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optimize_blocked_channels.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Created by Marcus Tan on 1/17/2015
%%% Last modified date: 1/17/2015
%%% Copyright 2015 University of Illinois at Urbana-Champaign. All rights reserved
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% INPUTS:
% channelFiles:
% polygonFile:
% boundsFile_sampleFile:
% boundsFile (*.channels)/sampleFile
% ('*.lhs','*.rand','*.rand1','*.rand2','*.smmp')
% blockedChannelFile:
% file containing information about the sets of blocked channels
% jobNum_sampleNum:
% job num (if > 0 && nSimulations > 0)/sample number (if < 0 && nSimulations == 1)
% directory:
% filePrefix:
% inputFile:
% costFuncType:
% i) P_NORM
% ii) NODAL_T_IN, NODAL_T_OUT or NODAL_T_INOUT
% costFuncNormp
% nlconType:
% i) Pmax
% ii) Pmin
% iii) Tmax
% iv) Amax
% v) Amin
% vi) Vmax
% vii) Vmin
% viii) nodalT
% nlconMinP:
% nlconMaxP:
% nlconMaxTmax:
% nlconMinAorVFrac:
% nlconMaxAorVFrac:
% nlconNodalTbounds: [lower Tin, upper Tin, lower Tout, upper Tout]
% nSimulations
% randomizeFirst: randomize the configuration of the first channel
% mergeTriangles: merge the triangles of the channel network
function optimize_blocked_channels(channelFile,...
polygonFile,...
boundsFile_sampleFile,...
blockedChannelFile,...
jobNum_sampleNum,...
directory,...
filePrefix,...
inputFile,...
costFuncType,...
costFuncNormp,...
nlconType, ...
nlconMinP, ...
nlconMaxP, ...
nlconMaxTmax, ...
nlconMinAorVFrac, ...
nlconMaxAorVFrac, ...
nlconNodalTbounds, ...
nSimulations, ...
randomizeFirst, ...
mergeTriangles)
close all;
format long e;
clc
% global variables used all over the code for outputs only
% VERY IMPORTANT TO REINITIALIZE THESE GLOBAL VARIABLES AFTER EVERY
% SIMULATION !!!!!!!!!!!!!!
global G_history
global G_filePrefix
global G_simDirectory
global G_funcEvalCounter
global G_constraint
global G_out % for output every iteration, avoid using it for calculation
global G_Tmax2TnRatio % for max temperature constraint
%profile on;
% matlabpool close
% matlabpool(6)
path(path, '../nurbs_toolbox')
path(path, '../IGFEM-Curves-2D/M_geom_toolbox')
path(path, '../IGFEM-Curves-2D/M_preFEM')
path(path, '../IGFEM-Curves-2D/M_channels')
path(path, '../IGFEM-Curves-2D/M_FEM')
path(path, '../IGFEM-Curves-2D/mx_FEM')
path(path, '../IGFEM-Curves-2D/M_postprocessing')
path(path, './M_optimization')
path(path, './M_opt_postprocessing')
path(path, './mx_sensitivity')
path(path, '../SISL/mx_SISL')
path(path, '../IGFEM-Curves-2D/ChannelFiles')
path(path, '../IGFEM-Curves-2D/blockedChannelFiles')
path(path, '../IGFEM-Curves-2D/SampleFiles')
path(path, '../IGFEM-Curves-2D/GeomConstrFiles')
path(path, './InputFiles')
%% MESH AND USER INPUT
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Information for generating mesh
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
[mesh,femParams.gauss,...
femParams.tol,...
femParams.refine,...
femParams.otherFlags,~, ...
