar, Sutanu and Gatski, Thomas B.},
	year={1991},
	pages={245–272}
}
@article{shih1993,
	title = {A Realizable Reynolds Stress Algebraic Equation Model},
	pages = {38},
	author = {Shih, Tsan-Hsing and Zhu, Jiang},
	journal={NASA Technical Memorandum},
    number={105993},
    year={1993},
	langid = {english}
}
@article{boussinesq1877,
  Title                    = {Essai sur la th\'{e}orie des eaux courantes},
  Author                   = {Boussinesq, J.},
  Year                     = {1877},
  Pages                    = {1-680},
  Journal                  = {M\'{e}moires pr\'{e}sent\'{e}s par divers savants \`{a} l’Acad\'{e}mie des Sciences},
  Number                   = {XXIII, 1}
}
@article{prandtl1925,
  Title                    = {Über die Ausgebildete Turbulenz},
  Author                   = {Prandtl, L.},
  Year                     = {1925},
  Pages                    = {136-139},
  Journal                  = {Z. Angew. Math. Mech.},
  Number                   = {5}
}
@article{jones1972,
  Title                    = {The Prediction Of Laminarization With A Two-Equation Model Of Turbulence},
  Author                   = {Jones, W.P. and Launder, B.E.},
  Year                     = {1972},
  Pages                    = {301-314},
  Journal                  = {Int. J. Heat Mass Transfer},
  Number                   = {15}
}
@article{wilcox1988,
	title = {Reassessment of the scale-determining equation for advanced turbulence models},
	volume = {26},
	issn = {0001-1452},
	url = {https://arc.aiaa.org/doi/10.2514/3.10041},
	doi = {10.2514/3.10041},
	pages = {1299--1310},
	number = {11},
	journaltitle = {{AIAA} Journal},
	shortjournal = {{AIAA} Journal},
	author = {Wilcox, David C.},
	urldate = {2018-05-16},
	date = {1988-11-01},
    year = {1988}
}
@article{bosss,
	title = {An Extension of the Discontinuous Galerkin Method for the singular Poisson equation},
	issn = {1064-8275},
	url = {https://tubiblio.ulb.tu-darmstadt.de/65899},
	pages = {A603 - A622},
	number = {35.2},
	journaltitle = {SIAM Journal on Scientific Computing},
	author = {Kummer, F. and Oberlack, M.},
    year = {2013},
}
@article{sadeghi2018,
    title = {On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation},
    author = {Sadeghi, H. and Oberlack, M. and Gauding, M.},
    year = {2018},
    journal = {Journal of Fluid Mechanics}
}

@article{bytev1972,
  title={Group properties of the {N}avier-{S}tokes equations},
  author={Bytev, V. O.},
  journal={Chislennye metody mehaniki sploshnoy sredy},
  volume={3},
  pages={13--17},
  year={1972},
  publisher={Comp. center Siberian Dep. Acad. Sci. USSR Novosibirsk}
}

@article{schaefer-rolffs2019,
title = "The scale invariance criterion for geophysical fluids",
author = "Urs Schaefer-Rolffs",
journal = "European Journal of Mechanics - B/Fluids",
volume = "74",
pages = "92 - 98",
year = "2019",
issn = "0997-7546",
doi = "https://doi.org/10.1016/j.euromechflu.2018.11.005",
url = "http://www.sciencedirect.com/science/article/pii/S0997754618303893",
}

@Article{schaefer-rolffs2015,
author = "Schaefer-Rolffs, Urs and Kn{\"o}pfel, Rahel and Becker, Erich",
journal = "Meteorologische Zeitschrift",
DATE_ADDED = 	 {Fri May 24 11:01:22 2019},
month = 03,
year = 2015,
title = "A scale invariance criterion for LES parametrizations",
number = "1",
volume = "24",
pages = {3-13},
url = "http://dx.doi.org/10.1127/metz/2014/0623",
doi = "10.1127/metz/2014/0623",
publisher = "Schweizerbart Science Publishers",
address = "Stuttgart, Germany"
}

@article{hirai1988,
  author = {Shuichiro Hirai and Toshimi Takagi and Masaharu Matsumoto},
  title = {Predictions of the Laminarization Phenomena in an Axially Rotating Pipe Flow},
  journal = {Journal of Fluids Engineering},
  year = {1988},
  volume = {110},
  number = {4},
  pages = {424},
  doi = {10.1115/1.3243573},
  url = {http://dx.doi.org/10.1115/1.3243573},
}

@article{escue2010,
  author =	 {Andrew Escue and Jie Cui},
  title =	 {Comparison of Turbulence Models in Simulating
                  Swirling Pipe Flows},
  journal =	 {Applied Mathematical Modelling},
  volume =	 34,
  number =	 10,
  pages =	 {2840-2849},
  year =	 2010,
  doi =		 {10.1016/j.apm.2009.12.018},
  url =		 {https://doi.org/10.1016/j.apm.2009.12.018},
  DATE_ADDED =	 {Fri May 24 11:03:02 2019},
}

@inproceedings{stoellinger2015,
  author =	 {Michael K. Stoellinger and Rajib Roy and Neil
                  Ashton},
  title =	 {Application of an Elliptic Blending Reynolds Stress
                  Model in Attached and Separated flows (Invited)},
  booktitle =	 {22nd AIAA Computational Fluid Dynamics Conference},
  year =	 2015,
  doi =		 {10.2514/6.2015-2926},
  url =		 {https://doi.org/10.2514/6.2015-2926},
  DATE_ADDED =	 {Fri May 24 11:02:32 2019},
  month =	 6,
}

@article{rubinstein2004,
  author =	 {Robert Rubinstein and Ye Zhou},
  title =	 {Turbulence Modeling for the Axially Rotating Pipe
                  From the Viewpoint of Analytical Closures},
  journal =	 {Theoretical and Computational Fluid Dynamics},
  volume =	 17,
  number =	 {5-6},
  pages =	 {299-312},
  year =	 2004,
  doi =		 {10.1007/s00162-004-0111-y},
  url =		 {https://doi.org/10.1007/s00162-004-0111-y},
  DATE_ADDED =	 {Fri May 24 11:07:55 2019},
}

@article{wallin2000,
  author =	 {Stefan Wallin and Arne V. Johansson},
  title =	 {An Explicit Algebraic Reynolds Stress Model for
                  Incompressible and Compressible Turbulent Flows},
  journal =	 {Journal of Fluid Mechanics},
  volume =	 403,
  pages =	 {89-132},
  year =	 2000,
  doi =		 {10.1017/s0022112099007004},
  url =		 {https://doi.org/10.1017/s0022112099007004},
  DATE_ADDED =	 {Fri May 24 11:44:23 2019},
}



@book{frisch1995,
  author =	 {Uriel Frisch},
  title =	 {Turbulence: The legacy of A. N. Kolmogorov},
  year =	 {1995},
  url =		 {https://doi.org/10.1007/BF02508484},
  DATE_ADDED =	 {Fri May 24 13:54:55 2019},
  doi =		 {10.1007/BF02508484},
  month =	 {11},
}

@book{drazin_riley_2006,
    place={Cambridge},
    series={London Mathematical Society Lecture Note Series},
    title={The {N}avier-{S}tokes Equations: A Classification of Flows and Exact Solutions},
    DOI={10.1017/CBO9780511526459},
    publisher={Cambridge University Press},
    author={Drazin, P. G. and Riley, N.},
    year={2006},
    collection={London Mathematical Society Lecture Note Series}}

@article{gatski2000,
  author =	 {T.B. Gatski and T. Jongen},
  title =	 {Nonlinear Eddy Viscosity and Algebraic Stress Models
                  for Solving Complex Turbulent Flows},
  journal =	 {Progress in Aerospace Sciences},
  volume =	 36,
  number =	 8,
  pages =	 {655-682},
  year =	 2000,
  doi =		 {10.1016/s0376-0421(00)00012-9},
  url =		 {https://doi.org/10.1016/s0376-0421(00)00012-9},
  DATE_ADDED =	 {Tue May 28 15:31:48 2019},
}

@article{gatski1993,
  author =	 {T. B. Gatski and C. G. Speziale},
  title =	 {On Explicit Algebraic Stress Models for Complex
                  Turbulent Flows},
  journal =	 {Journal of Fluid Mechanics},
  volume =	 254,
  number =	 {-1},
  pages =	 59,
  year =	 1993,
  doi =		 {10.1017/s0022112093002034},
  url =		 {https://doi.org/10.1017/s0022112093002034},
  DATE_ADDED =	 {Wed May 29 10:19:50 2019},
}

@Article{oberlack1999,
  author       = {Oberlack, Martin},
  year	       = 1999,
  volume       = 62,
  number       = 2,
  pages	       = {111–135},
  issn	       = {1386-6184},
  doi	       = {10.1023/a:1009929312914},
  url	       = {http://dx.doi.org/10.1023/A:1009929312914},
  journal      = {Flow, Turbulence and Combustion},
  publisher    = {Springer Nature}
}

@Article{durbin1991,
author="Durbin, P. A.",
title="Near-wall turbulence closure modeling without ``damping functions''",
journal="Theoretical and Computational Fluid Dynamics",
year="1991",
month="Sep",
day="01",
volume="3",
number="1",
pages="1--13",
abstract="An elliptic relaxation model is proposed for the strongly inhomogeneous region near the wall in wall-bounded turbulent shear flow. This model enables the correct kinematic boundary condition to be imposed on the normal component of turbulent intensity. Hence, wall blocking is represented. Means for enforcing the correct boundary conditions on the other components of intensity and on the k --- ɛ equations are discussed. The present model agrees quite well with direct numerical simulation (DNS) data. The virtue of the present approach is that arbitrary ``damping functions'' are not required.",
issn="1432-2250",
doi="10.1007/BF00271513",
url="https://doi.org/10.1007/BF00271513"
}

@article{hanjalic2004,
  author =	 {K. Hanjali{\'c} and M. Popovac and M. Hadžiabdi{\'c}},
  title =	 {A Robust Near-Wall Elliptic-Relaxation Eddy-Viscosity Turbulence Model for Cfd},
  journal =	 {International Journal of Heat and Fluid Flow},
  volume =	 25,
  number =	 6,
  pages =	 {1047-1051},
  year =	 2004,
  doi =		 {10.1016/j.ijheatfluidflow.2004.07.005},
  url = {https://doi.org/10.1016/j.ijheatfluidflow.2004.07.005},
  DATE_ADDED =	 {Tue Jun 4 12:03:45 2019},
}


@article{hanjalic1976,
  author =	 {K. Hanjali{\'c} and B. E. Launder},
  title =	 {Contribution Towards a Reynolds-Stress Closure for
                  Low-Reynolds-Number Turbulence},
  journal =	 {Journal of Fluid Mechanics},
  volume =	 74,
  number =	 4,
  pages =	 {593-610},
  year =	 1976,
  doi =		 {10.1017/s0022112076001961},
  url =		 {https://doi.org/10.1017/s0022112076001961},
  DATE_ADDED =	 {Tue Jun 4 12:08:05 2019},
}

@book{andreev1998,
  author =	 {V. K. Andreev and O. V. Kaptsov and V. V. Pukhnachov
                  and A. A. Rodionov},
  title =	 {Applications of Group-Theoretical Methods in
                  Hydrodynamics},
  year =	 1998,
  publisher =	 {Springer Netherlands},
  url =		 {https://doi.org/10.1007/978-94-017-0745-9},
  DATE_ADDED =	 {Tue Jun 4 15:29:55 2019},
  doi =		 {10.1007/978-94-017-0745-9}
}


@article{barenblatt1993,
  author =	 {G. I. Barenblatt},
  title =	 {Scaling Laws for Fully Developed Turbulent Shear
                  Flows. Part 1. Basic Hypotheses and Analysis},
  journal =	 {Journal of Fluid Mechanics},
  volume =	 248,
  pages =	 {513-520},
  year =	 1993,
  doi =		 {10.1017/s0022112093000874},
  url =		 {https://doi.org/10.1017/s0022112093000874},
  DATE_ADDED =	 {Wed Jun 12 09:48:22 2019},
}

@article{barenblatt2014,
  author =	 {G. I. Barenblatt and A. J. Chorin and V. M. Prostokishin},
  title =	 {Turbulent Flows At Very Large Reynolds Numbers: New
                  Lessons Learned},
  journal =	 {Physics-Uspekhi},
  volume =	 57,
  number =	 3,
  pages =	 {250-256},
  year =	 2014,
  doi =		 {10.3367/ufne.0184.201403d.0265},
  url =		 {https://doi.org/10.3367/ufne.0184.201403d.0265},
  DATE_ADDED =	 {Wed Jun 12 09:50:15 2019},
}

@article{barenblatt1993b,
  author =	 {G. I. Barenblatt and V. M. Prostokishin},
  title =	 {Scaling Laws for Fully Developed Turbulent Shear
                  Flows. Part 2. Processing of Experimental Data},
  journal =	 {Journal of Fluid Mechanics},
  volume =	 248,
  pages =	 {521-529},
  year =	 1993,
  doi =		 {10.1017/s0022112093000886},
  url =		 {https://doi.org/10.1017/s0022112093000886},
  DATE_ADDED =	 {Wed Jun 12 09:53:24 2019},
}

@article{george2007,
  author =	 {William K. George},
  title =	 {Is There a Universal Log Law for Turbulent
                  Wall-Bounded Flows?},
  journal =	 {Philosophical Transactions of the Royal Society A:
                  Mathematical, Physical and Engineering Sciences},
  volume =	 365,
  number =	 1852,
  pages =	 {789-806},
  year =	 2007,
  doi =		 {10.1098/rsta.2006.1941},
  url =		 {https://doi.org/10.1098/rsta.2006.1941},
  DATE_ADDED =	 {Wed Jun 12 09:56:41 2019},
}

@article{george1997,
  author =	 {William K. George and Luciano Castillo},
  title =	 {Zero-Pressure-Gradient Turbulent Boundary Layer},
  journal =	 {Applied Mechanics Reviews},
  volume =	 50,
  number =	 12,
  pages =	 689,
  year =	 1997,
  doi =		 {10.1115/1.3101858},
  url =		 {https://doi.org/10.1115/1.3101858},
  DATE_ADDED =	 {Wed Jun 12 10:01:39 2019},
}

@Article{jimenez2008,
  author       = {Jiménez, Javier and Hoyas, Sergio},
  title	       = {Turbulent fluctuations above the buffer layer of
                  wall-bounded flows},
  year	       = 2008,
  volume       = 611,
  month	       = {Sep},
  pages	       = {215–236},
  issn	       = {1469-7645},
  doi	       = {10.1017/s0022112008002747},
  url	       = {http://dx.doi.org/10.1017/S0022112008002747},
  journal      = {Journal of Fluid Mechanics},
  publisher    = {Cambridge University Press (CUP)}
}



@article{jimenez2018,
  author =	 {Javier Jim{\'e}nez},
  title =	 {Coherent Structures in Wall-Bounded Turbulence},
  journal =	 {Journal of Fluid Mechanics},
  volume =	 842,
  pages =	 {P1},
  year =	 2018,
  doi =		 {10.1017/jfm.2018.144},
  url =		 {https://doi.org/10.1017/jfm.2018.144},
  DATE_ADDED =	 {Wed Jun 12 10:05:23 2019},
}

