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3dmhd.cpp
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3dmhd.cpp
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/**
* This is a finite difference program for the Cray T3E to simulate three
* dimensional magnetohydrodynamics in a rotating fully ionized
* hydrogen ideal-gas of adiabatic stratification in the upper potion and
* stable stratification in the lower. Rotation and magnetic fields can be
* turned on and off with logical parameters lRot and lMag. The code empolys
* irregular grids, second-order finite differencing, and fully explicit
* time stepping. Must be linked with 3dmhdset.f and 3dmhdsub.f.
* Unless noted the code was written by Mark Peter Rast.
* Original two-dimensional version finished 12/27/95. MPP version 11/1/96.
* Three-dimensional magnetohydrodynamic version 2/5/98.
* Two dimensional decomposition of the domain by Matthias Rempel 03/21/02.
*/
#include "3dmhdio.h"
#include "3dmhdparam.h"
#include "3dmhdphsic.h"
#include "3dmhdprint.h"
#include "3dmhdset.h"
#include "3dmhdsub.h"
#include "3dmhdutils.h"
#include <mpi.h>
typedef double data[nz][ny][nx];
int ipar[32];
double par[64];
/*BIG*/
data RU, RV, RW, RO, TT;
data UU, VV, WW;
data FU, FV, FW, FR, FT;
data ZRU, ZRV, ZRW, ZRO, ZTT;
data WW1, WW2, WW3;
data BX, BY, BZ;
data ZBX, ZBY, ZBZ;
/*AJACOBI*/
double EXX[nx], dxxdx[nx], d2xxdx2[nx], DDX[nx];
double WYY[ny], dyydy[ny], d2yydy2[ny], DDY[ny];
double ZEE[nz], dzzdz[nz], d2zzdz2[nz], DDZ[nz];
/*ITER*/
int nTotal, nStep0, nIt;
/*COMMUN*/
int myPE, myPEy, myPEz;
MPI_Datatype MPISIZE;
/*CPAR*/
double CV, OCV, ORE, RE, REPR, THETA, GRAV, AMPT, GAMMA;
/*CROT*/
double OMX, OMZ;
/*CMAG*/
double ORM, RM, OBETA, AMPB, BFH, BZP;
/*CPEN*/
double PZP, SIGMA, RKAPST, TB, RKAPM;
double RKAPA[nz], DKAPA[nz];
/*CPER*/
double TP, XP, YP, ZP, TC, QFH, HH;
/*BOUNDS*/
double xMax, yMax, zMax;
/*GRID*/
double DD, hx, h2x, hy, h2y, hz, h2z;
double C13, C23, C43;
/*CTIM*/
double DT, TIMT, TIMC, TIMI;
/*TRACE*/
double UMACH;
/*RUNGKU*/
double GAM1, GAM2, GAM3, ZETA1, ZETA2;
/*SPLINEX*/
double HHX[nPx + 3], SIGX[nPx], AAX[nPx + 3], BBX[nPx + 3], XPINV[nPx], xHH;
int kLOx[nPx + 3], kHIx[nPx + 3], iSEGx;
/*SPLINEY*/
double HHY[nRy + 3], SIGY[nRy], AAY[nRy + 3], BBY[nRy + 3], YPINV[nRy], yHH;
int kLOy[nRy + 3], kHIy[nRy + 3], iSEGy;
/*RELAX*/
double TSTART, TOFF, RLAX;
/*SPECIALBOUND*/
double TU, DZTB, DZTU;
/*FFCOM*/
double A, C;
void init_spline_x(double* EX);
void init_spline_y(double* EY);
std::string PEextn();
void set();
int main(int argc, char* argv[]) {
int NN;
auto rt = mkdir(outputDir.c_str(), S_IRWXU | S_IRWXG | S_IROTH | S_IXOTH);
if (!rt) printf("Folder created\n");else printf("Impossible create folder ");
MPI_Init(&argc, &argv);
MPI_Comm_rank(MPI_COMM_WORLD, &myPE);
MPI_Comm_size(MPI_COMM_WORLD, &NN);
