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EnhancedSolver port complete

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This commit is contained in:
Aditya Ujeniya
2024-07-27 02:19:56 +02:00
parent 8091c714e2
commit d81313f293
199 changed files with 16030 additions and 310 deletions
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16
BasicSolver/2D-mpi/Makefile
View File

@@ -22,6 +22,7 @@ SRC = $(filter-out $(wildcard $(SRC_DIR)/*-*.c),$(wildcard $(SRC_DIR)/*.c)
ASM = $(patsubst $(SRC_DIR)/%.c, $(BUILD_DIR)/%.s, $(SRC))
OBJ = $(patsubst $(SRC_DIR)/%.c, $(BUILD_DIR)/%.o, $(SRC))
OBJ += $(BUILD_DIR)/comm-$(COMM_TYPE).o
OBJ += $(BUILD_DIR)/solver-$(SOLVER).o
SOURCES = $(SRC) $(wildcard $(SRC_DIR)/*.h)
CPPFLAGS := $(CPPFLAGS) $(DEFINES) $(OPTIONS) $(INCLUDES)
@@ -38,9 +39,20 @@ $(BUILD_DIR)/%.s: %.c
$(info ===> GENERATE ASM $@)
$(CC) -S $(CPPFLAGS) $(CFLAGS) $< -o $@
.PHONY: clean distclean tags info asm format
.PHONY: clean distclean vis vis_clean tags info asm format
clean:
vis:
$(info ===> GENERATE VISUALIZATION)
@gnuplot -e "filename='pressure.dat'" ./surface.plot
@gnuplot -e "filename='velocity.dat'" ./vector.plot
@gnuplot -e "filename='residual.dat'" ./residual.plot
vis_clean:
$(info ===> CLEAN VISUALIZATION)
@rm -f *.dat
@rm -f *.png
clean: vis_clean
$(info ===> CLEAN)
@rm -rf $(BUILD_DIR)
@rm -f tags

19
BasicSolver/2D-mpi/canal.par
View File

@@ -7,10 +7,10 @@
name canal # name of flow setup
bcN 1 # flags for boundary conditions
bcE 3 # 1 = no-slip 3 = outflow
bcS 1 # 2 = free-slip 4 = periodic
bcW 3 #
bcTop 1 # flags for boundary conditions
bcBottom 1 # 1 = no-slip 3 = outflow
bcLeft 3 # 2 = free-slip 4 = periodic
bcRight 3 #
gx 0.0 # Body forces (e.g. gravity)
gy 0.0 #
@@ -27,15 +27,22 @@ p_init 0.0 # initial value for pressure
xlength 30.0 # domain size in x-direction
ylength 4.0 # domain size in y-direction
imax 200 # number of interior cells in x-direction
jmax 50 # number of interior cells in y-direction
jmax 40 # number of interior cells in y-direction
# Time Data:
# ---------
te 100.0 # final time
te 60.0 # final time
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
# Multigrid data:
# ---------
levels 2 # Multigrid levels
presmooth 5 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Pressure Iteration Data:
# -----------------------

6
BasicSolver/2D-mpi/config.mk
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@@ -1,7 +1,11 @@
# Supported: GCC, CLANG, ICC
TAG ?= CLANG
TAG ?= ICC
# Supported: true, false
ENABLE_MPI ?= true
ENABLE_OPENMP ?= false
# Supported: rb, mg
SOLVER ?= mg
# Supported: v1, v2, v3
COMM_TYPE ?= v3
#Feature options