@article{jimenez2012,
  author =	 {Javier Jim{\'e}nez},
  title =	 {Cascades in Wall-Bounded Turbulence},
  journal =	 {Annual Review of Fluid Mechanics},
  volume =	 44,
  number =	 1,
  pages =	 {27-45},
  year =	 2012,
  doi =		 {10.1146/annurev-fluid-120710-101039},
  url =		 {https://doi.org/10.1146/annurev-fluid-120710-101039},
  DATE_ADDED =	 {Wed Jun 12 10:09:34 2019},
}

@article{jimenez2013,
  author =	 {Javier Jim{\'e}nez},
  title =	 {Near-Wall Turbulence},
  journal =	 {Physics of Fluids},
  volume =	 25,
  number =	 10,
  pages =	 101302,
  year =	 2013,
  doi =		 {10.1063/1.4824988},
  url =		 {https://doi.org/10.1063/1.4824988},
  DATE_ADDED =	 {Wed Jun 12 10:22:45 2019},
}

@article{lindgren2004,
  author =	 {Björn Lindgren and Jens M. Sterlund and Arne V.
                  Johansson},
  title =	 {Evaluation of Scaling Laws Derived From Lie Group
                  Symmetry Methods in Zero-Pressure-Gradient Turbulent
                  Boundary Layers},
  journal =	 {Journal of Fluid Mechanics},
  volume =	 502,
  pages =	 {127-152},
  year =	 2004,
  doi =		 {10.1017/s0022112003007675},
  url =		 {https://doi.org/10.1017/s0022112003007675},
  DATE_ADDED =	 {Wed Jun 12 10:29:53 2019},
}

@article{marusic2010,
  author =	 {I. Marusic and B. J. McKeon and P. A. Monkewitz and
                  H. M. Nagib and A. J. Smits and K. R. Sreenivasan},
  title =	 {Wall-Bounded Turbulent Flows At High Reynolds
                  Numbers: Recent Advances and Key Issues},
  journal =	 {Physics of Fluids},
  volume =	 22,
  number =	 6,
  pages =	 065103,
  year =	 2010,
  doi =		 {10.1063/1.3453711},
  url =		 {https://doi.org/10.1063/1.3453711},
  DATE_ADDED =	 {Wed Jun 12 10:40:46 2019},
}

@article{gad-el-hak1994,
  author =	 {Mohamed Gad-el-Hak and Promode R. Bandyopadhyay},
  title =	 {Reynolds Number Effects in Wall-Bounded Turbulent
                  Flows},
  journal =	 {Applied Mechanics Reviews},
  volume =	 47,
  number =	 8,
  pages =	 307,
  year =	 1994,
  doi =		 {10.1115/1.3111083},
  url =		 {https://doi.org/10.1115/1.3111083},
  DATE_ADDED =	 {Wed Jun 12 11:11:55 2019},
}

@article{hoyas06_scalin_veloc_fluct_turbul_chann,
  author =	 {Sergio Hoyas and Javier Jim{\'e}nez},
  title =	 {Scaling of the Velocity Fluctuations in Turbulent
                  Channels Up To Reτ=2003},
  journal =	 {Physics of Fluids},
  volume =	 18,
  number =	 1,
  pages =	 011702,
  year =	 2006,
  doi =		 {10.1063/1.2162185},
  url =		 {https://doi.org/10.1063/1.2162185},
  DATE_ADDED =	 {Wed Jun 12 11:48:55 2019},
}

@article{oesterlund2000,
  author =	 {Jens M. {\"O}sterlund and Arne V. Johansson and
                  Hassan M. Nagib and Michael H. Hites},
  title =	 {A Note on the Overlap Region in Turbulent Boundary
                  Layers},
  journal =	 {Physics of Fluids},
  volume =	 12,
  number =	 1,
  pages =	 {1-4},
  year =	 2000,
  doi =		 {10.1063/1.870250},
  url =		 {https://doi.org/10.1063/1.870250},
  DATE_ADDED =	 {Wed Jun 12 11:49:29 2019},
}

@article{nagib08_variat_von_karman_coeff_canon_flows,
  author =	 {Hassan M. Nagib and Kapil A. Chauhan},
  title =	 {Variations of Von K{\'a}rm{\'a}n Coefficient in
                  Canonical Flows},
  journal =	 {Physics of Fluids},
  volume =	 20,
  number =	 10,
  pages =	 101518,
  year =	 2008,
  doi =		 {10.1063/1.3006423},
  url =		 {https://doi.org/10.1063/1.3006423},
  DATE_ADDED =	 {Wed Jun 12 11:49:08 2019},
}

@article{oberlack2001b,
  author =	 {Martin Oberlack},
  title =	 {A Unified Approach for Symmetries in Plane Parallel
                  Turbulent Shear Flows},
  journal =	 {Journal of Fluid Mechanics},
  volume =	 427,
  pages =	 {299-328},
  year =	 2001,
  doi =		 {10.1017/s0022112000002408},
  url =		 {https://doi.org/10.1017/s0022112000002408},
  DATE_ADDED =	 {Wed Jul 3 12:15:13 2019},
}

@book{bluman2002,
  author =	 {George Bluman and Stephen Anco},
  title =	 {Symmetry and Integration Methods for Differential
                  Equations},
  year =	 {2002},
  publisher =	 {Springer New York},
  url =		 {https://doi.org/10.1007/b97380},
  DATE_ADDED =	 {Fri Jul 5 10:10:57 2019},
  doi =		 {10.1007/b97380},
  series =	 {Applied Mathematical Sciences},
}

@book{townsend1956,
  title={The Structure of Turbulent Shear Flow},
  author={Townsend, A.A.},
  series={Cambridge Monographs on Mechanics},
  year={1956},
  publisher={Cambridge University Press}
}
@Article{guenther2005,
  author       = {Guenther, S. and Oberlack, M.},
  title	       = {Incompatibility of the exponential scaling law for a
                  zero pressure gradient boundary layer flow with
                  Reynolds averaged turbulence models},
  year	       = 2005,
  volume       = 17,
  number       = 4,
  month	       = {Apr},
  pages	       = 048105,
  issn	       = {1089-7666},
  doi	       = {10.1063/1.1879053},
  url	       = {http://dx.doi.org/10.1063/1.1879053},
  journal      = {Physics of Fluids},
  publisher    = {AIP Publishing}
}
@Article{guenther2005b,
  author       = {Guenther, Silke and Oberlack, Martin},
  title	       = {Implication for Lie group symmetries for {RANS}
                  modeling},
  year	       = 2005,
  volume       = 5,
  number       = 1,
  month	       = {Dec},
  pages	       = {563–564},
  issn	       = {1617-7061},
  doi	       = {10.1002/pamm.200510258},
  url	       = {http://dx.doi.org/10.1002/pamm.200510258},
  journal      = {PAMM},
  publisher    = {Wiley}
}

@Article{Bassi_2014,
  author       = {Bassi, F. and Ghidoni, A. and Perbellini, A. and
                  Rebay, S. and Crivellini, A. and Franchina, N. and
                  Savini, M.},
  title        = {A high-order Discontinuous Galerkin solver for the
                  incompressible RANS and k–$\omega$ turbulence model
                  equations},
  year         = 2014,
  volume       = 98,
  month        = {7},
  pages        = {54–68},
  issn         = {0045-7930},
  doi          = {10.1016/j.compfluid.2014.02.028},
  url          = {http://dx.doi.org/10.1016/j.compfluid.2014.02.028},
  journal      = {Computers \& Fluids},
  publisher    = {Elsevier BV}
}

@Article{klingenberg2020,
  author       = {Klingenberg, Dario Simon and Oberlack, Martin and Pluemacher, Dominik},
  title        = {Symmetries and turbulence modeling},
  year         = 2020,
  volume       = 32,
  number       = 2,
  month        = {2},
  issn         = {1089-7666},
  doi          = {10.1063/1.5141165},
  url          = {http://dx.doi.org/10.1063/1.5141165},
  journal      = {Physics of Fluids},
  keywords     = {dfgown},
  publisher    = {AIP Publishing}
}

@article{libby1975,
  author          = {Paul A. Libby},
  title           = {On the Prediction of Intermittent Turbulent Flows},
  journal         = {Journal of Fluid Mechanics},
  volume          = 68,
  number          = 02,
  pages           = 273,
  year            = 1975,
  doi             = {10.1017/s0022112075000808},
  url             = {https://doi.org/10.1017/s0022112075000808},
  DATE_ADDED      = {Tue Aug 3 11:48:04 2021},
}

@article{dopazo1977,
  author          = {C{\'e}asar Dopazo},
  title           = {On Conditioned Averages for Intermittent Turbulent Flows},
  journal         = {Journal of Fluid Mechanics},
  volume          = 81,
  number          = 03,
  pages           = 433,
  year            = 1977,
  doi             = {10.1017/s0022112077002158},
  url             = {https://doi.org/10.1017/s0022112077002158},
  DATE_ADDED      = {Tue Aug 3 11:49:21 2021},
}

@article{byggstoyl1986,
  author          = {S. Byggstoyl and W. Kollmann},
  title           = {Stress Transport in the Rotational and Irrotational Zones
                  of Turbulent Shear Flows},
  journal         = {Physics of Fluids},
  volume          = 29,
  number          = 5,
  pages           = 1423,
  year            = 1986,
  doi             = {10.1063/1.865659},
  url             = {https://doi.org/10.1063/1.865659},
  DATE_ADDED      = {Tue Aug 3 11:50:53 2021},
}

@inproceedings{rubel1984,
  author          = {A. Rubel and R. Melnik},
  title           = {Jet, wake and wall jet similarity solutions using a
                  k-epsilon turbulence model},
  booktitle       = {17th Fluid Dynamics, Plasma Dynamics, and Lasers
                  Conference},
  year            = 1984,
  doi             = {10.2514/6.1984-1523},
  url             = {https://doi.org/10.2514/6.1984-1523},
  DATE_ADDED      = {Fri Aug 13 08:16:12 2021},
  month           = 6,
}

@article{launder1974,
  author          = {B.E. Launder and B.I. Sharma},
  title           = {Application of the Energy-Dissipation Model of Turbulence
                  To the Calculation of Flow Near a Spinning Disc},
  journal         = {Letters in Heat and Mass Transfer},
  volume          = 1,
  number          = 2,
  pages           = {131-137},
  year            = 1974,
  doi             = {10.1016/0094-4548(74)90150-7},
  url             = {https://doi.org/10.1016/0094-4548(74)90150-7},
  DATE_ADDED      = {Fri Aug 13 08:36:36 2021},
}

@article{hoyas2022,
  title = {Wall turbulence at high friction Reynolds numbers},
  author = {Hoyas, Sergio and Oberlack, Martin and Alc\'antara-\'Avila, Francisco and Kraheberger, Stefanie V. and Laux, Jonathan},
  journal = {Phys. Rev. Fluids},
  volume = {7},
  issue = {1},
  pages = {014602},
  numpages = {10},
  year = {2022},
  month = {1},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevFluids.7.014602},
  url = {https://link.aps.org/doi/10.1103/PhysRevFluids.7.014602}
}

@article{oberlack2022,
  title = {Turbulence Statistics of Arbitrary Moments of Wall-Bounded Shear Flows: A Symmetry Approach},
  author = {Oberlack, Martin and Hoyas, Sergio and Kraheberger, Stefanie V. and Alc\'antara-\'Avila, Francisco and Laux, Jonathan},
  journal = {Phys. Rev. Lett.},
  volume = 128,
  issue = 2,
  pages = 024502,
  numpages = 6,
  year = 2022,
  month = {1},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevLett.128.024502},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.128.024502}
}

@phdthesis{umlauf2001,
    Type                    = {Dissertation},
    Title                   = {Turbulence parameterisation in hydrobiological models for natural waters},
    Author                  = {Umlauf, Lars},
    School                  = {Technical University of Darmstadt},
    Year                    = {2001}
}

@article{umlauf2003,
title = {Extending the k–$\omega$ turbulence model towards oceanic applications},
journal = {Ocean Modelling},
volume = {5},
number = {3},
pages = {195-218},
year = {2003},
issn = {1463-5003},
doi = {https://doi.org/10.1016/S1463-5003(02)00039-2},
url = {https://www.sciencedirect.com/science/article/pii/S1463500302000392},
author = {L Umlauf and H Burchard and K Hutter},
abstract = {Four different two-equation turbulence models for geophysical flows are compared: The k–$\varepsilon$ model, two new versions of the k–$\omega$ model, and the Mellor–Yamada model. An extension of the k–$\omega$ model for buoyancy affected and rotating flows is suggested. Model performance is evaluated for a few typical oceanic flows. First, new analytical solutions of the models for the surface layer affected by breaking surface waves are discussed. The deficiencies of earlier attempts are high-lighted, and it is demonstrated why the Mellor–Yamada model and the k–ϵ model fail. It is illustrated that only one version of the k–$\omega$ model computes correct decay rates for turbulent quantities under breaking waves. Second, it is demonstrated that all models predict almost identical mixed layer depths and profiles for the turbulent kinetic energy in a classical stratified shear-entrainment experiment if the buoyancy term in the second equation is appropriately weighted. Third, the accuracy and numerical robustness of the new k–$\omega$ model in realistic oceanic situations is confirmed by comparison with the data-set of the Ocean Weather Ship ‘Papa’.}
}

@article{bassi2005,
title = {Discontinuous Galerkin solution of the Reynolds-averaged {N}avier–{S}tokes and k–$\omega$ turbulence model equations},
journal = {Computers \& Fluids},
volume = {34},
number = {4},
pages = {507-540},
year = {2005},
note = {Residual Distribution Schemes, Discontinuous Galerkin Schemes and Adaptation},
issn = {0045-7930},
doi = {https://doi.org/10.1016/j.compfluid.2003.08.004},
url = {https://www.sciencedirect.com/science/article/pii/S0045793004000374},
author = {Francesco Bassi and Andrea Crivellini and Stefano Rebay and Marco Savini},
abstract = {Discontinuous Galerkin methods, originally developed in the advective case, have been successively extended to advection–diffusion problems, and are now used in very diverse applications. We here consider the numerical solution of the compressible Reynolds-averaged {N}avier–{S}tokes and k–ω turbulence model equations by means of DG space discretization and implicit time integration. Detailed description of the DG discretization of the viscous part of the equations and of several implementation details of the k–ω turbulence model are given. To assess the performance of the proposed methodology we present the results obtained in the computation of the turbulent flow over a flat plate and of the turbulent unsteady wake developing behind a turbine blade.}
}

@article{cockburn2003,
  author          = {B. Cockburn},
  title           = {Discontinuous Galerkin Methods},
  journal         = {ZAMM},
  volume          = 83,
  number          = 11,
  pages           = {731-754},
  year            = 2003,
  doi             = {10.1002/zamm.200310088},
  url             = {http://dx.doi.org/10.1002/zamm.200310088},
  DATE_ADDED      = {Fri Feb 18 15:56:52 2022},
}

@book{hesthaven2008,
  author          = {Jan S. Hesthaven and Tim Warburton},
  title           = {Nodal Discontinuous Galerkin Methods},
  year            = 2008,
  publisher       = {Springer New York},
  url             = {http://dx.doi.org/10.1007/978-0-387-72067-8},
  DATE_ADDED      = {Fri Feb 18 16:00:14 2022},
  doi             = {10.1007/978-0-387-72067-8},
  series          = {Texts in Applied Mathematics},
}

@book{schaefer2006,
  author          = {Michael Schäfer},
  title           = {Computational Engineering - Introduction to Numerical
                  Methods},
  year            = {2006},
  publisher       = {Springer-Verlag},
  url             = {http://dx.doi.org/10.1007/3-540-30686-2},
  DATE_ADDED      = {Mon Feb 21 08:34:04 2022},
  doi             = {10.1007/3-540-30686-2},
}