if (NN != nPE) exit_err("MAIN: Number of processors not equal to nPE");
myPEy = myPE % nPEy;
myPEz = myPE / nPEy;
printf("[%02d] myPEy [%02d] myPEz [%02d]\n", myPE, myPEy, myPEz);
if (iWord == 8) {
MPISIZE = MPI_DOUBLE_PRECISION;
} else {
MPISIZE = MPI_FLOAT;
}
set();
// TODO 以上的部分验证完毕
std::string fIn0 = fInp + ".dat0." + PEextn();
std::string fIn1 = fInp + ".par";
if (nStart == 0) {
Static();
TIMI = 0.0f;
} else {
#if lRem
Static();
#endif
if (myPE == 0) loadParam(fIn1, 0);
MPI_Bcast(par1, 96, MPISIZE, 0, MPI_COMM_WORLD);
int nx1 = static_cast<int>(par1[10]);
int ny1 = static_cast<int>(par1[11]) / static_cast<int>(par1[20]);
int nz1 = static_cast<int>(par1[12]) / static_cast<int>(par1[13] / par1[20]);
if (nx - ix != nx1 || ny - iy != ny1 || nz != nz1 + iz) exit_err("MAIN: Grid size mismatch, no interpolation");
if (myPE == 0) loadParam(fIn1, nStart - 1);
MPI_Bcast(par1, 96, MPISIZE, 0, MPI_COMM_WORLD);
double TIMI = par1[63] + par1[64];
loadData(fIn0, nStart - 1);
if (myPEz == nPEz - 1) {
TB = TT[1][1][nz - iz / 2 - 1];
}
}
// MPI_Barrier(MPI_COMM_WORLD);
if (myPE == 0) print_DATAS();
// MPI_Barrier(MPI_COMM_WORLD);
// exit_err("debug");
// TODO check
communicate();
CV = 1.0f / (GAMMA - 1.0f);
OCV = 1.0f / CV;
for (int z = 0; z < nz; z++) {
for (int y = 1; y < ny - iy + 1; y++) {
for (int x = 1; x < nx - ix + 1; x++) {
UU[z][y][x] = (square(RU[z][y][x]) + square(RV[z][y][x]) + square(RW[z][y][x])) / square(RO[z][y][x]);
VV[z][y][x] = GAMMA * TT[z][y][x];
#if lMag
VV[z][y][x] += OBETA * (square(BX[z][y][x]) + square(BY[z][y][x]) + square(BZ[z][y][x])) / square(RO[z][y][x]);
#endif
UU[z][y][x] += VV[z][y][x] + 2.0f * sqrt(UU[z][y][x] * VV[z][y][x]);
}
}
}
#define ISW 1
#if ISW == 0
double RMIN = minVal(RO, 0, nz, 1, ny - iy + 1, 1, nx - ix + 1);
double VMAX = sqrt(maxVal(UU, 0, nz, 1, ny - iy + 1, 1, nx - ix + 1));
if (nx > ix + 1) {
double minDDX = minVal(DDX, 1, nx - ix + 1);
double minDDY = minVal(DDY, 1, ny - iy + 1);
double minDDZ = minVal(DDZ, 0, nz);
DD = min(min(minDDX, minDDY), minDDZ);
} else {
double minDDY = minVal(DDY, 1, ny - iy + 1);
double minDDZ = minVal(DDZ, 0, nz);
DD = min(minDDY, minDDZ);
}
RKAPM = maxVal(RKAPA, 0, nz);
wMin[0] = RMIN;
wMin[1] = DD;
MPI_Allreduce(wMin, wMout, 2, MPI_DOUBLE, MPI_MIN, MPI_COMM_WORLD);
RMIN = wMout[0];
DD = wMout[1];
wMin[0] = VMAX;
wMin[1] = RKAPM;
MPI_Allreduce(wMin, wMout, 2, MPI_DOUBLE, MPI_MAX, MPI_COMM_WORLD);
VMAX = wMout[0];
RKAPM = wMout[1];
DT1 = DD / VMAX;
#if lRem
DT2 = 0.5f * DD * DD * REPR * CV * RMIN / (1.0f + RKAPM);
#else
DT2 = 0.5f * DD * DD * REPR * CV * RMIN / RKAPM;
#endif
DT3 = 0.375f * DD * DD * RE * RMIN;
#if lMag
DT4 = 0.5f * DD * DD * RM;
DT = SFF * min(min(DT1, DT2), min(DT3, DT4));
#else
DT4 = 0.0f;
DT = SFF * min(min(DT1, DT2), DT3);
#endif
#else
for (int z = iz / 2; z < nz - iz / 2; z++) {