femParams.moveNode] = read_inputs(inputFile);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Other user inputs
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
mesh.heatSourceFunc = [];
minPolyAngle = 10; % in degrees
minPolyArea = 0.001 * mesh.domainArea;
minSidePolyAngle = 1; % in degrees
minSidePolyArea = 0.001* mesh.domainArea;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% IV) SENSITIVITY ANALYSIS INPUT
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
senstvtyTriNpt1D = 4; % number of gauss points for line quadrature in sensitivity analysis
senstvtyTriNpt2D = 16; % number of gauss points for triangular quadrature in sensitivity analysis
senstvtyQuadNpt1D = 4; % number of gauss points in one direction for quad child element in polynomial IGFEM sensitivity analysis
%sensitivity.optimization_type = 'SHAPE';
% 'GradObj', 'on': adjoint method; 'GradObj','off':finite difference
%'DerivativeCheck', 'on', ... %Compare user-supplied derivatives (gradients of objective or constraints) to finite-differencing derivatives.
% 'GradCon'... % turn off the gradient mode for the cosntriant funcitons
% different algorithms fmincon uses for solving the optimization problem
%'trust-region-reflective'
%'interior-point'
%'sqp'
%'active-set'
% define the "option" parameter to later pass to the fmincon function
sensitivity.options ...
= optimoptions(@fmincon, ...
'FunValCheck', 'off',... % check for complex, inf or nan obj fun val and terminate if true
'GradObj', 'on',... % supply gradient for the objective funcitons
'GradConstr', 'on', ... % supply gradient for the constraint funcitons
'DerivativeCheck', 'off', ... %Compare user-supplied derivatives (gradients of objective or constraints) to finite-differencing derivatives.
'FinDiffType','central', ...
'outputfcn', @outfun_blocked_channels,... % output the history of the converged solution
'Algorithm', 'sqp',... % Choose the algorithm to solve the optimization
'TolCon', 1e-6,... % tolerance for constraint
'TolX',1e-7,... % tolerance for parameter value (multiplied by velocity)
'TolFun', 1e-6, ... % tolerence on the funciton we optimize
'Display', 'iter-detailed');
% 'ScaleProblem','obj-and-constr', ... % normalize all constraints and the objective function
% 'DiffMaxChange', 1e-6, ... % maximum change in variables for FD gradients
scaleObj = true;
scaleConstraint = true;
%% NO USER INPUT BELOW THIS LINE
%% Initialize required FEM data that does not change from one simulation to the next
sensitivity.gauss.line = gauss_points_and_weights(true,senstvtyTriNpt1D,1,'combined');
sensitivity.gauss.elem = gauss_points_and_weights(true,senstvtyTriNpt2D,2,'combined');
if femParams.otherFlags.polyIGFEM
sensitivity.gauss.quadElem = gauss_points_and_weights(false,senstvtyQuadNpt1D,2,'combined');
end
% label edges for refinement later. Important!!!!!!!!!!
if femParams.refine.maxRefineLevel
mesh.elem.elem_node = label(mesh.node.coords,mesh.elem.elem_node);
end
femParams.tol.halfLineWidth = mesh.edge.minLength*femParams.tol.halfLineWidthFrac;
femParams.moveNode.dist = mesh.edge.minLength*femParams.moveNode.distFrac;
% check optimization inputs
sensitivity.costFunction.objOpt.node = []; % outlet node not requested
% intDomainType indicates whether the primary objective function is
% integrated over the whole domain. Note that this does not apply to the
% second possible objective function, i.e, the 1-norm.