@article{tiberga2020,
  author          = {Marco Tiberga and Aldo Hennink and Jan Leen Kloosterman and
                  Danny Lathouwers},
  title           = {A High-Order Discontinuous Galerkin Solver for the
                  Incompressible Rans Equations Coupled To The $k-\varepsilon$ turbulence
                  Model},
  journal         = {Computers \& Fluids},
  volume          = 212,
  pages           = 104710,
  year            = 2020,
  doi             = {10.1016/j.compfluid.2020.104710},
  url             = {http://dx.doi.org/10.1016/j.compfluid.2020.104710},
  DATE_ADDED      = {Mon Feb 21 08:54:48 2022},
}

@article{ilinca1998,
  author          = {Florin Ilinca and Dominique Pelletier},
  title           = {Positivity Preservation and Adaptive Solution for the k-$\varepsilon$
                  Model of Turbulence},
  journal         = {AIAA Journal},
  volume          = 36,
  number          = 1,
  pages           = {44-50},
  year            = 1998,
  doi             = {10.2514/2.350},
  url             = {http://dx.doi.org/10.2514/2.350},
  DATE_ADDED      = {Mon Feb 21 09:01:37 2022},
}

@inbook{lumley1978,
  DATE_ADDED      = {Mon Feb 21 10:30:19 2022},
  author          = {John L. Lumley},
  booktitle       = {Advances in Applied Mechanics},
  doi             = {10.1016/s0065-2156(08)70266-7},
  pages           = {123-176},
  publisher       = {Elsevier},
  series          = {Advances in Applied Mechanics},
  title           = {Computational Modeling of Turbulent Flows},
  url             = {http://dx.doi.org/10.1016/S0065-2156(08)70266-7},
  year            = 1979,
}


@Article{kolmogorov1941,
  author          = {Kolmogorov, Andrey Nikolaevich},
  title           = {The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers},
  journaltitle    = {Doklady Akademii Nauk SSSR},
  date            = {1941},
  volume       = {30},
  pages        = {299-303},
}

@Article{kolmogorov1942,
  author          = {Kolmogorov, Andrey Nikolaevich},
  title           = {Equations of Turbulent Motion of an Incompressible Fluid},
  journaltitle    = {Ivzestia Academy of Sciences},
  date            = {1942},
  OPTjournalsubtitle = {Physics},
  OPTvolume       = {6},
  OPTnumber       = {1 and 2},
  OPTpages        = {56-58},
}


@Article{launder1972,
  author          = {Launder, Brian Edward and Spalding, Dudley Brian},
  title           = {Mathematical Models of Turbulence},
  journaltitle    = {Academic Press},
  date            = {1972},
}

@article{saffmann1970,
  author          = {Saffmann, Paul Geoffrey},
  title           = {A Model for Inhomogeneous Turbulent Flow},
  journal         = {Proceedings of the Royal Society of London. A. Mathematical
                  and Physical Sciences},
  volume          = {317},
  number          = {1530},
  pages           = {417-433},
  year            = {1970},
  doi             = {10.1098/rspa.1970.0125},
  url             = {http://dx.doi.org/10.1098/rspa.1970.0125},
  DATE_ADDED      = {Mon Feb 21 10:51:42 2022},
}

@article{bihlo2014,
  author          = {Alexander Bihlo and Elsa Dos Santos Cardoso-Bihlo and Roman
                  O. Popovych},
  title           = {Invariant Parameterization and Turbulence Modeling on the
                  Beta-Plane},
  journal         = {Physica D: Nonlinear Phenomena},
  volume          = 269,
  pages           = {48-62},
  year            = 2014,
  doi             = {10.1016/j.physd.2013.11.010},
  url             = {http://dx.doi.org/10.1016/j.physd.2013.11.010},
  DATE_ADDED      = {Mon Feb 21 11:24:17 2022},
}

@article{wygnanski1969,
  author          = {I. Wygnanski and H. Fiedler},
  title           = {Some Measurements in the Self-Preserving Jet},
  journal         = {Journal of Fluid Mechanics},
  volume          = 38,
  number          = 3,
  pages           = {577-612},
  year            = 1969,
  doi             = {10.1017/s0022112069000358},
  url             = {http://dx.doi.org/10.1017/S0022112069000358},
  DATE_ADDED      = {Tue Mar 1 08:55:07 2022},
}

@article{menter1994,
  author          = {F. R. Menter},
  title           = {Two-Equation Eddy-Viscosity Turbulence Models for
                  Engineering Applications},
  journal         = {AIAA Journal},
  volume          = 32,
  number          = 8,
  pages           = {1598-1605},
  year            = 1994,
  doi             = {10.2514/3.12149},
  url             = {http://dx.doi.org/10.2514/3.12149},
  DATE_ADDED      = {Wed Mar 2 08:26:28 2022},
}

@article{nokes1988,
  author          = {R. I. Nokes},
  title           = {On the Entrainment Rate Across a Density Interface},
  journal         = {Journal of Fluid Mechanics},
  volume          = 188,
  pages           = {185-204},
  year            = 1988,
  doi             = {10.1017/s0022112088000692},
  url             = {http://dx.doi.org/10.1017/S0022112088000692},
  DATE_ADDED      = {Wed Mar 2 08:43:52 2022},
}

@inbook{olver2013fds,
  DATE_ADDED      = {Fri Mar 4 09:26:54 2022},
  author          = {Peter J. Olver},
  booktitle       = {Introduction to Partial Differential Equations},
  doi             = {10.1007/978-3-319-02099-0_5},
  pages           = {181-214},
  publisher       = {Springer International Publishing},
  series          = {Introduction to Partial Differential Equations},
  title           = {Finite Differences},
  url             = {http://dx.doi.org/10.1007/978-3-319-02099-0_5},
  year            = 2013,
}

@book{olver14_introd_partial_differ_equat,
  author          = {Peter J. Olver},
  title           = {Introduction to Partial Differential Equations},
  year            = 2014,
  publisher       = {Springer International Publishing},
  url             = {http://dx.doi.org/10.1007/978-3-319-02099-0},
  DATE_ADDED      = {Fri Mar 4 09:27:33 2022},
  doi             = {10.1007/978-3-319-02099-0},
  series          = {Undergraduate Texts in Mathematics},
}

@Article{pawlowski2006,
  author       = {Roger P. Pawlowski and John N. Shadid and Joseph P. Simonis and Homer F. Walker},
  title        = {Globalization Techniques for {N}ewton–{K}rylov Methods and Applications to the Fully Coupled Solution of the {N}avier–{S}tokes Equations},
  year         = 2006,
  volume       = 48,
  issue        = {4},
  pages        = {700–721},
  doi          = {10.1137/S0036144504443511},
  url          = {https://doi.org/10.1137/S0036144504443511},
  journal      = {SIAM Review},
  publisher    = {SIAM}
}

@phdthesis{schoenawa2014,
    type                    = {Dissertation},
    title                   = {Higher-order discontinuous Galerkin discretizations of
two-Equation models of turbulence},
    author                  = {Schoenawa, Stefan},
    school                  = {Technische Universitaet Carolo-Wilhemina zu Braunschweig},
    year                    = {2014}
}

@techreport{cebeci1967,
  title={Numerical solution of the turbulent-boundary-layer equations},
  author={Smith, AM and Cebeci, Tuncer},
  year={1967},
  institution={Douglas Aircraft CO Long Beach CA Aircraft Div}
}

@inproceedings{baldwin1978,
  author          = {Barrett Baldwin and Harvard Lomax},
  title           = {Thin-layer approximation and algebraic model for separated
                  turbulentflows},
  booktitle       = {16th Aerospace Sciences Meeting},
  year            = 1978,
  doi             = {10.2514/6.1978-257},
  url             = {http://dx.doi.org/10.2514/6.1978-257},
  DATE_ADDED      = {Fri Mar 11 13:45:27 2022},
  month           = 1,
}

@article{jakirlic2002,
  author          = {S. Jakirli{\'c} and K. Hanjali{\'c}},
  title           = {A New Approach To Modelling Near-Wall Turbulence Energy and
                  Stress Dissipation},
  journal         = {Journal of Fluid Mechanics},
  volume          = 459,
  pages           = {139-166},
  year            = 2002,
  doi             = {10.1017/s0022112002007905},
  url             = {http://dx.doi.org/10.1017/S0022112002007905},
  DATE_ADDED      = {Fri Mar 11 13:52:35 2022},
}

@inbook{hanjalic1993,
  DATE_ADDED      = {Fri Mar 11 14:00:37 2022},
  author          = {K. Hanjali{\'c} and S. Jakirli{\'c}},
  booktitle       = {Advances in Turbulence IV},
  doi             = {10.1007/978-94-011-1689-3_80},
  pages           = {513-518},
  publisher       = {Springer Netherlands},
  series          = {Advances in Turbulence IV},
  title           = {A Model of Stress Dissipation in Second-Moment Closures},
  url             = {http://dx.doi.org/10.1007/978-94-011-1689-3_80},
  year            = 1993,
}

@book{ferziger2020,
  author          = {Joel H. Ferziger and Milovan Peri{\'c} and Robert L.
                  Street},
  title           = {Numerische Str{\"o}mungsmechanik},
  year            = 2020,
  publisher       = {Springer Berlin Heidelberg},
  url             = {http://dx.doi.org/10.1007/978-3-662-46544-8},
  doi             = {10.1007/978-3-662-46544-8},
  series          = {[]},
}

@article{courant1928,
  author          = {Richard Courant and Kurt Friedrichs and Hans Lewy},
  title           = {Über Die Partiellen Differenzengleichungen Der
                  Mathematischen Physik},
  journal         = {Mathematische Annalen},
  volume          = 100,
  number          = 1,
  pages           = {32-74},
  year            = 1928,
  doi             = {10.1007/bf01448839},
  url             = {http://dx.doi.org/10.1007/BF01448839},
  DATE_ADDED      = {Fri Mar 11 15:14:57 2022},
}

@article{sympy,
 title = {SymPy: symbolic computing in Python},
 author = {Meurer, Aaron and Smith, Christopher P. and Paprocki, Mateusz and \v{C}ert\'{i}k, Ond\v{r}ej and Kirpichev, Sergey B. and Rocklin, Matthew and Kumar, AMiT and Ivanov, Sergiu and Moore, Jason K. and Singh, Sartaj and Rathnayake, Thilina and Vig, Sean and Granger, Brian E. and Muller, Richard P. and Bonazzi, Francesco and Gupta, Harsh and Vats, Shivam and Johansson, Fredrik and Pedregosa, Fabian and Curry, Matthew J. and Terrel, Andy R. and Rou\v{c}ka, \v{S}t\v{e}p\'{a}n and Saboo, Ashutosh and Fernando, Isuru and Kulal, Sumith and Cimrman, Robert and Scopatz, Anthony},
 year = 2017,
 month = jan,
 keywords = {Python, Computer algebra system, Symbolics},
 abstract = {SymPy is an open source computer algebra system written in pure Python. It is built with a focus on extensibility and ease of use, through both interactive and programmatic applications. These characteristics have led SymPy to become a popular symbolic library for the scientific Python ecosystem. This paper presents the architecture of SymPy, a description of its features, and a discussion of select submodules. The supplementary material provide additional examples and further outline details of the architecture and features of SymPy.},
 volume = 3,
 journal = {PeerJ Computer Science},
 issn = {2376-5992},
 url = {https://doi.org/10.7717/peerj-cs.103},
 doi = {10.7717/peerj-cs.103}
}

@article{lundgren1967,
  author          = {T. S. Lundgren},
  title           = {Distribution Functions in the Statistical Theory of
                  Turbulence},
  journal         = {Physics of Fluids},
  volume          = 10,
  number          = 5,
  pages           = 969,
  year            = 1967,
  doi             = {10.1063/1.1762249},
  url             = {http://dx.doi.org/10.1063/1.1762249},
  DATE_ADDED      = {Fri Mar 11 15:36:12 2022},
}

@article{hopf1952,
  title={Statistical hydromechanics and functional calculus},
  author={Hopf, Eberhard},
  journal={Journal of rational Mechanics and Analysis},
  volume={1},
  pages={87--123},
  year={1952},
  publisher={JSTOR}
}

@Thesis{laux2020,
  author={Jonathan Laux},
  title           = {Validation and assessment of symmetry-induced turbulent scaling laws using experimental and numerical data},
  type            = {Bachelor's Thesis},
  institution     = {Technical University Darmstadt},
  date            = {2020},
}


@Thesis{benedikt2022,
  author={Nils Benedikt},
  title           = {Development of a Reynolds Stress Turbulence Model Subject to Statistical Symmetry Constraints},
  type            = {Bachelor's Thesis},
  institution     = {Technical University Darmstadt},
  date            = {2022},
}

@Thesis{schaeferjan2021,
  author={Jan Schäfer},
  title           = {Extension of Symmetry-Invariant Modeling Strategies to Novel Turbulence Models},
  type            = {Master's Thesis},
  institution     = {Technical University Darmstadt},
  date            = {2021},
}

@book{john1978,
  author          = {Fritz John},
  title           = {Partial Differential Equations},
  year            = 1978,
  publisher       = {Springer US},
  url             = {http://dx.doi.org/10.1007/978-1-4684-0059-5},
  DATE_ADDED      = {Fri Mar 11 16:25:04 2022},
  doi             = {10.1007/978-1-4684-0059-5},
  series          = {Applied Mathematical Sciences},
}

@book{deuflhard2011,
  author          = {Peter Deuflhard},
  title           = {Newton Methods for Nonlinear Problems},
  year            = 2011,
  publisher       = {Springer Berlin Heidelberg},
  url             = {http://dx.doi.org/10.1007/978-3-642-23899-4},
  DATE_ADDED      = {Thu Mar 17 10:35:17 2022},
  doi             = {10.1007/978-3-642-23899-4},
  series          = {Springer Series in Computational Mathematics},
}

@article{powell1970,
author="Powell, M. J. D.",
title="A hybrid method for nonlinear equations",
journal="Numerical Methods for Nonlinear Algebraic Equations",
ISSN="",
publisher="Gordon and Breach",
year="1970",
month="",
volume="",
number="",
pages="",
URL="https://ci.nii.ac.jp/naid/10006528967/en/",
DOI="",
}

@article{yoshizawa1993,
  author          = {Akira Yoshizawa},
  title           = {Derivation of a Model Reynolds‐stress Transport Equation
                  Using the Renormalization of the Eddy‐viscosity‐type
                  Representation},
  journal         = {Physics of Fluids A: Fluid Dynamics},
  volume          = 5,
  number          = 3,
  pages           = {707-715},
  year            = 1993,
  doi             = {10.1063/1.858654},
  url             = {http://dx.doi.org/10.1063/1.858654},
  DATE_ADDED      = {Fri Mar 18 10:45:57 2022},
}

@article{yoshizawa1984,
  author          = {Akira Yoshizawa},
  title           = {Statistical Analysis of the Deviation of the Reynolds
                  Stress From Its Eddy-Viscosity Representation},
  journal         = {Physics of Fluids},
  volume          = 27,
  number          = 6,
  pages           = 1377,
  year            = 1984,
  doi             = {10.1063/1.864780},
  url             = {http://dx.doi.org/10.1063/1.864780},
  DATE_ADDED      = {Fri Mar 18 10:47:03 2022},
}