for (int y = 1; y < ny - iy + 1; y++) {
for (int x = 1; x < nx - ix + 1; x++) {
if (nx > ix + 1) {
DD = min(min(DDX[x], DDY[y]), DDZ[z]);
} else {
DD = min(DDY[y], DDZ[z]);
}
WW1[z][y][x] = DD / sqrt(UU[z][y][x]);
#if lRem
WW2[z][y][x] = 0.5f * DD * DD * REPR * CV * RO[z][y][x] / (1.0f + RKAPA[z]);
#else
WW2[z][y][x] = 0.5f * DD * DD * REPR * CV * RO[z][y][x] / RKAPA[z];
#endif
WW3[z][y][x] = 0.375f * DD * DD * RE * RO[z][y][x];
#if lMag
VV[z][y][x] = 0.5f * DD * DD * RM;
#endif
}
}
}
wMin[0] = minVal(WW1, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
wMin[1] = minVal(WW2, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
wMin[2] = minVal(WW3, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
int MINCNT = 3;
#if lMag
wMin[3] = minVal(VV, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
MINCNT = 4;
#endif
MPI_Allreduce(wMin, wMout, MINCNT, MPI_DOUBLE, MPI_MIN, MPI_COMM_WORLD);
DT1 = wMout[0];
DT2 = wMout[1];
DT3 = wMout[2];
#if lMag
DT4 = wMout[3];
DT = SFF * min(min(DT1, DT2), min(DT3, DT4));
#else
DT4 = 0.0f;
DT = SFF * min(min(DT1, DT2), DT3);
#endif
#endif
#undef ISW
fill(FU, 0, 0, nz, 0, ny, 0, nx);
fill(FV, 0, 0, nz, 0, ny, 0, nx);
fill(FW, 0, 0, nz, 0, ny, 0, nx);
fill(FT, 0, 0, nz, 0, ny, 0, nx);
fill(FR, 0, 0, nz, 0, ny, 0, nx);
fill(WW1, 0, 0, nz, 0, ny, 0, nx);
fill(WW2, 0, 0, nz, 0, ny, 0, nx);
fill(WW3, 0, 0, nz, 0, ny, 0, nx);
std::string ff0 = fOut + ".dat0." + PEextn();
std::string ff1 = fOut + ".par";
std::string fLog = fOut + ".lis";
for (int i = 0; i < 80; i++) blanks[i] = ' ';
for (int i = 0; i < 32; i++) par1[i] = float(ipar[i]);
for (int i = 0; i < 64; i++) par1[i + 32] = par[i];
if (nIt == 0 && myPE == 0) logGreet(fLog);
if (myPE == 0) printf("iteration 0: DT = %20.14E\n", DT);
int nBeg = nIt + 1;
for (int nk = nBeg; nk <= nTotal; nk++) {
step();
par1[14] = nIt;
par1[62] = DT;
if (nk == nTotal) {
par1[63] = TIMT;
par1[64] = 0.0f;
} else {
par1[63] = TIMI;
par1[64] = TIMC;
}
if (myPE == 0) printf("iteration %2d: DT = %20.14E\n", nk, DT);
if (DT < 1.0e-8f) {
dump(ff0, ff1);
for (int z = iz / 2; z < nz - iz / 2; z++) {
for (int y = 1; y < ny - iy + 1; y++) {
for (int x = 1; x < nx - ix + 1; x++) {
DD = min(min(DDX[x], DDY[y]), DDZ[z]);
WW1[z][y][x] = DD / sqrt(UU[z][y][x]);
#if lRem
WW2[z][y][x] = 0.5f * DD * DD * REPR * CV * RO[z][y][x] / (1.0f + RKAPA[z]);
#else
WW2[z][y][x] = 0.5f * DD * DD * REPR * CV * RO[z][y][x] / RKAPA[z];
#endif
WW3[z][y][x] = 0.375f * DD * DD * RE * RO[z][y][x];
#if lMag
VV[z][y][x] = 0.5f * DD * DD * RM;
#endif
}
}
}
double min_val;
int min_pos[3];
min_val = minVal(WW1, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
minLoc(WW1, min_pos, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
printf("[%02d] Min DT1: %10.4E %d %d %d\n", myPE, min_val, min_pos[0], min_pos[1], min_pos[2]);