% 0 = whole domain, 1 = channels only
sensitivity.costFunction.objOpt.intDomainType = 0;
switch costFuncType
case 'P_NORM'
sensitivity.costFunction.objOpt.normp = costFuncNormp;
sensitivity.costFunction.objOpt.calcOneNorm = false;
sensitivity.costFunction.type = costFuncType;
case 'NODAL_T_IN'
% NOTE: only allows one node for now
sensitivity.costFunction.objOpt.normp = 1;
sensitivity.costFunction.objOpt.calcOneNorm = false;
sensitivity.costFunction.type = costFuncType;
sensitivity.costFunction.objOpt.node = -1;
case 'NODAL_T_OUT'
% NOTE: only allows one node for now
sensitivity.costFunction.objOpt.normp = 1;
sensitivity.costFunction.objOpt.calcOneNorm = false;
sensitivity.costFunction.type = costFuncType;
sensitivity.costFunction.objOpt.node = -2;
case 'NODAL_T_INOUT'
% NOTE: only allows one node for now
sensitivity.costFunction.objOpt.normp = 1;
sensitivity.costFunction.objOpt.calcOneNorm = false;
sensitivity.costFunction.type = costFuncType;
sensitivity.costFunction.objOpt.node = -3;
otherwise
error('unrecognized cost function type')
end
if (ischar(nlconType))
splitStr = regexp(nlconType,',','split');
for i = 1:numel(splitStr)
if (~strcmp(splitStr{i},'Pmin') ...
&& ~strcmp(splitStr{i},'Pmax') ...
&& ~strcmp(splitStr{i},'Tmax') ...
&& ~strcmp(splitStr{i},'Amin') ...
&& ~strcmp(splitStr{i},'Amax') ...
&& ~strcmp(splitStr{i},'Vmin') ...
&& ~strcmp(splitStr{i},'Vmax') ...
&& ~strcmp(splitStr{i},'nodalT') )
error('unknown nonlinear constraint type')
end
end
elseif (~isempty(nlconType))
error('unknown nonlinear constraint type')
end
readOptions.nlcon.type = nlconType;
readOptions.nlcon.minP = nlconMinP;
readOptions.nlcon.maxP = nlconMaxP;
readOptions.nlcon.maxTmax = nlconMaxTmax;
readOptions.nlcon.area = mesh.domainArea;
readOptions.nlcon.minAorVFrac = nlconMinAorVFrac;
readOptions.nlcon.maxAorVFrac = nlconMaxAorVFrac;
readOptions.nlcon.nodalTbounds = nlconNodalTbounds + mesh.convect.Toffset;
% Initialize the global variables
directory = ['./',directory];
mkdir(directory);
G_filePrefix = filePrefix; % prefix to be added to the file names
% write simulation parameters to file
fnameSim = [directory,'/',filePrefix,'_simulation_parameters.txt'];
fidSim = fopen(fnameSim,'w');
fprintf(fidSim,'parameters for minimax optimization %i\n',nSimulations);
fprintf(fidSim,'number of simulations %i\n',nSimulations);
fprintf(fidSim,'channel file %s\n',channelFile);
fprintf(fidSim,'polygon file %s\n',polygonFile);
fprintf(fidSim,'sample file %s\n',boundsFile_sampleFile);
fprintf(fidSim,'blocked-channel file %s\n',blockedChannelFile);
fprintf(fidSim,'cost function type %s\n',costFuncType);
fprintf(fidSim,'cost function norm %g\n',costFuncNormp);
fprintf(fidSim,'TolFun %g\n',sensitivity.options.TolFun);
fprintf(fidSim,'TolX %g\n',sensitivity.options.TolX);
fprintf(fidSim,'TolCon %g\n',sensitivity.options.TolCon);
fprintf(fidSim,'obj scaled %i\n',scaleObj);
fprintf(fidSim,'area constraint scaled %i\n',scaleConstraint);
if (isempty(nlconType))
fprintf(fidSim,'nonlinear constraint type not applied\n');
else
fprintf(fidSim,'nonlinear constraint type %s\n',nlconType);
end
if (isempty(nlconMinP))
fprintf(fidSim,'minimum pressure (Pa) not applied\n');
else
fprintf(fidSim,'minimum pressure (Pa) %g\n',nlconMinP);
end
fprintf(fidSim,'maximum pressure (Pa) %g\n',nlconMaxP);
fprintf(fidSim,'maximum Tmax (Celsius) %g\n',nlconMaxTmax);
fprintf(fidSim,'minimum area or volume fraction %g\n',nlconMinAorVFrac);
fprintf(fidSim,'maximum area of volume fraction %g\n',nlconMaxAorVFrac);