@article{rubinstein1990,
  author          = {Robert Rubinstein and J. Michael Barton},
  title           = {Nonlinear Reynolds Stress Models and the Renormalization
                  Group},
  journal         = {Physics of Fluids A: Fluid Dynamics},
  volume          = 2,
  number          = 8,
  pages           = {1472-1476},
  year            = 1990,
  doi             = {10.1063/1.857595},
  url             = {http://dx.doi.org/10.1063/1.857595},
  DATE_ADDED      = {Fri Mar 18 10:52:24 2022},
}


@article{craft1996,
  author          = {T.J. Craft and B.E. Launder and K. Suga},
  title           = {Development and Application of a Cubic Eddy-Viscosity Model
                  of Turbulence},
  journal         = {International Journal of Heat and Fluid Flow},
  volume          = 17,
  number          = 2,
  pages           = {108-115},
  year            = 1996,
  doi             = {10.1016/0142-727x(95)00079-6},
  url             = {http://dx.doi.org/10.1016/0142-727X(95)00079-6},
  DATE_ADDED      = {Fri Mar 18 10:56:05 2022},
}


@article{Cockburn2002,
title = "Local discontinuous Galerkin methods for the Stokes system",
abstract = "In this paper, we introduce and analyze local discontinuous Galerkin methods for the Stokes system. For a class of shape regular meshes with hanging nodes we derive a priori estimates for the L2-norm of the errors in the velocities and the pressure. We show that optimal-order estimates are obtained when polynomials of degree k are used for each component of the velocity and polynomials of degree k - 1 for the pressure, for any k ≥ 1. We also consider the case in which all the unknowns are approximated with polynomials of degree k and show that, although the orders of convergence remain the same, the method is more efficient. Numerical experiments verifying these facts are displayed.",
keywords = "Discontinuous Galerkin methods, Finite elements, Stokes system",
author = "Bernardo Cockburn and Guido Kanschat and Dominik Sch{\"o}tzau and Christoph Schwab",
note = "Copyright: Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.",
year = "2002",
month = apr,
doi = "10.1137/S0036142900380121",
language = "English (US)",
volume = "40",
pages = "319--343",
journal = "SIAM Journal on Numerical Analysis",
issn = "0036-1429",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "1",
}

@inproceedings{rodi1976,
  title={A new algebraic relation for calculating the Reynolds stresses},
  author={Rodi, Wolfgang},
  booktitle={Gesellschaft Angewandte Mathematik und Mechanik Workshop Paris France},
  volume={56},
  pages={219},
  year={1976}
}

@article{pope1975,
  author          = {S. B. Pope},
  title           = {A More General Effective-Viscosity Hypothesis},
  journal         = {Journal of Fluid Mechanics},
  volume          = 72,
  number          = 02,
  pages           = 331,
  year            = 1975,
  doi             = {10.1017/s0022112075003382},
  url             = {http://dx.doi.org/10.1017/S0022112075003382},
  DATE_ADDED      = {Thu Mar 31 14:27:19 2022},
}

@article{klein2015,
  author          = {B. Klein and F. Kummer and M. Keil and M. Oberlack},
  title           = {An Extension of the Simple Based Discontinuous Galerkin
                  Solver To Unsteady Incompressible Flows},
  journal         = {International Journal for Numerical Methods in Fluids},
  volume          = 77,
  number          = 10,
  pages           = {571-589},
  year            = 2015,
  doi             = {10.1002/fld.3994},
  url             = {http://dx.doi.org/10.1002/fld.3994},
  DATE_ADDED      = {Thu Mar 31 15:40:10 2022},
}


@article{klein2013,
  author          = {Benedikt Klein and Florian Kummer and Martin Oberlack},
  title           = {A Simple Based Discontinuous Galerkin Solver for Steady
                  Incompressible Flows},
  journal         = {Journal of Computational Physics},
  volume          = 237,
  pages           = {235-250},
  year            = 2013,
  doi             = {10.1016/j.jcp.2012.11.051},
  url             = {http://dx.doi.org/10.1016/j.jcp.2012.11.051},
  DATE_ADDED      = {Thu Mar 31 15:41:07 2022},
}

@article{mueller2016,
  author          = {B. M{\"u}ller and S. Kr{\"a}mer-Eis and F. Kummer and M.
                  Oberlack},
  title           = {A High-Order Discontinuous Galerkin Method for Compressible
                  Flows With Immersed Boundaries},
  journal         = {International Journal for Numerical Methods in Engineering},
  volume          = 110,
  number          = 1,
  pages           = {3-30},
  year            = 2016,
  doi             = {10.1002/nme.5343},
  url             = {http://dx.doi.org/10.1002/nme.5343},
  DATE_ADDED      = {Thu Mar 31 15:41:48 2022},
}

@article{geisenhofer2019,
  author          = {Markus Geisenhofer and Florian Kummer and Bj{\"o}rn
                  M{\"u}ller},
  title           = {A Discontinuous Galerkin Immersed Boundary Solver for
                  Compressible Flows: Adaptive Local Time Stepping for
                  Artificial Viscosity-Based Shock‐capturing on Cut Cells},
  journal         = {International Journal for Numerical Methods in Fluids},
  volume          = 91,
  number          = 9,
  pages           = {448-472},
  year            = 2019,
  doi             = {10.1002/fld.4761},
  url             = {http://dx.doi.org/10.1002/fld.4761},
  DATE_ADDED      = {Thu Mar 31 15:42:54 2022},
}


@article{kummer2016,
  author          = {Florian Kummer},
  title           = {Extended Discontinuous Galerkin Methods for Two-Phase
                  Flows: the Spatial Discretization},
  journal         = {International Journal for Numerical Methods in Engineering},
  volume          = 109,
  number          = 2,
  pages           = {259-289},
  year            = 2016,
  doi             = {10.1002/nme.5288},
  url             = {http://dx.doi.org/10.1002/nme.5288},
  DATE_ADDED      = {Thu Mar 31 15:43:38 2022},
}

@article{gruending2020,
  author          = {D. Gr{\"u}nding and M. Smuda and T. Antritter and M. Fricke
                  and D. Rettenmaier and F. Kummer and P. Stephan and H.
                  Marschall and D. Bothe},
  title           = {A Comparative Study of Transient Capillary Rise Using
                  Direct Numerical Simulations},
  journal         = {Applied Mathematical Modelling},
  volume          = 86,
  pages           = {142-165},
  year            = 2020,
  doi             = {10.1016/j.apm.2020.04.020},
  url             = {http://dx.doi.org/10.1016/j.apm.2020.04.020},
  DATE_ADDED      = {Thu Mar 31 15:44:42 2022},
}


@inbook{kikker2018,
  DATE_ADDED      = {Thu Mar 31 15:45:16 2022},
  author          = {Anne Kikker and Florian Kummer},
  booktitle       = {Lecture Notes in Computational Science and Engineering},
  doi             = {10.1007/978-3-319-93891-2_4},
  pages           = {51-61},
  publisher       = {Springer International Publishing},
  series          = {Lecture Notes in Computational Science and Engineering},
  title           = {A High-Order Local Discontinuous Galerkin Scheme for
                  Viscoelastic Fluid Flow},
  url             = {http://dx.doi.org/10.1007/978-3-319-93891-2_4},
  year            = 2018,
}

@article{brezzi1974,
author = {Brezzi, F.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {eng},
number = {R2},
pages = {129-151},
publisher = {Dunod},
title = {On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers},
url = {http://eudml.org/doc/193255},
volume = {8},
year = {1974},
}


@article{babuska1973,
  author          = {Ivo Babu{\v{s}}ka},
  title           = {The Finite Element Method With Lagrangian Multipliers},
  journal         = {Numerische Mathematik},
  volume          = 20,
  number          = 3,
  pages           = {179-192},
  year            = 1973,
  doi             = {10.1007/bf01436561},
  url             = {http://dx.doi.org/10.1007/BF01436561},
  DATE_ADDED      = {Thu Mar 31 16:16:37 2022},
}

@inproceedings{spalart1992,
  author          = {Phillipe Spalart and Steven Allmaras},
  title           = {A one-equation turbulence model for aerodynamic flows},
  booktitle       = {30th Aerospace Sciences Meeting and Exhibit},
  year            = 1992,
  doi             = {10.2514/6.1992-439},
  url             = {http://dx.doi.org/10.2514/6.1992-439},
  DATE_ADDED      = {Fri Apr 1 10:00:08 2022},
  month           = 1,
}


@article{reynolds1883,
  author          = {Osborne Reynolds},
  title           = {III. An Experimental Investigation of the Circumstances
                  Which Determine Whether the Motion of Water Shall Be Direct Or
                  Sinuous, and of the Law of Resistance in Parallel Channels},
  journal         = {Proceedings of the Royal Society of London},
  volume          = {35},
  number          = {224-226},
  pages           = {84-99},
  year            = {1883},
  doi             = {10.1098/rspl.1883.0018},
  url             = {http://dx.doi.org/10.1098/rspl.1883.0018},
  DATE_ADDED      = {Fri Apr 1 16:56:35 2022},
}


@article{pope1994,
  author          = {S B Pope},
  title           = {Lagrangian Pdf Methods for Turbulent Flows},
  journal         = {Annual Review of Fluid Mechanics},
  volume          = 26,
  number          = 1,
  pages           = {23-63},
  year            = 1994,
  doi             = {10.1146/annurev.fl.26.010194.000323},
  url             = {http://dx.doi.org/10.1146/annurev.fl.26.010194.000323},
  DATE_ADDED      = {Wed Apr 6 10:38:53 2022},
}

@article{pope2011,
  author          = {Stephen B. Pope},
  title           = {Simple Models of Turbulent Flows},
  journal         = {Physics of Fluids},
  volume          = 23,
  number          = 1,
  pages           = 011301,
  year            = 2011,
  doi             = {10.1063/1.3531744},
  url             = {http://dx.doi.org/10.1063/1.3531744},
  DATE_ADDED      = {Wed Apr 6 10:59:43 2022},
}


@article{oberlack1993,
  author          = {M. Oberlack and N. Peters},
  title           = {Closure of the Two-Point Correlation Equation As a Basis
                  for Reynolds Stress Models},
  journal         = {Applied Scientific Research},
  volume          = 51,
  number          = {1-2},
  pages           = {533-538},
  year            = 1993,
  doi             = {10.1007/bf01082587},
  url             = {http://dx.doi.org/10.1007/BF01082587},
  DATE_ADDED      = {Wed Apr 6 11:10:59 2022},
}

@article{gutierrez2021,
  author          = {Juan Guti{\'e}rrez‐Jorquera and Florian Kummer},
  title           = {A Fully Coupled High‐order Discontinuous Galerkin Method
                  for Diffusion Flames in a Low‐mach Number Framework},
  DATE_ADDED      = {Tue Apr 12 13:26:00 2022},
  journal         = {International Journal for Numerical Methods in Fluids},
  year            = {2021},
  volume          = {94},
  number          = {4},
  pages           = {316-345},
  doi             = {10.1002/fld.5056},
  url             = {http://dx.doi.org/10.1002/fld.5056},
}


@article{daly1970,
  author          = {Bart J. Daly and Francis H. Harlow},
  title           = {Transport Equations in Turbulence},
  journal         = {Physics of Fluids},
  volume          = 13,
  number          = 11,
  pages           = 2634,
  year            = 1970,
  doi             = {10.1063/1.1692845},
  url             = {http://dx.doi.org/10.1063/1.1692845},
  DATE_ADDED      = {Fri May 6 09:18:22 2022},
}

@article{shir1973,
  author          = {C. C. Shir},
  title           = {A Preliminary Numerical Study of Atmospheric Turbulent
                  Flows in the Idealized Planetary Boundary Layer},
  journal         = {Journal of the Atmospheric Sciences},
  volume          = 30,
  number          = 7,
  pages           = {1327-1339},
  year            = 1973,
  doi             = {10.1175/1520-0469(1973)030<1327:apnsoa>2.0.co;2},
  url             =
                  {http://dx.doi.org/10.1175/1520-0469(1973)030<1327:APNSOA>2.0.CO;2},
  DATE_ADDED      = {Fri May 6 09:26:04 2022},
}

@article{hanjalic1972,
  author          = {K. Hanjali{\'c} and B. E. Launder},
  title           = {Fully Developed Asymmetric Flow in a Plane Channel},
  journal         = {Journal of Fluid Mechanics},
  volume          = 51,
  number          = 2,
  pages           = {301-335},
  year            = 1972,
  doi             = {10.1017/s0022112072001211},
  url             = {http://dx.doi.org/10.1017/S0022112072001211},
  DATE_ADDED      = {Fri May 6 09:34:42 2022},
}

@article{mellor1973,
  author          = {George L. Mellor and H. James Herring},
  title           = {A Survey of the Mean Turbulent Field Closure Models.},
  journal         = {AIAA Journal},
  volume          = 11,
  number          = 5,
  pages           = {590-599},
  year            = 1973,
  doi             = {10.2514/3.6803},
  url             = {http://dx.doi.org/10.2514/3.6803},
  DATE_ADDED      = {Fri May 6 09:36:59 2022},
}

@article{gibson1978,
  author          = {M. M. Gibson and B. E. Launder},
  title           = {Ground Effects on Pressure Fluctuations in the Atmospheric Boundary Layer},
  journal         = {Journal of Fluid Mechanics},
  volume          = 86,
  number          = 3,
  pages           = {491-511},
  year            = 1978,
  doi             = {10.1017/s0022112078001251},
  url             = {http://dx.doi.org/10.1017/S0022112078001251},
  DATE_ADDED      = {Fri May 6 10:11:39 2022},
}

@article{sarkar1990,
  author          = {Sutanu Sarkar and Charles G. Speziale},
  title           = {A Simple Nonlinear Model for the Return To Isotropy in
                  Turbulence},
  journal         = {Physics of Fluids A: Fluid Dynamics},
  volume          = 2,
  number          = 1,
  pages           = {84-93},
  year            = 1990,
  doi             = {10.1063/1.857694},
  url             = {http://dx.doi.org/10.1063/1.857694},
  DATE_ADDED      = {Fri May 6 10:41:55 2022},
}


@article{chung1995,
  author          = {Myung Kyoon Chung and Soong Kee Kim},
  title           = {A Nonlinear Return‐to‐isotropy Model With Reynolds Number
                  and Anisotropy Dependency},
  journal         = {Physics of Fluids},
  volume          = 7,
  number          = 6,
  pages           = {1425-1437},
  year            = 1995,
  doi             = {10.1063/1.868760},
  url             = {http://dx.doi.org/10.1063/1.868760},
  DATE_ADDED      = {Fri May 6 10:43:18 2022},
}

@article{karman1930,
	author		= {von Kármán, Theodore},
	title 		= {Mechanische Ähnlichkeit und Turbulenz},
	journal		= {Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen},
	pages		= {58-76},
	year 		= {1930},
}

@article{pietrasanta2022,
  author = {Leonardo Pietrasanta and Shaokai Zheng and Dario De Marinis and David Hasler and Dominik Obrist},
  title = {Characterization of Turbulent Flow Behind a Transcatheter Aortic Valve in Different Implantation Positions},
  DATE_ADDED      = {Wed May 11 08:56:44 2022},
  journal = {Frontiers in Cardiovascular Medicine},
  year = {2022},
  volume = {8},
  doi = {10.3389/fcvm.2021.804565},
  url = {http://dx.doi.org/10.3389/fcvm.2021.804565},
}

@article{noether1918,
author = {Noether, E.},
journal = {Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse},
language = {ger},
pages = {235-257},
title = {Invariante Variationsprobleme},
url = {http://eudml.org/doc/59024},
volume = {1918},
year = {1918},
}