17
BasicSolver/2D-mpi/dcavity.par
View File

@@ -26,21 +26,28 @@ p_init 0.0 # initial value for pressure
xlength 1.0 # domain size in x-direction
ylength 1.0 # domain size in y-direction
imax 80 # number of interior cells in x-direction
jmax 80 # number of interior cells in y-direction
imax 128 # number of interior cells in x-direction
jmax 128 # number of interior cells in y-direction
# Time Data:
# ---------
te 10.0 # final time
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
# Multigrid data:
# ---------
levels 2 # Multigrid levels
presmooth 20 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Pressure Iteration Data:
# -----------------------
itermax 1000 # maximal number of pressure iteration in one time step
eps 0.001 # stopping tolerance for pressure iteration
omg 1.9 # relaxation parameter for SOR iteration
omg 1.7 # relaxation parameter for SOR iteration
gamma 0.9 # upwind differencing factor gamma
#===============================================================================

9
BasicSolver/2D-mpi/residual.plot Normal file
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@@ -0,0 +1,9 @@
set terminal png size 1800,768 enhanced font ,12
set output 'residual.png'
set datafile separator whitespace
set xlabel "Timestep"
set ylabel "Residual"
set logscale y 2
plot 'residual.dat' using 1:2 title "Residual"

57
BasicSolver/2D-mpi/src/comm-v1.c
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@@ -14,7 +14,7 @@ static int sum(int* sizes, int position)
{
int sum = 0;
for (int i = 0; i < position; i++) {
for (int i = 0; i < position; i += position) {
sum += sizes[i];
}
@@ -67,6 +67,7 @@ int commIsBoundary(Comm* c, int direction)
void commExchange(Comm* c, double* grid)
{
// printf("Rank : %d In exchange \n", c->rank);
#ifdef _MPI
MPI_Request requests[4] = { MPI_REQUEST_NULL,
MPI_REQUEST_NULL,
@@ -173,9 +174,61 @@ void commPartition(Comm* c, int jmax, int imax)
{
#ifdef _MPI
c->imaxLocal = imax;
c->jmaxLocal = sizeOfRank(c->rank, c->size, jmax);
c->jmaxLocal = sizeOfRank(c->coords[JDIM], c->size, jmax);
c->neighbours[BOTTOM] = c->rank == 0 ? -1 : c->rank - 1;
c->neighbours[TOP] = c->rank == (c->size - 1) ? -1 : c->rank + 1;
c->neighbours[LEFT] = -1;
c->neighbours[RIGHT] = -1;
c->coords[IDIM] = 0;
c->coords[JDIM] = c->rank;
c->dims[IDIM] = 1;
c->dims[JDIM] = c->size;
#else
c->imaxLocal = imax;
c->jmaxLocal = jmax;
#endif
}
void commUpdateDatatypes(Comm* oldcomm, Comm* newcomm, int imaxLocal, int jmaxLocal)
{
#if defined _MPI
newcomm->comm = MPI_COMM_NULL;
int result = MPI_Comm_dup(MPI_COMM_WORLD, &newcomm->comm);
if (result == MPI_ERR_COMM) {
printf("\nNull communicator. Duplication failed !!\n");
}
newcomm->rank = oldcomm->rank;
newcomm->size = oldcomm->size;
newcomm->imaxLocal = imaxLocal / 2;
newcomm->jmaxLocal = jmaxLocal / 2;
newcomm->neighbours[BOTTOM] = newcomm->rank == 0 ? -1 : newcomm->rank - 1;
newcomm->neighbours[TOP] = newcomm->rank == (newcomm->size - 1) ? -1 : newcomm->rank + 1;
newcomm->neighbours[LEFT] = -1;
newcomm->neighbours[RIGHT] = -1;
newcomm->coords[IDIM] = 0;
newcomm->coords[JDIM] = newcomm->rank;
newcomm->dims[IDIM] = 1;
newcomm->dims[JDIM] = newcomm->size;
#endif
newcomm->imaxLocal = imaxLocal;
newcomm->jmaxLocal = jmaxLocal;
}
void commFreeCommunicator(Comm* comm)
{
#ifdef _MPI
MPI_Comm_free(&comm->comm);
#endif
}