min_val = minVal(WW2, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
minLoc(WW2, min_pos, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
printf("[%02d] Min DT2: %10.4E %d %d %d\n", myPE, min_val, min_pos[0], min_pos[1], min_pos[2]);
min_val = minVal(WW3, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
minLoc(WW3, min_pos, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
printf("[%02d] Min DT3: %10.4E %d %d %d\n", myPE, min_val, min_pos[0], min_pos[1], min_pos[2]);
#if lMag
min_val = minVal(VV, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
minLoc(VV, min_pos, iz / 2, nz - iz / 2, 1, ny - iy + 1, 1, nx - ix + 1);
printf("[%02d] Min DT4: %10.4E %d %d %d\n", myPE, min_val, min_pos[0], min_pos[1], min_pos[2]);
#endif
if (myPE == 0) logFatal(fLog);
exit_err("MAIN DT too small, halt");
}
if (nIt % nStep0 == 0) {
dump(ff0, ff1);
if (myPE == 0) printf("iteration %5d of %5d\n", nIt, nTotal);
if (myPE == 0) logEpoch(fLog);
}
}
if (myPE == 0) {
std::ofstream outLog(fLog, std::ios::out | std::ios::app);
s4000(strng), standard(strng), outLog.write(strng, sizeof(char) * 80);
s4090(strng), standard(strng), outLog.write(strng, sizeof(char) * 80);
s4000(strng), standard(strng), outLog.write(strng, sizeof(char) * 80);
s4000(strng), standard(strng), outLog.write(strng, sizeof(char) * 80);
outLog.close();
}
MPI_Finalize();
return 0;
}
void set() {
C13 = 1.0f / 3.0f;
C23 = 2.0f * C13;
C43 = 4.0f * C13;
GAM1 = 8.0f / 15.0f;
GAM2 = 5.0f / 12.0f;
GAM3 = 3.0f / 4.0f;
ZETA1 = -17.0f / 60.0f;
ZETA2 = -5.0f / 12.0f;
hx = 0.5f * float(nPx - 1);
h2x = float(nPx - 1) * float(nPx - 1);
hy = 0.5f * float(nPy - 1);
h2y = float(nPy - 1) * float(nPy - 1);
hz = 0.5f * float(nPz - 1);
h2z = float(nPz - 1) * float(nPz - 1);
setup(ipar, par);
nCase = ipar[0];
nCaseP = ipar[1];
nTotal = ipar[2];
nStep0 = ipar[3];
nStart = ipar[4];
nIt = 0;
nDump0 = 0;
NSW = 0;
ipar[5] = ixCon;
ipar[6] = iyCon;
ipar[7] = izCon;
ipar[8] = iTCon;
ipar[9] = iBCon;
ipar[10] = nPx;
ipar[11] = nPy;
ipar[12] = nPz;
ipar[13] = nPE;
ipar[15] = nTube;
ipar[16] = nGrid;
ipar[17] = nCol;
ipar[18] = nRow;
ipar[19] = iD;
ipar[20] = nPEy;
RE = par[0];
PR = par[1];
THETA = par[2];
GRAV = par[3];
RY = par[4];
ANG = par[5];
RM = par[6];
BETA = par[7];
PZP = par[8];
SIGMA = par[9];
POLYS = par[10];
TP = par[11];
TC = par[12];
XP = par[13];
YP = par[14];
ZP = par[15];
xMax = par[16];
yMax = par[17];
zMax = par[18];
AMPT = par[19];
AMPB = par[20];
BFH = par[21];
BZP = par[22];
QFH = par[52];
GAMMA = par[53];
HH = par[54];
TSTART = par[57];
TOFF = par[58];
RLAX = par[59];
#if lRot
OMX = sin(ANG) / RY;
OMZ = cos(ANG) / RY;
#else
OMX = 0.0f;
OMZ = 0.0f;
#endif
par[23] = XX1, par[24] = XX2;
par[25] = YY1, par[26] = YY2;
par[27] = ZZ1, par[28] = ZZ2;
par[29] = SFF;
par[38] = XA, par[39] = XB, par[40] = XC, par[41] = XD;