@book{dipietro2012,
  author = {Daniele Antonio Di Pietro and Alexandre Ern},
  title = {Mathematical Aspects of Discontinuous Galerkin Methods},
  DATE_ADDED      = {Tue May 17 08:32:46 2022},
  series = {Mathématiques et Applications},
  publisher = {Springer Berlin Heidelberg},
  year = {2012},
  doi = {10.1007/978-3-642-22980-0},
  url = {http://dx.doi.org/10.1007/978-3-642-22980-0},
}

@article{shahbazi2005,
  author = {Khosro Shahbazi},
  title = {An explicit expression for the penalty parameter of the interior penalty method},
  DATE_ADDED      = {Tue May 17 09:43:05 2022},
  journal = {Journal of Computational Physics},
  year = {2005},
  volume = {205},
  number = {2},
  pages = {401-407},
  doi = {10.1016/j.jcp.2004.11.017},
  url = {http://dx.doi.org/10.1016/j.jcp.2004.11.017},
}

@book{hairer1996,
  author = {Ernst Hairer and Gerhard Wanner},
  title = {Solving Ordinary Differential Equations II},
  DATE_ADDED      = {Tue May 17 14:21:28 2022},
  series = {Springer Series in Computational Mathematics},
  publisher = {Springer Berlin Heidelberg},
  year = {1996},
  doi = {10.1007/978-3-642-05221-7},
  url = {http://dx.doi.org/10.1007/978-3-642-05221-7},
}

@article{malkus1956,
  author = {W. V. R. Malkus},
  title = {Outline of a theory of turbulent shear flow},
  DATE_ADDED      = {Thu Jul 28 08:20:09 2022},
  journal = {Journal of Fluid Mechanics},
  year = {1956},
  volume = {1},
  number = {5},
  pages = {521-539},
  doi = {10.1017/s0022112056000342},
  url = {http://dx.doi.org/10.1017/S0022112056000342},
}


@article{lozano-duran2021,
  author = {Adrián Lozano-Durán and Navid C. Constantinou and Marios-Andreas Nikolaidis and Michael Karp},
  title = {Cause-and-effect of linear mechanisms sustaining wall turbulence},
  DATE_ADDED      = {Thu Jul 28 08:20:36 2022},
  journal = {Journal of Fluid Mechanics},
  year = {2021},
  volume = {914},
  pages = {A8},
  doi = {10.1017/jfm.2020.902},
  url = {http://dx.doi.org/10.1017/jfm.2020.902},
}

@article{reynolds1967,
  author = {W. C. Reynolds and W. G. Tiederman},
  title = {Stability of turbulent channel flow, with application to Malkus's theory},
  DATE_ADDED      = {Fri Jul 29 08:02:16 2022},
  journal = {Journal of Fluid Mechanics},
  year = {1967},
  volume = {27},
  number = {2},
  pages = {253-272},
  doi = {10.1017/s0022112067000308},
  url = {http://dx.doi.org/10.1017/S0022112067000308},
}


@article{kerswell2022,
  author = {Vilda K. Markeviciute and Rich R. Kerswell},
  title = {Threshold transient growth as a criterion for turbulent mean profiles},
  journal = {Journal of Fluid Mechanics},
  DATE_ADDED      = {Fri Jul 29 08:17:59 2022},
  year = {2024},
  doi = {10.48550/ARXIV.2206.09681},
  url = {https://arxiv.org/abs/2206.09681},
}

@article{burns2020,
       author = {{Burns}, Keaton J. and {Vasil}, Geoffrey M. and {Oishi}, Jeffrey S. and {Lecoanet}, Daniel and {Brown}, Benjamin P.},
        title = "{Dedalus: A flexible framework for numerical simulations with spectral methods}",
      journal = {Physical Review Research},
     keywords = {Astrophysics - Instrumentation and Methods for Astrophysics, Physics - Computational Physics, Physics - Fluid Dynamics},
         year = 2020,
        month = apr,
       volume = {2},
       number = {2},
          eid = {023068},
        pages = {023068},
          doi = {10.1103/PhysRevResearch.2.023068},
archivePrefix = {arXiv},
       eprint = {1905.10388},
 primaryClass = {astro-ph.IM},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2020PhRvR...2b3068B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


@article{schoppa2002,
  author = {W. Schoppa and F. Hussain},
  title = {Coherent structure generation in near-wall turbulence},
  DATE_ADDED      = {Fri Aug  5 11:47:26 2022},
  journal = {Journal of Fluid Mechanics},
  year = {2002},
  volume = {453},
  pages = {57-108},
  doi = {10.1017/s002211200100667x},
  url = {http://dx.doi.org/10.1017/S002211200100667X},
}

@article{cess1958,
  author = {Cess, R. D.},
  title = {A survey of the literature on heat transfer in turbulent tube flow},
  year = {1958},
  journal = {Westinghouse Research},
  volume = {Rep. 8-0529-R24},
}

@article{jimenez1999,
  author = {Javier Jiménez and Alfredo Pinelli},
  title = {The autonomous cycle of near-wall turbulence},
  DATE_ADDED      = {Tue Aug  9 09:44:50 2022},
  journal = {Journal of Fluid Mechanics},
  year = {1999},
  volume = {389},
  pages = {335-359},
  doi = {10.1017/s0022112099005066},
  url = {http://dx.doi.org/10.1017/S0022112099005066},
}


@book{schmid2001,
  author = {Peter J. Schmid and Dan S. Henningson},
  title = {Stability and Transition in Shear Flows},
  series = {Applied Mathematical Sciences},
  publisher = {Springer New York},
  year = {2001},
  doi = {10.1007/978-1-4613-0185-1},
  url = {http://dx.doi.org/10.1007/978-1-4613-0185-1},
}

@article{kim2006,
  author = {John Kim and Thomas R. Bewley},
  title = {A Linear Systems Approach to Flow Control},
  DATE_ADDED      = {Tue Aug  9 13:52:04 2022},
  journal = {Annual Review of Fluid Mechanics},
  year = {2007},
  volume = {39},
  number = {1},
  pages = {383-417},
  doi = {10.1146/annurev.fluid.39.050905.110153},
  url = {http://dx.doi.org/10.1146/annurev.fluid.39.050905.110153},
}


@article{cossu2007,
  author = {Carlo Cossu and Mattias Chevalier and Dan S. Henningson},
  title = {Optimal secondary energy growth in a plane channel flow},
  DATE_ADDED      = {Tue Aug  9 17:16:56 2022},
  journal = {Physics of Fluids},
  year = {2007},
  volume = {19},
  number = {5},
  pages = {058107},
  doi = {10.1063/1.2736678},
  url = {http://dx.doi.org/10.1063/1.2736678},
}


@article{delalamo2006,
  author = {Juan C. del Álamo and Javier Jiménez and Paulo Zandonade and Robert D. Moser},
  title = {Self-similar vortex clusters in the turbulent logarithmic region},
  DATE_ADDED      = {Wed Aug 10 11:53:13 2022},
  journal = {Journal of Fluid Mechanics},
  year = {2006},
  volume = {561},
  pages = {329},
  doi = {10.1017/s0022112006000814},
  url = {http://dx.doi.org/10.1017/S0022112006000814}
}

@article{lee2015,
  author = {Myoungkyu Lee and Robert D. Moser},
  title = {Direct numerical simulation of turbulent channel flow up to},
  DATE_ADDED      = {Wed Aug 10 11:55:21 2022},
  journal = {Journal of Fluid Mechanics},
  year = {2015},
  volume = {774},
  pages = {395-415},
  doi = {10.1017/jfm.2015.268},
  url = {http://dx.doi.org/10.1017/jfm.2015.268}
}

@article{graham2015,
  author = {J. Graham and K. Kanov and X. I. A. Yang and M. Lee and N. Malaya and C. C. Lalescu and R. Burns and G. Eyink and A. Szalay and R. D. Moser and C. Meneveau},
  title = {A Web services accessible database of turbulent channel flow and its use for testing a new integral wall model for LES},
  DATE_ADDED      = {Wed Aug 10 11:57:43 2022},
  journal = {Journal of Turbulence},
  year = {2015},
  volume = {17},
  number = {2},
  pages = {181-215},
  doi = {10.1080/14685248.2015.1088656},
  url = {http://dx.doi.org/10.1080/14685248.2015.1088656}
}


@article{li2008,
  author = {Yi Li and Eric Perlman and Minping Wan and Yunke Yang and Charles Meneveau and Randal Burns and Shiyi Chen and Alexander Szalay and Gregory Eyink},
  title = {A public turbulence database cluster and applications to study Lagrangian evolution of velocity increments in turbulence},
  DATE_ADDED      = {Wed Aug 10 11:59:01 2022},
  journal = {arXiv},
  year = {2008},
  doi = {10.48550/ARXIV.0804.1703},
  url = {https://arxiv.org/abs/0804.1703}
}

@article{kuehnen2018,
  author = {Jakob Kühnen and Baofang Song and Davide Scarselli and Nazmi Burak Budanur and Michael Riedl and Ashley P. Willis and Marc Avila and Björn Hof},
  title = {Destabilizing turbulence in pipe flow},
  DATE_ADDED      = {Wed Aug 10 12:10:11 2022},
  journal = {Nature Physics},
  year = {2018},
  volume = {14},
  number = {4},
  pages = {386-390},
  doi = {10.1038/s41567-017-0018-3},
  url = {http://dx.doi.org/10.1038/s41567-017-0018-3}
}

@Thesis{babu2019,
  author={Anandh Ramesh Babu},
  title           = {CFD investigation on wheel modelling and car aerodynamics},
  type            = {Master's Thesis},
  institution     = {Chalmers University of Technology},
  date            = {2019}
}

@article{kline1967,
  author = {S. J. Kline and W. C. Reynolds and F. A. Schraub and P. W. Runstadler},
  title = {The structure of turbulent boundary layers},
  DATE_ADDED      = {Tue Aug 16 10:20:21 2022},
  journal = {Journal of Fluid Mechanics},
  year = {1967},
  volume = {30},
  number = {4},
  pages = {741-773},
  doi = {10.1017/s0022112067001740},
  url = {http://dx.doi.org/10.1017/S0022112067001740}
}

@article{cossu2017,
  author = {Carlo Cossu and Yongyun Hwang},
  title = {Self-sustaining processes at all scales in wall-bounded turbulent shear flows},
  DATE_ADDED      = {Tue Aug 16 10:21:05 2022},
  journal = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year = {2017},
  volume = {375},
  number = {2089},
  pages = {20160088},
  doi = {10.1098/rsta.2016.0088},
  url = {http://dx.doi.org/10.1098/rsta.2016.0088}
}

@article{mckeon2017,
  author = {B. J. McKeon},
  title = {The engine behind (wall) turbulence: perspectives on scale interactions},
  DATE_ADDED      = {Tue Aug 16 10:21:35 2022},
  journal = {Journal of Fluid Mechanics},
  year = {2017},
  volume = {817},
  pages = {P1},
  doi = {10.1017/jfm.2017.115},
  url = {http://dx.doi.org/10.1017/jfm.2017.115}
}

@article{reynolds1972,
  author = {W. C. Reynolds and A. K. M. F. Hussain},
  title = {The mechanics of an organized wave in turbulent shear flow. Part 3. Theoretical models and comparisons with experiments},
  DATE_ADDED      = {Tue Aug 16 15:29:52 2022},
  journal = {Journal of Fluid Mechanics},
  year = {1972},
  volume = {54},
  number = {2},
  pages = {263-288},
  doi = {10.1017/s0022112072000679},
  url = {http://dx.doi.org/10.1017/S0022112072000679}
}

@article{malkus1979,
  author = {Willem V. R. Malkus},
  title = {Turbulent velocity profiles from stability criteria},
  DATE_ADDED      = {Tue Aug 16 15:31:11 2022},
  journal = {Journal of Fluid Mechanics},
  year = {1979},
  volume = {90},
  number = {3},
  pages = {401-414},
  doi = {10.1017/s0022112079002317},
  url = {http://dx.doi.org/10.1017/S0022112079002317}
}

@article{laux2022,
  author = {Jonathan Laux and Dario Simon Klingenberg and Martin Oberlack},
  title = {},
  year = {2022}
}

@article{rao1971,
  author = {K. Narahari Rao and R. Narasimha and M. A. Badri Narayanan},
  title = {The ‘bursting’ phenomenon in a turbulent boundary layer},
  DATE_ADDED      = {Mon Aug 29 10:37:51 2022},
  journal = {Journal of Fluid Mechanics},
  year = {1971},
  volume = {48},
  number = {2},
  pages = {339-352},
  doi = {10.1017/s0022112071001605},
  url = {http://dx.doi.org/10.1017/S0022112071001605}
}

@article{marusic2013,
  author = {Ivan Marusic and Jason P. Monty and Marcus Hultmark and Alexander J. Smits},
  title = {On the logarithmic region in wall turbulence},
  DATE_ADDED      = {Wed Aug 31 13:55:08 2022},
  journal = {Journal of Fluid Mechanics},
  year = {2013},
  volume = {716},
  pages = {R3},
  doi = {10.1017/jfm.2012.511},
  url = {http://dx.doi.org/10.1017/jfm.2012.511}
}


@article{reddy1993,
  author = {Satish C. Reddy and Dan S. Henningson},
  title = {Energy growth in viscous channel flows},
  DATE_ADDED      = {Wed Nov 16 11:43:16 2022},
  journal = {Journal of Fluid Mechanics},
  year = {1993},
  volume = {252},
  pages = {209-238},
  doi = {10.1017/s0022112093003738},
  url = {http://dx.doi.org/10.1017/S0022112093003738}
}

@inproceedings{orr1907,
  title={The stability or instability of the steady motions of a perfect liquid and of a viscous liquid. Part II: A viscous liquid},
  author={Orr, William M.F.},
  booktitle={Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences},
  volume={27},
  pages={69--138},
  year={1907},
  organization={JSTOR}
}

@book{sommerfeld1909,
  title={Ein Beitrag zur hydrodynamischen Erklärung der turbulenten Flüssigkeitsbewegungen},
  author={Sommerfeld, A.},
  editor={Castelnuovo, Guido},
  volume={3},
  year={1909},
  journal={Atti del IV Congresso internazionale dei matematici:(Roma, 6-11 Aprile 1908)},
  publisher={Tip. della R. Accademia dei Lincei; propriet{\`a} del cav. V. Salviucci}
}

@incollection{tollmien1930,
  title={{\"U}ber die Entstehung der Turbulenz},
  author={Tollmien, Walter},
  booktitle={Vortr{\"a}ge aus dem Gebiete der Aerodynamik und verwandter Gebiete},
  pages={18--21},
  year={1930},
  publisher={Springer}
}

@article{schlichting1933,
  title={Zur Enstehung der Turbulenz bei der Plattenstr{\"o}mung},
  author={Schlichting, Hermann},
  journal={Nachrichten von der Gesellschaft der Wissenschaften zu G{\"o}ttingen, Mathematisch-Physikalische Klasse},
  volume={1933},
  pages={181--208},
  year={1933}
}

@techreport{Chiarulli1948,
  title = {Stability of the Boundary Layer},
  author = {Chiarulli, Peter and Freeman, John Clinton},
  year = {1948},
  address = {{Headquarters Air Materiel Command, Dayton}},
  number = {no. F-TR-1197-IA},
  type = {Tech. {{Rep}}}
}