71
BasicSolver/2D-mpi/src/comm-v2.c
View File

@@ -4,18 +4,18 @@
* Use of this source code is governed by a MIT style
* license that can be found in the LICENSE file.
*/
#include "comm.h"
#include <stdio.h>
#include <stdlib.h>
#include "comm.h"
#include <string.h>
#ifdef _MPI
// subroutines local to this module
static int sum(int* sizes, int position)
static int sum(int* sizes, int init, int offset, int coord)
{
int sum = 0;
for (int i = 0; i < position; i++) {
for (int i = init - offset; coord > 0; i -= offset, --coord) {
sum += sizes[i];
}
@@ -79,8 +79,8 @@ static void assembleResult(Comm* c, double* src, double* dst, int imax, int jmax
int newSizes[NDIMS] = { newSizesJ[i], newSizesI[i] };
int coords[NDIMS];
MPI_Cart_coords(c->comm, i, NDIMS, coords);
int starts[NDIMS] = { sum(newSizesJ, coords[JDIM]),
sum(newSizesI, coords[IDIM]) };
int starts[NDIMS] = { sum(newSizesJ, i, 1, coords[JDIM]),
sum(newSizesI, i, c->dims[JDIM], coords[IDIM]) };
printf(
"Rank: %d, Coords(i,j): %d %d, Size(i,j): %d %d, Target Size(i,j): %d %d "
"Starts(i,j): %d %d\n",
@@ -252,8 +252,8 @@ void commPartition(Comm* c, int jmax, int imax)
MPI_Cart_shift(c->comm, JDIM, 1, &c->neighbours[BOTTOM], &c->neighbours[TOP]);
MPI_Cart_get(c->comm, NDIMS, c->dims, periods, c->coords);
int imaxLocal = sizeOfRank(c->rank, dims[IDIM], imax);
int jmaxLocal = sizeOfRank(c->rank, dims[JDIM], jmax);
int imaxLocal = sizeOfRank(c->coords[IDIM], dims[IDIM], imax);
int jmaxLocal = sizeOfRank(c->coords[JDIM], dims[JDIM], jmax);
c->imaxLocal = imaxLocal;
c->jmaxLocal = jmaxLocal;
@@ -285,3 +285,58 @@ void commPartition(Comm* c, int jmax, int imax)
c->jmaxLocal = jmax;
#endif
}
void commUpdateDatatypes(Comm* oldcomm, Comm* newcomm, int imaxLocal, int jmaxLocal)
{
#if defined _MPI
newcomm->comm = MPI_COMM_NULL;
int result = MPI_Comm_dup(oldcomm->comm, &newcomm->comm);
if (result == MPI_ERR_COMM) {
printf("\nNull communicator. Duplication failed !!\n");
}
newcomm->rank = oldcomm->rank;
newcomm->size = oldcomm->size;
memcpy(&newcomm->neighbours, &oldcomm->neighbours, sizeof(oldcomm->neighbours));
memcpy(&newcomm->coords, &oldcomm->coords, sizeof(oldcomm->coords));
memcpy(&newcomm->dims, &oldcomm->dims, sizeof(oldcomm->dims));
newcomm->imaxLocal = imaxLocal/2;
newcomm->jmaxLocal = jmaxLocal/2;
MPI_Datatype jBufferType;
MPI_Type_contiguous(imaxLocal, MPI_DOUBLE, &jBufferType);
MPI_Type_commit(&jBufferType);
MPI_Datatype iBufferType;
MPI_Type_vector(jmaxLocal, 1, imaxLocal + 2, MPI_DOUBLE, &iBufferType);
MPI_Type_commit(&iBufferType);
newcomm->bufferTypes[LEFT] = iBufferType;
newcomm->bufferTypes[RIGHT] = iBufferType;
newcomm->bufferTypes[BOTTOM] = jBufferType;
newcomm->bufferTypes[TOP] = jBufferType;
newcomm->sdispls[LEFT] = (imaxLocal + 2) + 1;
newcomm->sdispls[RIGHT] = (imaxLocal + 2) + imaxLocal;
newcomm->sdispls[BOTTOM] = (imaxLocal + 2) + 1;
newcomm->sdispls[TOP] = jmaxLocal * (imaxLocal + 2) + 1;
newcomm->rdispls[LEFT] = (imaxLocal + 2);
newcomm->rdispls[RIGHT] = (imaxLocal + 2) + (imaxLocal + 1);
newcomm->rdispls[BOTTOM] = 1;
newcomm->rdispls[TOP] = (jmaxLocal + 1) * (imaxLocal + 2) + 1;
#else
newcomm->imaxLocal = imaxLocal;
newcomm->jmaxLocal = jmaxLocal;
#endif
}
void commFreeCommunicator(Comm* comm)
{
#ifdef _MPI
MPI_Comm_free(&comm->comm);
#endif
}