fprintf(fidSim,'side triangle min angle %g\n',minSidePolyAngle);
fprintf(fidSim,'side triangle min area %g\n',minSidePolyArea);
fprintf(fidSim,'interior triangle min angle %g\n',minPolyAngle);
fprintf(fidSim,'interior triangle min area %g\n',minPolyArea);
fclose(fidSim);
% copy input file
spltStr = regexp(inputFile,'/','split');
copyfile(['./InputFiles/',inputFile],[directory,'/',spltStr{end}]);
% read channel numbers to be blocked
blockedSets = read_blocked_channels(blockedChannelFile);
G_history.nMaxObjs = numel(blockedSets);
for simNum = 1:nSimulations
G_simDirectory = [directory,'/sim',num2str(simNum),'/'];
mkdir(G_simDirectory)
G_history.iter = [];
G_history.fval = [];
G_history.maxSet = [];
G_history.SD = [];
G_history.x = [];
G_history.cstr = [];
G_history.inPressure = [];
G_history.inFlow = [];
G_history.Tave = [];
G_history.Tpnorm = [];
G_history.Tpnorm2 = [];
G_history.Tmax = [];
G_history.firstorderopt = [];
G_history.Tmax2TnRatio = [];
G_history.volFrac = [];
G_history.areaFrac = [];
G_history.Tin = [];
G_history.Tout = [];
G_history.TaveChan = [];
G_history.TminChan = [];
G_history.TmaxChan = [];
G_funcEvalCounter =0;
G_constraint.g = []; % constraint function values
G_constraint.history.nodalT = []; % Only applicable when the nodal temperature constraints are evaluated at different flow conditions
G_out = [];
G_out.costFuncType = costFuncType;
G_out.gauss = femParams.gauss;
G_out.normp = costFuncNormp;
G_out.nuFlag = 1; % evaluate viscosity at average network temperature
G_Tmax2TnRatio = 1.2; % initial guess for ratio
sensitivity.objScale = 1; % important to reset scale !
sensitivity.objOffset = 0.0;
try
fprintf('\n---------------------------------------------------------\n')
fprintf('Starting simulation %i ',simNum)
fprintf('\n---------------------------------------------------------\n')
%read channel file and design parameters
readOptions.figBounds = [mesh.boundary.xi, mesh.boundary.xf, ...
mesh.boundary.yi, mesh.boundary.yf];
readOptions.filePrefix = [G_simDirectory,G_filePrefix];
readOptions.polygonFile = polygonFile;
readOptions.polygonFig = [readOptions.filePrefix,'_polygons'];
readOptions.nlconfun = @nonlinear_constraints;
readOptions.nlcon.sinMinPolyAngle = sin(pi/180*minPolyAngle);
readOptions.nlcon.minPolyArea = minPolyArea;
readOptions.nlcon.sinMinSidePolyAngle = sin(minSidePolyAngle*pi/180);
readOptions.nlcon.minSidePolyArea = minSidePolyArea;
readOptions.mergeTriangles = mergeTriangles;
if (simNum == 1 && ~randomizeFirst)
readOptions.boundsFile = [];
readOptions.sampleFile = [];
readOptions.sampleNum = [];
elseif ~isempty(boundsFile_sampleFile)
if (nSimulations > 0 && jobNum_sampleNum > 0)
readOptions.sampleFile = boundsFile_sampleFile;
readOptions.sampleNum = (jobNum_sampleNum - 1)*nSimulations + simNum;
fprintf('Sample number %i ',readOptions.sampleNum)
fprintf('\n---------------------------------------------------------\n')
readOptions.boundsFile = [];
elseif (nSimulations == 1 && jobNum_sampleNum < 0)
readOptions.sampleFile = boundsFile_sampleFile;
readOptions.sampleNum = -jobNum_sampleNum;
fprintf('Only sample number %i is chosen !',readOptions.sampleNum)
fprintf('\n---------------------------------------------------------\n')
readOptions.boundsFile = [];
else
warning('Sample file not used')
readOptions.boundsFile = boundsFile_sampleFile;
readOptions.sampleFile = [];
readOptions.sampleNum = [];
end
end
readOptions.Toffset = mesh.convect.Toffset;
[channels,...
sensitivity.designParams, ...
sensitivity.restrictedParams]...