@article{HughesReid1965,
  title = {On the Stability of the Asymptotic Suction Boundary-Layer Profile},
  author = {Hughes, T. H. and Reid, W. H.},
  year = {1965},
  month = dec,
  volume = {23},
  pages = {715--735},
  issn = {0022-1120, 1469-7645},
  doi = {10.1017/S0022112065001647},
  abstract = {This paper presents a discussion of some aspects of the linear stability problem for the asymptotic suction profile. An exact solution of the inviscid equation is first obtained in terms of the usual hypergeometric function and its analytical continuation. This exact solution provides both a corrected version of an earlier treatment by Freeman and an independent check on the more general method suggested for solving the inviscid equation numerically. Various approximations to the characteristic equation, and hence to the curve of neutral stability, are then considered. In particular, it is found that, in a consistent asymptotic treatment of the related adjoint problem, at least one viscous correction to the singular inviscid solution must be considered. Based on the present results for the adjoint problem, it is suggested that Tollmien's original treatment of the viscous corrections must be slightly modified.},
  file = {C\:\\Users\\yalcin\\Zotero\\storage\\HSVILJGC\\Hughes and Reid - 1965 - On the stability of the asymptotic suction boundar.pdf},
  journal = {J. Fluid Mech.},
  language = {en},
  number = {4}
}

@article{Baldwin1970,
  title = {The Stability of the Asymptotic Suction Boundary Layer Profile},
  author = {Baldwin, P.},
  year = {1970},
  month = dec,
  volume = {17},
  pages = {206--242},
  issn = {0025-5793, 2041-7942},
  doi = {10.1112/S0025579300002904},
  abstract = {The stability equation of the asymptotic suction boundary layer profile, using a linear stability analysis, is transformed into a generalised hypergeometric equation. The solution of the stability problem may thus be written formally in terms of the relevant generalised hypergeometric functions. An asymptotic analysis is carried out on these functions for large values of the Reynolds number, and the asymptotic representation of the solutions shown to agree with that given by the usual Orr-Sommerfeld analysis.},
  file = {C\:\\Users\\yalcin\\Zotero\\storage\\ML9F4ZXZ\\Baldwin - 1970 - The stability of the asymptotic suction boundary l.pdf},
  journal = {Mathematika},
  language = {en},
  number = {2}
}

@article{Hocking1975,
  title = {Non-Linear Instability of the Asymptotic Suction Velocity Profile},
  author = {Hocking, L. M.},
  year = {1975},
  volume = {28},
  pages = {341--353},
  issn = {0033-5614, 1464-3855},
  doi = {10.1093/qjmam/28.3.341},
  abstract = {The velocity profile for fluid moving parallel to a fixed plate with uniform suction has a boundary-layer character, except that there is no variation of the flow in the direction parallel to the plate. If a small, centred disturbance is made to the flow, at a Reynolds number which is slightly super-critical, the disturbance evolves into a wave-packet, whose amplitude satisfies a non-linear Schrfldinger equation. This equation is determined by using methods introduced for plane parallel-flow problems by Stewartson and Stuart (1), but with the additional features of a cross-flow velocity in the undisturbed motion, and an unbounded flow region normal to the bounding plate. The coefficients in the equation are determined numerically. It is shown that both line- and point-centred initial disturbances develop into localized bursts in a finite time.},
  file = {C\:\\Users\\yalcin\\Zotero\\storage\\GJGLC5YC\\Hocking - 1975 - NON-LINEAR INSTABILITY OF THE ASYMPTOTIC SUCTION V.pdf;C\:\\Users\\yalcin\\Zotero\\storage\\N9LST4C2\\Nold and Oberlack - 2013 - Symmetry analysis in linear hydrodynamic stability.pdf;C\:\\Users\\yalcin\\Zotero\\storage\\TSFQSTQP\\Nold et al. - 2015 - On new stability modes of plane canonical shear fl.pdf},
  journal = {Q J Mechanics Appl Math},
  language = {en},
  number = {3}
}

@article{Stewartson1971,
  title = {A non-linear instability theory for a wave system in plane Poiseuille flow},
  author = {Stewartson, K. and Stuart, J. T.},
  year = {1971},
  volume = {48.3},
  pages = {529--545},
  journal = {J. Fluid Mech.},
  language = {en}
  }

@article{ries2018b,
  author          = {Florian Ries and Yongxiang Li and Dario Simon Klingenberg  and
                  Kaushal Nishad  and Johannes Janicka  and Amsini Sadiki},
  title           = {Near-Wall Thermal Processes in an Inclined Impinging Jet:
                  Analysis of Heat Transport and Entropy Generation Mechanisms},
  journal         = {Energies},
  volume          = 11,
  number          = 6,
  pages           = 1354,
  year            = 2018,
  doi             = {10.3390/en11061354},
  url             = {http://dx.doi.org/10.3390/en11061354},
  DATE_ADDED      = {Wed Apr 13 11:54:11 2022}
}

@article{ries2018,
  author          = {Ries, Florian  and Li, Yongxiang  and Ri{\ss}mann, Martin  and
                  Klingenberg, Dario Simon and Nishad, Kaushal  and B{\"o}hm, Benjamin and
                  Dreizler, Andreas  and Janicka, Johannes  and Sadiki, Amsini },
  title           = {Database of Near-Wall Turbulent Flow Properties of a Jet
                  Impinging on a Solid Surface Under Different Inclination
                  Angles},
  journal         = {Fluids},
  volume          = 3,
  number          = 1,
  pages           = 5,
  year            = 2018,
  doi             = {10.3390/fluids3010005},
  url             = {http://dx.doi.org/10.3390/fluids3010005},
  DATE_ADDED      = {Wed Apr 13 11:54:38 2022}
}


@inbook{klingenberg2019,
  DATE_ADDED      = {Wed Apr 13 11:55:57 2022},
  author          = {Dario Simon Klingenberg and Martin Oberlack and Dominik
                  Pluemacher},
  booktitle       = {Springer Proceedings in Physics},
  doi             = {10.1007/978-3-030-22196-6_5},
  pages           = {27-32},
  publisher       = {Springer International Publishing},
  series          = {Springer Proceedings in Physics},
  title           = {Symmetry-Based Turbulence Modeling},
  url             = {http://dx.doi.org/10.1007/978-3-030-22196-6_5},
  year            = 2019,
}

@phdthesis{klingenberg2022b,
    Type                    = {Dissertation},
    Title                   = {Development of novel Reynolds-averaged Navier--Stokes turbulence models based on Lie symmetry constraints},
    Author                  = {Klingenberg, Dario Simon},
    School                  = {Technical University of Darmstadt},
    Year                    = {2022}
}

@Thesis{klingenberg2014,
  author={Dario Klingenberg},
  title           = {Numerical Investigation of the Ice Accretion on Warm Aircraft Engine Parts},
  type            = {Bachelor's Thesis},
  institution     = {Technical University Darmstadt},
  date            = {2014}
}

@Thesis{klingenberg2017,
  author={Dario Klingenberg},
  title           = {Statistical One-Point Turbulence Modelling Using Symmetries},
  type            = {Master's Thesis},
  institution     = {Technical University Darmstadt},
  date            = {2017}
}

@article{rayleigh1880,
  author = {John William Rayleigh},
  title = {On the Stability, or Instability, of certain Fluid Motions},
  DATE_ADDED      = {Mon Dec 19 15:55:50 2022},
  journal = {Proceedings of the London Mathematical Society},
  year = {1880},
  volume = {s1-11},
  number = {1},
  pages = {57-72},
  doi = {10.1112/plms/s1-11.1.57},
  url = {http://dx.doi.org/10.1112/plms/s1-11.1.57}
}

@article{rayleigh1887,
  author = {John William Rayleigh},
  title = {On the Stability or Instability of certain Fluid Motions, II},
  DATE_ADDED      = {Mon Dec 19 15:56:33 2022},
  journal = {Proceedings of the London Mathematical Society},
  year = {1887},
  volume = {s1-19},
  number = {1},
  pages = {67-75},
  doi = {10.1112/plms/s1-19.1.67},
  url = {http://dx.doi.org/10.1112/plms/s1-19.1.67}
}

@article{butler1993,
  author = {Kathryn M. Butler and Brian F. Farrell},
  title = {Optimal perturbations and streak spacing in wall‐bounded turbulent shear flow},
  journal = {Physics of Fluids A: Fluid Dynamics},
  year = {1993},
  volume = {5},
  number = {3},
  pages = {774-777},
  doi = {10.1063/1.858663},
  url = {http://dx.doi.org/10.1063/1.858663}
}

@article{wallace2011,
  author = {James M. Wallace},
  title = {Highlights from 50 years of turbulent boundary layer research},
  journal = {Journal of Turbulence},
  year = {2012},
  volume = {13},
  pages = {N53},
  doi = {10.1080/14685248.2012.738907},
  url = {http://dx.doi.org/10.1080/14685248.2012.738907}
}

@article{kerswell2018,
author = {Kerswell, R.R.},
title = {Nonlinear Nonmodal Stability Theory},
journal = {Annual Review of Fluid Mechanics},
volume = {50},
number = {1},
pages = {319-345},
year = {2018},
doi = {10.1146/annurev-fluid-122316-045042},
URL = {https://doi.org/10.1146/annurev-fluid-122316-045042},
eprint = {https://doi.org/10.1146/annurev-fluid-122316-045042}
}

@article{moser1998,
  author = {Robert D. Moser and John Kim and Nagi N. Mansour},
  title = {Direct numerical simulation of turbulent channel flow up to Reτ=590},
  DATE_ADDED      = {Tue Jan 31 16:36:39 2023},
  journal = {Physics of Fluids},
  year = {1999},
  volume = {11},
  number = {4},
  pages = {943-945},
  doi = {10.1063/1.869966},
  url = {http://dx.doi.org/10.1063/1.869966}
}

@article{cahn1958,
  author = {John W. Cahn and John E. Hilliard},
  title = {Free Energy of a Nonuniform System. I. Interfacial Free Energy},
  journal = {The Journal of Chemical Physics},
  year = {1958},
  volume = {28},
  number = {2},
  pages = {258-267},
  doi = {10.1063/1.1744102},
  url = {http://dx.doi.org/10.1063/1.1744102}
  }

@article{moser1999,
author = {Moser,Robert D. and Kim,John  and Mansour,Nagi N.},
title = {Direct numerical simulation of turbulent channel flow up to $Re_{\tau}=590$},
journal = {Physics of Fluids},
volume = {11},
number = {4},
pages = {943-945},
year = {1999},
doi = {10.1063/1.869966},
URL = {https://doi.org/10.1063/1.869966},
eprint = {https://doi.org/10.1063/1.869966}
}

@article{jovanovic2005,
  author = {Mihailo R. Jovanović and Bassam Bamieh},
  title = {Componentwise energy amplification in channel flows},
  journal = {Journal of Fluid Mechanics},
  year = {2005},
  volume = {534},
  pages = {145-183},
  doi = {10.1017/s0022112005004295},
  url = {http://dx.doi.org/10.1017/S0022112005004295}
}

@article{chernyshenko2005,
  author = {S. I. Chernyshenko and M. F. Baig},
  title = {The mechanism of streak formation in near-wall turbulence},
  DATE_ADDED      = {Wed Feb  1 16:56:20 2023},
  journal = {Journal of Fluid Mechanics},
  year = {2005},
  volume = {544},
  pages = {99},
  doi = {10.1017/s0022112005006506},
  url = {http://dx.doi.org/10.1017/S0022112005006506}
}

@article{hwang2010,
  author = {Yongyun Hwang and Carlo Cossu},
  title = {Amplification of coherent streaks in the turbulent Couette flow: an input–output analysis at low Reynolds number},
  journal = {Journal of Fluid Mechanics},
  year = {2010},
  volume = {643},
  pages = {333-348},
  doi = {10.1017/s0022112009992151},
  url = {http://dx.doi.org/10.1017/s0022112009992151}
}

@article{mckeon2010,
  author = {B. J. McKeon and A. S. Sharma},
  title = {A critical-layer framework for turbulent pipe flow},
  DATE_ADDED      = {Wed Feb  1 17:00:55 2023},
  journal = {Journal of Fluid Mechanics},
  year = {2010},
  volume = {658},
  pages = {336-382},
  doi = {10.1017/s002211201000176x},
  url = {http://dx.doi.org/10.1017/S002211201000176X}
}

@article{moarref2012,
  author = {Rashad Moarref and Mihailo R. Jovanović},
  title = {Model-based design of transverse wall oscillations for turbulent drag reduction},
  DATE_ADDED      = {Wed Feb  1 17:02:23 2023},
  journal = {Journal of Fluid Mechanics},
  year = {2012},
  volume = {707},
  pages = {205-240},
  doi = {10.1017/jfm.2012.272},
  url = {http://dx.doi.org/10.1017/jfm.2012.272}
}

@article{blebois2013,
  author = {Olivier Blesbois and Sergei I. Chernyshenko and Emile Touber and Michael A. Leschziner},
  title = {Pattern prediction by linear analysis of turbulent flow with drag reduction by wall oscillation},
  DATE_ADDED      = {Wed Feb  1 17:03:15 2023},
  journal = {Journal of Fluid Mechanics},
  year = {2013},
  volume = {724},
  pages = {607-641},
  doi = {10.1017/jfm.2013.165},
  url = {http://dx.doi.org/10.1017/jfm.2013.165}
}

@article{sharma2013,
  author = {A. S. Sharma and B. J. McKeon},
  title = {On coherent structure in wall turbulence},
  DATE_ADDED      = {Wed Feb  1 17:04:19 2023},
  journal = {Journal of Fluid Mechanics},
  year = {2013},
  volume = {728},
  pages = {196-238},
  doi = {10.1017/jfm.2013.286},
  url = {http://dx.doi.org/10.1017/jfm.2013.286}
}

@article{schmidt2018,
  author = {Oliver T. Schmidt and Aaron Towne and Georgios Rigas and Tim Colonius and Guillaume A. Bres},
  title = {Spectral analysis of jet turbulence},
  DATE_ADDED      = {Wed Feb  1 17:05:37 2023},
  journal = {Journal of Fluid Mechanics},
  year = {2018},
  volume = {855},
  pages = {953-982},
  doi = {10.1017/jfm.2018.675},
  url = {http://dx.doi.org/10.1017/jfm.2018.675}
}

@article{kerswell2022b,
  author = {Vilda K. Markeviciute and Rich R. Kerswell},
  title = {Improved assessment of the statistical stability of turbulent flows using extended Orr–Sommerfeld stability analysis},
  journal = {Journal of Fluid Mechanics},
  year = {2023},
  volume = {955},
  pages = {A1},
  doi = {10.1017/jfm.2022.963},
  url = {http://dx.doi.org/10.1017/jfm.2022.963}
}

@inproceedings{loulou1997,
  title={Direct Numerical Simulation of Incompressible Pipe Flow Using a B-Spline Spectral Method},
  author={Patrick Loulou and Robert D. Moser and Nagi N. Mansour and Brian J. Cantwell},
  journal={NASA Technical Memorandum},
  volume={110436},
  year={1997}
}

@article{klingenberg2022,
  author = {Dario Klingenberg and Martin Oberlack},
  title = {Statistically invariant eddy viscosity models},
  journal = {Physics of Fluids},
  year = {2022},
  volume = {34},
  number = {5},
  pages = {055114},
  doi = {10.1063/5.0090988},
  url = {http://dx.doi.org/10.1063/5.0090988},
}