65
BasicSolver/2D-mpi/src/comm-v3.c
View File

@@ -11,11 +11,11 @@
#ifdef _MPI
// subroutines local to this module
static int sum(int* sizes, int position)
static int sum(int* sizes, int init, int offset, int coord)
{
int sum = 0;
for (int i = 0; i < position; i++) {
for (int i = init - offset; coord > 0; i -= offset, --coord) {
sum += sizes[i];
}
@@ -79,8 +79,8 @@ static void assembleResult(Comm* c, double* src, double* dst, int imax, int jmax
int newSizes[NDIMS] = { newSizesJ[i], newSizesI[i] };
int coords[NDIMS];
MPI_Cart_coords(c->comm, i, NDIMS, coords);
int starts[NDIMS] = { sum(newSizesJ, coords[JDIM]),
sum(newSizesI, coords[IDIM]) };
int starts[NDIMS] = { sum(newSizesJ, i, 1, coords[JDIM]),
sum(newSizesI, i, c->dims[JDIM], coords[IDIM]) };
printf(
"Rank: %d, Coords(i,j): %d %d, Size(i,j): %d %d, Target Size(i,j): %d %d "
"Starts(i,j): %d %d\n",
@@ -139,7 +139,6 @@ void commExchange(Comm* c, double* grid)
{
#ifdef _MPI
int counts[NDIRS] = { 1, 1, 1, 1 };
MPI_Neighbor_alltoallw(grid,
counts,
c->sdispls,
@@ -233,8 +232,8 @@ void commPartition(Comm* c, int jmax, int imax)
MPI_Cart_shift(c->comm, JDIM, 1, &c->neighbours[BOTTOM], &c->neighbours[TOP]);
MPI_Cart_get(c->comm, NDIMS, c->dims, periods, c->coords);
int imaxLocal = sizeOfRank(c->rank, dims[IDIM], imax);
int jmaxLocal = sizeOfRank(c->rank, dims[JDIM], jmax);
int imaxLocal = sizeOfRank(c->coords[IDIM], dims[IDIM], imax);
int jmaxLocal = sizeOfRank(c->coords[JDIM], dims[JDIM], jmax);
c->imaxLocal = imaxLocal;
c->jmaxLocal = jmaxLocal;
@@ -267,3 +266,55 @@ void commPartition(Comm* c, int jmax, int imax)
c->jmaxLocal = jmax;
#endif
}
void commUpdateDatatypes(Comm* oldcomm, Comm* newcomm, int imaxLocal, int jmaxLocal)
{
#if defined _MPI
int result = MPI_Comm_dup(oldcomm->comm, &newcomm->comm);
if (result == MPI_ERR_COMM) {
printf("\nNull communicator. Duplication failed !!\n");
}
newcomm->rank = oldcomm->rank;
newcomm->size = oldcomm->size;
newcomm->imaxLocal = imaxLocal / 2;
newcomm->jmaxLocal = jmaxLocal / 2;
MPI_Datatype jBufferType;
MPI_Type_contiguous(imaxLocal, MPI_DOUBLE, &jBufferType);
MPI_Type_commit(&jBufferType);
MPI_Datatype iBufferType;
MPI_Type_vector(jmaxLocal, 1, imaxLocal + 2, MPI_DOUBLE, &iBufferType);
MPI_Type_commit(&iBufferType);
newcomm->bufferTypes[LEFT] = iBufferType;
newcomm->bufferTypes[RIGHT] = iBufferType;
newcomm->bufferTypes[BOTTOM] = jBufferType;
newcomm->bufferTypes[TOP] = jBufferType;
newcomm->sdispls[LEFT] = (imaxLocal + 2) + 1;
newcomm->sdispls[RIGHT] = (imaxLocal + 2) + imaxLocal;
newcomm->sdispls[BOTTOM] = (imaxLocal + 2) + 1;
newcomm->sdispls[TOP] = jmaxLocal * (imaxLocal + 2) + 1;
newcomm->rdispls[LEFT] = (imaxLocal + 2);
newcomm->rdispls[RIGHT] = (imaxLocal + 2) + (imaxLocal + 1);
newcomm->rdispls[BOTTOM] = 1;
newcomm->rdispls[TOP] = (jmaxLocal + 1) * (imaxLocal + 2) + 1;
#else
newcomm->imaxLocal = imaxLocal;
newcomm->jmaxLocal = jmaxLocal;
#endif
}
void commFreeCommunicator(Comm* comm)
{
#ifdef _MPI
MPI_Comm_free(&comm->comm);
#endif
}