= preprocess_channels(channelFile,readOptions);
channels.domainVol = mesh.domainVol;
channels.domainArea = mesh.domainArea;
G_out.designParams = sensitivity.designParams; % for output only
totParams = sensitivity.designParams.nParams ...
+sensitivity.restrictedParams.nParams + 1; % additional constraint is needed for minimax problem
write_channel_file([readOptions.filePrefix,'_ini.channel'],...
channels,...
mesh.convect.Toffset,...
sensitivity.designParams,...
'w',[])
sensitivity.costFunction.objOpt.nDesignParams = sensitivity.designParams.nParams;
[lb,ub] = params_bounds(sensitivity.designParams, ...
sensitivity.restrictedParams);
lb(end+1) = -inf;
ub(end+1) = inf;
% linear equality constraints
[Aeq,beq] = linear_equality_constraints(sensitivity.restrictedParams, ...
sensitivity.designParams.nParams+1);
% initial guess for the change in design parameter
iniGuess = zeros(totParams,1);
if (scaleConstraint)
readOptions.nlcon.areaScale = mesh.domainArea;
end
if (scaleObj)
% IMPORTANT: i) must redeclare anonymous function after any of its arguments is changed
% ii) must ensure that the normalization factor is positive !
sensitivity.objScale = abs(fem_n_sensitivity (iniGuess(1:end-1), ...
mesh, ...
channels, ...
femParams, ...
sensitivity, ...
1,false,false)); % don't scale obj yet
G_out.objScale = sensitivity.objScale;
costfun = @ (delParams) minimax_param(delParams,sensitivity.objScale);
iniGuess(end) = sensitivity.objScale;
else
G_out.objScale = 1.0;
costfun = @ (delParams) minimax_param(delParams,1);
end
nlconfun = @ (delParams) nonlinear_constraints_blocked_channels(...
delParams, ...
blockedSets, ...
sensitivity.designParams, ...
sensitivity.restrictedParams, ...
channels,...
readOptions.nlcon, ...
mesh, ...
femParams, ...
sensitivity);
fminconTimer = tic;
[param_val, fval, exitflag, output, lambda, grad] ...
= fmincon (costfun,... % Pass the objective function
iniGuess,... % optimization parameter initial value (x0) (multiplied by velocity). x0 can be a scalar, vector, or matrix.
[], [],... % the inequalities: subject to the linear inequalities A*x <= b. Here x is param_val.
Aeq, beq,... % the linear equalities Aeq*x = beq. Here x is param_val.
lb, ub,... % bound for the param_val
nlconfun,... % the nonlinear constriant: the nonlinear inequalities c(x) or equalities ceq(x) defined in nonlcon.
sensitivity.options); % "sensitivity.options" which was defined earlier
fmincontime = toc(fminconTimer);
fprintf('fmincon time = %g \n',fmincontime)
%%
filePrefix = [G_simDirectory,G_filePrefix];
save([filePrefix,'_allVariables'])
simStatus = 'succeed';
fidSim = fopen(fnameSim,'a');
fprintf(fidSim,'\nSimulation %i %s, fmincon time = %g \n',simNum,simStatus, fmincontime);
%
catch err
filePrefix = [G_simDirectory,G_filePrefix];
save([filePrefix,'_allVariables'])
fprintf('SIMULATION %i FAILED because \n',simNum)
warning(getReport(err))
simStatus = 'failed';
fidSim = fopen(fnameSim,'a');
fprintf(fidSim,'\nSimulation %i %s \n',simNum,simStatus);
end
%
fclose ('all');
end % loop through all simulations
end