@article{cai2016,
  author = {Xuan Cai},
  title = {Interface-Resolving Simulations of Gas-Liquid Two-Phase Flows in Solid Structures of Different Wettability},
  journal = {Karlsruhe},
  year = {2016},
  doi = {10.5445/IR/1000065827},
  url = {https://publikationen.bibliothek.kit.edu/1000065827},
}

@article{taylor1934,
  author = {G. I. Taylor},
  title = {The formation of emulsions in definable fields of flow},
  journal = {Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character},
  year = {1934},
  volume = {146},
  number = {858},
  pages = {501-523},
  doi = {10.1098/rspa.1934.0169},
  url = {http://dx.doi.org/10.1098/rspa.1934.0169},
}

@inproceedings{xu2017,
author = {Xu, Liyang and Tang, Yuhua and Xu, Xinhai and Feng, Yongquan and Guo, Yunrui},
title = {A High Order Discontinuous Galerkin Method Based RANS Turbulence Framework for OpenFOAM},
year = {2017},
isbn = {9781450353489},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
url = {https://doi.org/10.1145/3158233.3159368},
doi = {10.1145/3158233.3159368},
abstract = {Discontinuous Galerkin is one of the most promising high order method in CFD. However, there is a surprising lack of user-friendly software based on DGM. HopeFOAM is a high order extension of OpenFOAM. This paper designed a high order discontinuous Galerkin method based RANS turbulence framework on HopeFOAM, by inheriting the principle and user interfaces. The one equation turbulence model Spalart-Allmaras is integrated into the framework. User-friendly interfaces are provided to configure turbulence parameters and choosing calculation methods. The turbulence model and wall distance calculation are discretized by high order DGM. Results show that this framework can achieve similar simulation results comparing to literature.},
booktitle = {Proceedings of the 2017 2nd International Conference on Communication and Information Systems},
pages = {404–408},
numpages = {5},
keywords = {Discontinuous Galerkin Method, OpenFOAM, Spalart-Allmaras, High order Method, RANS turbulence model},
location = {Wuhan, China},
series = {ICCIS 2017}
}

@Article{nektarpp2015,
author  = {Cantwell, C. D. and Moxey, D. and Comerford, A. and Bolis,
A. and Rocco, G. and Mengaldo, G. and De Grazia, D. and
Yakovlev, S. and Lombard, J-E. and Ekelschot, D. and Jordi,
B. and Xu, H. and Mohamied, Y. and Eskilsson, C. and
Nelson, B. and Vos, P. and Biotto, C. and Kirby, R. M. and
Sherwin, S. J.},
journal  = {COMPUTER PHYSICS COMMUNICATIONS},
month = {Jul},
pages = {205--219},
publisher  = {ELSEVIER SCIENCE BV},
title = {Nektar plus plus : An open-source spectral/hp element
framework},
url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000354141100020\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
volume  = {192},
year = {2015},
doi = {10.1016/j.cpc.2015.02.008},
issn = {0010-4655},
keyword  = {SYSTEM},
language  = {English},
day = {1},
publicationstatus={published},
groups  = {core}
}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% dune
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@article{dune24:16,
  author = {M. Blatt and A. Burchardt and A. Dedner and Ch. Engwer
    and J. Fahlke and B. Flemisch and Ch. Gersbacher and C. Gr\"aser
    and F. Gruber and Ch. Gr\"uninger and D. Kempf and R. Kl{\"o}fkorn
    and T. Malkmus and S. Müthing and M. Nolte and M. Piatkowski and O. Sander},
  title = {{The Distributed and Unified Numerics Environment, Version 2.4}},
  journal = {Archive of Numerical Software},
  volume = {4},
  number = {100},
  year = {2016},
  keywords = {DUNE, Numerical Software},
  issn = {2197-8263},
  pages = {13--29},
  doi = {10.11588/ans.2016.100.26526},
  url = {http://dx.doi.org/10.11588/ans.2016.100.26526}
}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% dune-grid
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{dunepaperII:08,
  author = {Bastian, P. and Blatt, M. and Dedner, A. and Engwer, C. and Kl{\"o}fkorn, R. and Kornhuber, R. and Ohlberger, M. and Sander, O.},
  title = {{A Generic Grid Interface for Parallel and Adaptive Scientific Computing.
  Part {II}: Implementation and Tests in {DUNE}}},
  journal = {Computing},
  year = {2008},
  volume = {82},
  pages = {121--138},
  number = {2--3},
  doi = {10.1007/s00607-008-0004-9},
  url = {http://dx.doi.org/10.1007/s00607-008-0004-9},
  pdf ={http://www.matheon.de/preprints/4558_gridpaper_part2.pdf}
}

@ARTICLE{dunepaperI:08,
  author = {Bastian, P. and Blatt, M. and Dedner, A. and Engwer, C. and Kl{\"o}fkorn, R. and Ohlberger, M. and Sander, O.},
  title = {{A Generic Grid Interface for Parallel and Adaptive Scientific Computing.
  Part {I}: Abstract Framework}},
  journal = {Computing},
  year = {2008},
  volume = {82},
  pages = {103--119},
  number = {2--3},
  doi = {10.1007/s00607-008-0003-x},
  url = {http://dx.doi.org/10.1007/s00607-008-0003-x},
  pdf ={http://www.matheon.de/preprints/4556_gridpaper_part1.pdf}
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% dune-istl
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@INPROCEEDINGS{dune-istl,
  author = {Blatt, M. and Bastian, P.},
  title = {The Iterative Solver Template Library},
  booktitle = {Applied Parallel Computing -- State of the Art in Scientific Computing},
  year = {2007},
  editor = {Kagstr\"om, B. and Elmroth, E. and Dongarra, J. and Wasniewski, J.},
  pages = {666-675},
  address = {Berlin/Heidelberg},
  publisher = {Springer}
}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% dune-fem
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{dune:Fem,
  author = {Dedner, A. and Kl{\"o}fkorn, R. and Nolte, M. and Ohlberger, M.},
  title = {{A Generic Interface for Parallel and Adaptive Scientific Computing:
  Abstraction Principles and the DUNE-FEM Module}},
  journal = {Computing},
  year = {2010},
  volume = {90},
  pages = {165--196},
  number = {3--4},
  doi={10.1007/s00607-010-0110-3},
  url={http://dx.doi.org/10.1007/s00607-010-0110-3},
  pdf ={http://aam.mathematik.uni-freiburg.de/IAM/homepages/robertk/postscript/dkno_dunefempreprint.pdf}
}


@article{dunefemdg:17,
  author = {Dedner, A. and Girke, S. and Kl{\"o}fkorn, R. and Malkmus, T.},
  title = {{The DUNE-FEM-DG module}},
  journal = {Archive of Numerical Software},
  volume = {5},
  number = {1},
  year = {2017},
  keywords = {Numerical Software, Dune, Discontinuous Galerkin Schemes, Hyperbolic problems, Elliptic problems, Parabolic problems, Euler, Navier-Stokes, Advection-Diffusion, Stokes, Poisson},
  issn = {2197-8263}, pages = {21--61},
  doi = {10.11588/ans.2017.1.28602},
  url = {http://journals.ub.uni-heidelberg.de/index.php/ans/article/view/28602}
}

@article{twophase:18,
title = {{Python framework for hp-adaptive discontinuous Galerkin methods for two-phase flow in porous media}},
journal = "Applied Mathematical Modelling",
volume = "67",
pages = "179 - 200",
year = "2019",
doi = "10.1016/j.apm.2018.10.013",
url = "http://www.sciencedirect.com/science/article/pii/S0307904X18305043",
author = "Dedner, A. and Kane, B. and Kl{\"o}fkorn, R. and Nolte, M."
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% dune-pdelab
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@article{dune:pdelab,
  title={{Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE)}},
  author={Bastian, P. and Heimann, F. and Marnach, S.},
  journal={Kybernetika},
  year={2010},
  volume={46},
  pages={294-315}
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% dune-alugrid
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@article{alugrid:16,
  author = {Alk{\"a}mper, M. and Dedner, A. and Kl{\"o}fkorn, R. and Nolte, M.},
  title = {{The DUNE-ALUGrid Module.}},
  journal = {Archive of Numerical Software},
  volume = {4},
  number = {1},
  year = {2016},
  keywords = {Numerical software, Adaptive-parallel grid, Load Balancing, DUNE},
  issn = {2197-8263},
  pages = {1--28},
  doi = {10.11588/ans.2016.1.23252},
  url = {http://dx.doi.org/10.11588/ans.2016.1.23252}
}


@article{weakcomp:17,
author = {Alk\"amper, M. and Gaspoz, F. and Kl{\"o}fkorn, R.},
title = {{A Weak Compatibility Condition for Newest Vertex Bisection in Any Dimension}},
journal = {SIAM Journal on Scientific Computing},
volume = {40},
number = {6},
pages = {A3853-A3872},
year = {2018},
doi = {10.1137/17M1156137}
}



@article{dnvb:16,
author    = {Alk{\"{a}}mper, M. and  Kl{\"o}fkorn, R.},
title = "Distributed Newest Vertex Bisection",
journal = "Journal of Parallel and Distributed Computing",
volume = "104",
number = "",
pages = "1 - 11",
year = "2017",
note = "",
issn = "0743-7315",
doi = "10.1016/j.jpdc.2016.12.003",
url = "http://dx.doi.org/10.1016/j.jpdc.2016.12.003"
}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% dune proceedings
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@BOOK{dum:11,
  author = {Dedner, A. and Flemisch, B. and Kl{\"o}fkorn, R.},
  title = {{Advances in DUNE}},
  publisher = {Springer},
  year = {2012},
  url={http://dx.doi.org/10.1007/978-3-642-28589-9},
  doi={10.1007/978-3-642-28589-9}
}

@inproceedings{dumproc:11,
year={2012},
isbn={978-3-642-28588-2},
booktitle={Advances in DUNE},
editor={Dedner, A. and Flemisch, B. and Kl{\"o}fkorn, R.},
url={http://dx.doi.org/10.1007/978-3-642-28589-9_2},
doi={10.1007/978-3-642-28589-9\_2},
title={DUNE-FEM: A General Purpose Discretization Toolbox for Parallel and Adaptive Scientific Computing},
publisher={Springer Berlin Heidelberg},
author={Dedner, A. and Kl{\"o}fkorn, R. and Nolte, M. and Ohlberger, M.},
pages={17-31}
}


@inproceedings{perf:11,
year={2012},
isbn={978-3-642-28588-2},
booktitle={Advances in DUNE},
editor={Dedner, A. and Flemisch, B. and Kl{\"o}fkorn, R.},
doi={10.1007/978-3-642-28589-9\_4},
url={http://dx.doi.org/10.1007/978-3-642-28589-9_4},
title={Performance Pitfalls in the Dune Grid Interface},
publisher={Springer Berlin Heidelberg},
author={Kl{\"o}fkorn, R. and Nolte, M.},
pages={45-58}
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% other dune related publications
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


@inproceedings{dune:06,
  author = {Bastian, P. and Blatt, M. and Dedner, A. and Engwer, Ch. and Kl{\"o}fkorn, R. and Kuttanikkad, S.P.
        and {Ohl\-ber\-ger}, M. and Sander, O.},
  title = {{The Distributed and Unified Numerics Environment (DUNE)}},
  booktitle = {Proc. of the 19th Symposium on Simulation Technique in Hannover, Sep. 12 - 14},
  year = {2006}
}

@incollection {bddko:06,
   author = {Burri, A. and Dedner, A. and Diehl, D. and Kl{\"o}fkorn, R. and Ohlberger, M.},
   title = {A general object oriented framework for discretizing non-linear evolution equations},
   booktitle = {Advances in High Performance Computing and Computational Sciences},
   editor = {Y. Shokin et al.},
   publisher = {Springer},
   pages = {69-87},
   volume = {93},
   year = {2006},
   url={http://dx.doi.org/10.1007/978-3-540-33844-4_7},
   doi={10.1007/978-3-540-33844-4\_7}
}

@incollection{dunepara:05,
   author = {Burri, A. and Dedner, A. and Kl{\"o}fkorn, R. and Ohlberger, M.},
   title = {An efficient implementation of an adaptive and parallel grid in DUNE},
   booktitle = {Computational Science and High Performance Computing II},
   editor = {E. Krause et al.},
   publisher = {Springer},
   pages = {67-82},
   volume = {91},
   year = {2006},
   url={http://dx.doi.org/10.1007/3-540-31768-6_7},
   doi={10.1007/3-540-31768-6\_7}
}

@inproceedings{dune:04,
  author = {Bastian, P. and Droske, M. and Engwer, Ch. and Kl{\"o}fkorn, R. and Neubauer, T.
            and {Ohl\-ber\-ger}, M. and Rumpf, M.},
  title = {Towards a Unified Framework for Scientific Computing},
  booktitle = {Domain Decomposition Methods in Science and Engineering},
  year = {2005},
  editor = {T. Barth et al.},
  number = {40},
  series = {LNCSE},
  pages = {167-174},
  publisher = {Springer},
  doi={10.1007/3-540-26825-1\_13},
  url={http://dx.doi.org/10.1007/3-540-26825-1_13}
}

@article{dealII94,
  title     = {The \texttt{deal.II} Library, Version 9.4},
  author    = {Daniel Arndt and Wolfgang Bangerth and Marco Feder and
               Marc Fehling and Rene Gassm{\"o}ller and Timo Heister
               and Luca Heltai and Martin Kronbichler and
	       Matthias Maier and Peter Munch and Jean-Paul Pelteret
	       and Simon Sticko and Bruno Turcksin and David Wells},
  journal   = {Journal of Numerical Mathematics},
  doi       = {10.1515/jnma-2022-0054},
  year      = {2022},
  volume    = {30},
  number    = {3},
  pages     = {231-246},
  url       = {https://dealii.org/deal94-preprint.pdf}
}

@software{nek5000,
  author = {{Argonne National Laboratory, Illinois}},
  title = {NEK5000},
  url = {https://nek5000.mcs.anl.gov},
}

@article{arnold1982,
author = {Arnold, Douglas N.},
title = {An Interior Penalty Finite Element Method with Discontinuous Elements},
journal = {SIAM Journal on Numerical Analysis},
volume = {19},
number = {4},
pages = {742-760},
year = {1982},
doi = {10.1137/0719052},
URL = {https://doi.org/10.1137/0719052},
eprint = {https://doi.org/10.1137/0719052}
}

@article{arnold2002,
  title={Unified analysis of discontinuous Galerkin methods for elliptic problems},
  author={Arnold, Douglas N and Brezzi, Franco and Cockburn, Bernardo and Marini, L Donatella},
  journal={SIAM journal on numerical analysis},
  volume={39},
  number={5},
  pages={1749--1779},
  year={2002},
  publisher={SIAM}
}

@misc{klingenberg_foam-dg_2023,
    title = {foam-dg},
    copyright = {Open Access},
    url = {https://zenodo.org/record/8386724},
    abstract = {Release for the Paper: Coupling OpenFOAM with BoSSS, a discontinuous Galerkin solver written in C\# by Klingenberg, Jasak, Marschall, Kummer 2023},
    urldate = {2023-09-28},
    publisher = {Zenodo},
    author = {Klingenberg, Dario and Jasak, Hrvoje and Marschall, Holger and Kummer, Florian},
    month = sep,
    year = {2023},
    doi = {10.5281/ZENODO.8386724},
    annote = {Other If you use this software, please cite it using the metadata from this file.},
}