par[42] = YA, par[43] = YB, par[44] = YC, par[45] = YD;
par[46] = ZA, par[47] = ZB, par[48] = ZC, par[49] = ZD;
par[55] = DH, par[56] = DV;
REPR = RE * PR;
ORE = 1.0f / RE;
if (GRAV == 0.0) {
RKAPST = 1.0f;
} else {
RKAPST = (POLYS + 1.0f) * THETA / GRAV;
}
ORM = 1.0f / RM;
OBETA = 2.0f / BETA;
TIMC = 0.0f;
if (nx > ix + 1) {
xJacobi();
} else {
fill(EXX, 0, nx);
fill(dxxdx, 0, nx);
fill(d2xxdx2, 0, nx);
fill(DDX, 0, nx);
}
yJacobi();
zJacobi();
if (nx > ix + 1) {
init_spline_x(&EXX[ix - 1]);
}
init_spline_y(&WYY[iy - 1]);
#if !lRem
if (PZP == 0.0) {
for (int i = 0; i < nz; i++) {
RKAPA[i] = 1.0f;
DKAPA[i] = 0;
}
} else {
for (int i = 0; i < nz; i++) {
RKAPA[i] = 1.0f + (RKAPST - 1.0f) / 2.0f * (1.0f + tanh((ZEE[i] - PZP) / SIGMA));
DKAPA[i] = (RKAPST - 1.0f) / 2.0f / SIGMA / square(cosh((ZEE[i] - PZP) / SIGMA));
}
}
#endif
// MPI_Barrier(MPI_COMM_WORLD);
// if (myPE == 0) print_CPEN();
// MPI_Barrier(MPI_COMM_WORLD);
// exit_err("debug");
}
std::string PEextn() {
std::string str(4, '0');
for (int k = 3, t = myPE; k >= 0; k--)
str[k] = '0' + t % 10, t /= 10;
return str;
}
void init_spline_x(double* EX) {
double X2[nPx];
double EX2[nPx + 3];
iSEGx = nPx - 1;
while ((iSEGx % 4) != 0) iSEGx += 1;
double xMin = minVal(EX, 0, nPx);
double xMax = maxVal(EX, 0, nPx);
xHH = (xMax - xMin) / float(iSEGx);
for (int i = 0; i <= iSEGx; i++) EX2[i] = xHH * float(i) + xMin;
X2[0] = 0.0f;
for (int i = 1; i < nPx - 1; i++) {
SIGX[i] = (EX[i] - EX[i - 1]) / (EX[i + 1] - EX[i - 1]);
XPINV[i] = 1.0f / (SIGX[i] * X2[i - 1] + 2.0f);
X2[i] = (SIGX[i] - 1.0f) * XPINV[i];
}
for (int i = 0; i <= iSEGx; i++) {
double X = EX2[i];
kLOx[i] = 0;
kHIx[i] = nPx - 1;
while (kHIx[i] - kLOx[i] > 1) {
int k = (kHIx[i] + kLOx[i]) / 2;
if (EX[k] > X) {
kHIx[i] = k;
} else {
kLOx[i] = k;
}
}
HHX[i] = EX[kHIx[i]] - EX[kLOx[i]];
if (HHX[i] == 0) exit_err("init_spline_x: EX values must be distinct.");
AAX[i] = (EX[kHIx[i]] - X) / HHX[i];
BBX[i] = (X - EX[kLOx[i]]) / HHX[i];
}
}
void init_spline_y(double* EY) {
double Y2[nRy];
double EY2[nRy + 3];
iSEGy = nRy - 1;
while ((iSEGy % 4) != 0) iSEGy += 1;
double yMin = minVal(EY, 0, nRy);
double yMax = maxVal(EY, 0, nRy);
yHH = (yMax - yMin) / float(iSEGy);
for (int i = 0; i <= iSEGy; i++) EY2[i] = yHH * float(i) + yMin;
Y2[0] = 0.0f;
for (int i = 1; i < nRy - 1; i++) {
SIGY[i] = (EY[i] - EY[i - 1]) / (EY[i + 1] - EY[i - 1]);
XPINV[i] = 1.0f / (SIGY[i] * Y2[i - 1] + 2.0f);
Y2[i] = (SIGY[i] - 1.0f) * XPINV[i];
}
for (int i = 0; i <= iSEGy; i++) {
double Y = EY2[i];
kLOy[i] = 0;
kHIy[i] = nRy - 1;
while (kHIy[i] - kLOy[i] > 1) {
int k = (kHIy[i] + kLOy[i]) / 2;
if (EY[k] > Y) {
kHIy[i] = k;
} else {
kLOy[i] = k;
}
}
HHY[i] = EY[kHIy[i]] - EY[kLOy[i]];
if (HHY[i] == 0) exit_err("init_spline_y: EY values must be distinct.");
AAY[i] = (EY[kHIy[i]] - Y) / HHY[i];
BBY[i] = (Y - EY[kLOy[i]]) / HHY[i];
}
}