@software{jax2018github,
  author = {James Bradbury and Roy Frostig and Peter Hawkins and Matthew James Johnson and Chris Leary and Dougal Maclaurin and George Necula and Adam Paszke and Jake Vander{P}las and Skye Wanderman-{M}ilne and Qiao Zhang},
  title = {{JAX}: composable transformations of {P}ython+{N}um{P}y programs},
  url = {http://github.com/google/jax},
  version = {0.3.13},
  year = {2018},
}

@article{kim1987,
  author = {John Kim and Parviz Moin and Robert Moser},
  title = {Turbulence statistics in fully developed channel flow at low Reynolds number},
  DATE_ADDED      = {Tue Aug 20 09:55:58 2024},
  journal = {Journal of Fluid Mechanics},
  year = {1987},
  volume = {177},
  number = {nil},
  pages = {133-166},
  doi = {10.1017/s0022112087000892},
  url = {http://dx.doi.org/10.1017/S0022112087000892},
}

@Article{spalart1991,
  author          = {Spalart, Philippe R and Moser, Robert D and Rogers, Michael
                  M},
  title           = {Spectral methods for the Navier-Stokes equations with one
                  infinite and two periodic directions},
  journal         = {Journal of Computational Physics},
  year            = 1991,
  volume          = 96,
  number          = 2,
  month           = oct,
  pages           = {297–324},
  issn            = {0021-9991},
  doi             = {10.1016/0021-9991(91)90238-g},
  url             = {http://dx.doi.org/10.1016/0021-9991(91)90238-G},
  publisher       = {Elsevier BV}
}

@Article{hoyas2021,
  author          = {Lluesma-Rodríguez, Federico and Álcantara-Ávila, Francisco
                  and Pérez-Quiles, María Jezabel and Hoyas, Sergio},
  title           = {A Code for Simulating Heat Transfer in Turbulent Channel
                  Flow},
  journal         = {Mathematics},
  year            = 2021,
  volume          = 9,
  number          = 7,
  month           = apr,
  pages           = 756,
  issn            = {2227-7390},
  doi             = {10.3390/math9070756},
  url             = {http://dx.doi.org/10.3390/math9070756},
  publisher       = {MDPI AG}
}

@Article{farano2017,
  author          = {Farano, Mirko and Cherubini, Stefania and Robinet,
                  Jean-Christophe and De Palma, Pietro},
  title           = {Optimal bursts in turbulent channel flow},
  journal         = {Journal of Fluid Mechanics},
  year            = 2017,
  volume          = 817,
  month           = mar,
  pages           = {35–60},
  issn            = {1469-7645},
  doi             = {10.1017/jfm.2017.107},
  url             = {http://dx.doi.org/10.1017/jfm.2017.107},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{cherubini2011,
  author          = {Cherubini, S. and De Palma, P. and Robinet, J.-C. and
                  Bottaro, A.},
  title           = {The minimal seed of turbulent transition in the boundary
                  layer},
  journal         = {Journal of Fluid Mechanics},
  year            = 2011,
  volume          = 689,
  month           = nov,
  pages           = {221–253},
  issn            = {1469-7645},
  doi             = {10.1017/jfm.2011.412},
  url             = {http://dx.doi.org/10.1017/jfm.2011.412},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{kerswell2010,
  author          = {Pringle, Chris C. T. and Kerswell, Rich R.},
  title           = {Using Nonlinear Transient Growth to Construct the Minimal
                  Seed for Shear Flow Turbulence},
  journal         = {Physical Review Letters},
  year            = 2010,
  volume          = 105,
  number          = 15,
  month           = oct,
  issn            = {1079-7114},
  doi             = {10.1103/physrevlett.105.154502},
  url             = {http://dx.doi.org/10.1103/PhysRevLett.105.154502},
  publisher       = {American Physical Society (APS)}
}

@Article{farrell1988,
  author          = {Farrell, Brian F.},
  title           = {Optimal excitation of perturbations in viscous shear flow},
  journal         = {The Physics of Fluids},
  year            = 1988,
  volume          = 31,
  number          = 8,
  month           = aug,
  pages           = {2093–2102},
  issn            = {0031-9171},
  doi             = {10.1063/1.866609},
  url             = {http://dx.doi.org/10.1063/1.866609},
  publisher       = {AIP Publishing}
}

@TechReport{gibson2014,
    author = "J. F. Gibson",
    title = "{Channelflow}: {A} spectral {Navier-Stokes} simulator in {C}++",
    publisher = "J. F. Gibson",
        institution =  "U. New Hampshire",
    year = "2014",
    note = "{\tt {Channelflow.org}}",
}

@book{nocedal2000,
  title={Numerical Optimization},
  author={Nocedal, J. and Wright, S.},
  isbn={9780387987934},
  lccn={99013263},
  series={Springer Series in Operations Research and Financial Engineering},
  url={https://books.google.co.uk/books?id=epc5fX0lqRIC},
  year={2000},
  publisher={Springer New York}
}

@Article{truong2020,
  author          = {Truong, Tuyen Trung and Nguyen, Hang-Tuan},
  title           = {Backtracking Gradient Descent Method and Some Applications in Large Scale Optimisation. Part 2: Algorithms and Experiments},
  journal         = {Applied Mathematics \& Optimization},
  year            = 2020,
  volume          = 84,
  number          = 3,
  month           = sep,
  pages           = {2557–2586},
  issn            = {1432-0606},
  doi             = {10.1007/s00245-020-09718-8},
  url             = {http://dx.doi.org/10.1007/s00245-020-09718-8},
  publisher       = {Springer Science and Business Media LLC}
}

@Article{orszag1972,
  author          = {Orszag, Steven A. and Patterson, G. S.},
  title           = {Numerical Simulation of Three-Dimensional Homogeneous
                  Isotropic Turbulence},
  journal         = {Physical Review Letters},
  year            = 1972,
  volume          = 28,
  number          = 2,
  month           = jan,
  pages           = {76–79},
  issn            = {0031-9007},
  doi             = {10.1103/physrevlett.28.76},
  url             = {http://dx.doi.org/10.1103/PhysRevLett.28.76},
  publisher       = {American Physical Society (APS)}
}

@Article{hoepffner2005,
  author          = {Hœpffner, Jérôme and Brandt, Luca and Henningson, Dan S.},
  title           = {Transient growth on boundary layer streaks},
  journal         = {Journal of Fluid Mechanics},
  year            = 2005,
  volume          = 537,
  number          = 1,
  month           = aug,
  pages           = 91,
  issn            = {1469-7645},
  doi             = {10.1017/s0022112005005203},
  url             = {http://dx.doi.org/10.1017/S0022112005005203},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{kim1971,
  author          = {Kim, H. T. and Kline, S. J. and Reynolds, W. C.},
  title           = {The production of turbulence near a smooth wall in a
                  turbulent boundary layer},
  journal         = {Journal of Fluid Mechanics},
  year            = 1971,
  volume          = 50,
  number          = 1,
  month           = nov,
  pages           = {133–160},
  issn            = {1469-7645},
  doi             = {10.1017/s0022112071002490},
  url             = {http://dx.doi.org/10.1017/S0022112071002490},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{jimenez1991,
  author          = {Jiménez, Javier and Moin, Parviz},
  title           = {The minimal flow unit in near-wall turbulence},
  journal         = {Journal of Fluid Mechanics},
  year            = 1991,
  volume          = 225,
  month           = apr,
  pages           = {213–240},
  issn            = {1469-7645},
  doi             = {10.1017/s0022112091002033},
  url             = {http://dx.doi.org/10.1017/S0022112091002033},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{hamilton1995,
  author          = {Hamilton, James M. and Kim, John and Waleffe, Fabian},
  title           = {Regeneration mechanisms of near-wall turbulence structures},
  journal         = {Journal of Fluid Mechanics},
  year            = 1995,
  volume          = 287,
  month           = mar,
  pages           = {317–348},
  issn            = {1469-7645},
  doi             = {10.1017/s0022112095000978},
  url             = {http://dx.doi.org/10.1017/S0022112095000978},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{waleffe1997,
  author          = {Waleffe, Fabian},
  title           = {On a self-sustaining process in shear flows},
  journal         = {Physics of Fluids},
  year            = 1997,
  volume          = 9,
  number          = 4,
  month           = apr,
  pages           = {883–900},
  issn            = {1089-7666},
  doi             = {10.1063/1.869185},
  url             = {http://dx.doi.org/10.1063/1.869185},
  publisher       = {AIP Publishing}
}

@Article{cherubini2010,
  author          = {Cherubini, S. and De Palma, P. and Robinet, J.-Ch. and
                  Bottaro, A.},
  title           = {Rapid path to transition via nonlinear localized optimal
                  perturbations in a boundary-layer flow},
  journal         = {Physical Review E},
  year            = 2010,
  volume          = 82,
  number          = 6,
  month           = dec,
  issn            = {1550-2376},
  doi             = {10.1103/physreve.82.066302},
  url             = {http://dx.doi.org/10.1103/PhysRevE.82.066302},
  publisher       = {American Physical Society (APS)}
}

@Article{monokrousos2011,
  author          = {Monokrousos, Antonios and Bottaro, Alessandro and Brandt,
                  Luca and Di Vita, Andrea and Henningson, Dan S.},
  title           = {Nonequilibrium Thermodynamics and the Optimal Path to
                  Turbulence in Shear Flows},
  journal         = {Physical Review Letters},
  year            = 2011,
  volume          = 106,
  number          = 13,
  month           = mar,
  issn            = {1079-7114},
  doi             = {10.1103/physrevlett.106.134502},
  url             = {http://dx.doi.org/10.1103/PhysRevLett.106.134502},
  publisher       = {American Physical Society (APS)}
}

@Article{cherubini2013,
  author          = {Cherubini, S. and De Palma, P.},
  title           = {Nonlinear optimal perturbations in a Couette flow: bursting
                  and transition},
  journal         = {Journal of Fluid Mechanics},
  year            = 2013,
  volume          = 716,
  month           = jan,
  pages           = {251–279},
  issn            = {1469-7645},
  doi             = {10.1017/jfm.2012.544},
  url             = {http://dx.doi.org/10.1017/jfm.2012.544},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{degiovanetti2017,
  author          = {de Giovanetti, Matteo and Sung, Hyung Jin and Hwang,
                  Yongyun},
  title           = {Streak instability in turbulent channel flow: the seeding
                  mechanism of large-scale motions},
  journal         = {Journal of Fluid Mechanics},
  year            = 2017,
  volume          = 832,
  month           = oct,
  pages           = {483–513},
  issn            = {1469-7645},
  doi             = {10.1017/jfm.2017.697},
  url             = {http://dx.doi.org/10.1017/jfm.2017.697},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{cassinelli2017,
  author          = {Cassinelli, Andrea and de Giovanetti, Matteo and Hwang,
                  Yongyun},
  title           = {Streak instability in near-wall turbulence revisited},
  journal         = {Journal of Turbulence},
  year            = 2017,
  volume          = 18,
  number          = 5,
  month           = mar,
  pages           = {443–464},
  issn            = {1468-5248},
  doi             = {10.1080/14685248.2017.1294757},
  url             = {http://dx.doi.org/10.1080/14685248.2017.1294757},
  publisher       = {Informa UK Limited}
}

@Article{farrell2012,
  author          = {Farrell, Brian F. and Ioannou, Petros J.},
  title           = {Dynamics of streamwise rolls and streaks in turbulent
                  wall-bounded shear flow},
  journal         = {Journal of Fluid Mechanics},
  year            = 2012,
  volume          = 708,
  month           = aug,
  pages           = {149–196},
  issn            = {1469-7645},
  doi             = {10.1017/jfm.2012.300},
  url             = {http://dx.doi.org/10.1017/jfm.2012.300},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{reddy1998,
  author          = {Reddy, Satish C. and Schmid, Peter J. and Baggett, Jeffrey
                  S. and Henningson, Dan S.},
  title           = {On stability of streamwise streaks and transition
                  thresholds in plane channel flows},
  journal         = {Journal of Fluid Mechanics},
  year            = 1998,
  volume          = 365,
  month           = jun,
  pages           = {269–303},
  issn            = {0022-1120},
  doi             = {10.1017/s0022112098001323},
  url             = {http://dx.doi.org/10.1017/S0022112098001323},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{gatti2018,
  author          = {Gatti, Davide and Cimarelli, Andrea and Hasegawa, Yosuke
                  and Frohnapfel, Bettina and Quadrio, Maurizio},
  title           = {Global energy fluxes in turbulent channels with flow
                  control},
  journal         = {Journal of Fluid Mechanics},
  year            = 2018,
  volume          = 857,
  month           = oct,
  pages           = {345–373},
  issn            = {1469-7645},
  doi             = {10.1017/jfm.2018.749},
  url             = {http://dx.doi.org/10.1017/jfm.2018.749},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{hussain1970,
  author          = {Hussain, A. K. M. F. and Reynolds, W. C.},
  title           = {The mechanics of an organized wave in turbulent shear flow},
  journal         = {Journal of Fluid Mechanics},
  year            = 1970,
  volume          = 41,
  number          = 2,
  month           = apr,
  pages           = {241–258},
  issn            = {1469-7645},
  doi             = {10.1017/s0022112070000605},
  url             = {http://dx.doi.org/10.1017/S0022112070000605},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{gatti2018,
  author          = {Gatti, Davide and Cimarelli, Andrea and Hasegawa, Yosuke
                  and Frohnapfel, Bettina and Quadrio, Maurizio},
  title           = {Global energy fluxes in turbulent channels with flow
                  control},
  journal         = {Journal of Fluid Mechanics},
  year            = 2018,
  volume          = 857,
  month           = oct,
  pages           = {345–373},
  issn            = {1469-7645},
  doi             = {10.1017/jfm.2018.749},
  url             = {http://dx.doi.org/10.1017/jfm.2018.749},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{tuerke2013,
  author          = {Tuerke, Florian and Jiménez, Javier},
  title           = {Simulations of turbulent channels with prescribed velocity
                  profiles},
  journal         = {Journal of Fluid Mechanics},
  year            = 2013,
  volume          = 723,
  month           = apr,
  pages           = {587–603},
  issn            = {1469-7645},
  doi             = {10.1017/jfm.2013.143},
  url             = {http://dx.doi.org/10.1017/jfm.2013.143},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{linot2024,
  author          = {Linot, Alec J. and Schmid, Peter J. and Taira, Kunihiko},
  title           = {On the laminar solutions and stability of accelerating and
                  decelerating channel flows},
  journal         = {Journal of Fluid Mechanics},
  year            = 2024,
  volume          = 999,
  month           = nov,
  issn            = {1469-7645},
  doi             = {10.1017/jfm.2024.709},
  url             = {http://dx.doi.org/10.1017/jfm.2024.709},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{biau2016,
  author          = {Biau, Damien},
  title           = {Transient growth of perturbations in Stokes oscillatory
                  flows},
  journal         = {Journal of Fluid Mechanics},
  year            = 2016,
  volume          = 794,
  month           = apr,
  issn            = {1469-7645},
  doi             = {10.1017/jfm.2016.210},
  url             = {http://dx.doi.org/10.1017/jfm.2016.210},
  publisher       = {Cambridge University Press (CUP)}
}

@Article{frame2024,
  author          = {Frame, Peter and Towne, Aaron},
  title           = {Beyond optimal disturbances: a statistical framework for
                  transient growth},
  journal         = {Journal of Fluid Mechanics},
  year            = 2024,
  volume          = 983,
  month           = mar,
  issn            = {1469-7645},
  doi             = {10.1017/jfm.2024.100},
  url             = {http://dx.doi.org/10.1017/jfm.2024.100},
  publisher       = {Cambridge University Press (CUP)}
}