2
BasicSolver/2D-mpi/src/comm.h
View File

@@ -41,6 +41,8 @@ extern void commExchange(Comm*, double*);
extern void commShift(Comm* c, double* f, double* g);
extern void commReduction(double* v, int op);
extern int commIsBoundary(Comm* c, int direction);
extern void commUpdateDatatypes(Comm*, Comm*, int, int);
extern void commFreeCommunicator(Comm*);
extern void commCollectResult(Comm* c,
double* ug,
double* vg,

7
BasicSolver/2D-mpi/src/discretization.c
View File

@@ -273,17 +273,18 @@ void setSpecialBoundaryCondition(Discretization* s)
if (commIsBoundary(&s->comm, LEFT)) {
double ylength = s->grid.ylength;
double dy = s->grid.dy;
int rest = s->grid.jmax % s->comm.size;
int yc = s->comm.rank * (s->grid.jmax / s->comm.size) +
int rest = s->grid.jmax % s->comm.dims[JDIM];
int yc = s->comm.rank * (s->grid.jmax / s->comm.dims[JDIM]) +
MIN(rest, s->comm.rank);
double ys = dy * (yc + 0.5);
double y;
/* printf("RANK %d yc: %d ys: %f\n", solver->rank, yc, ys); */
// printf("RANK %d yc: %d ys: %f\n", s->comm.rank, yc, ys);
for (int j = 1; j < jmaxLocal + 1; j++) {
y = ys + dy * (j - 0.5);
U(0, j) = y * (ylength - y) * 4.0 / (ylength * ylength);
}
}
}

16
BasicSolver/2D-mpi/src/main.c
View File

@@ -26,7 +26,9 @@ static void writeResults(Discretization* s)
double* pg = allocate(64, bytesize);
commCollectResult(&s->comm, ug, vg, pg, s->u, s->v, s->p, s->grid.imax, s->grid.jmax);
writeResult(s, ug, vg, pg);
if (commIsMaster(&s->comm)) {
writeResult(s, ug, vg, pg);
}
free(ug);
free(vg);
@@ -47,6 +49,9 @@ int main(int argc, char** argv)
commInit(&d.comm, argc, argv);
initParameter(&p);
FILE* fp;
if (commIsMaster(&d.comm)) fp = initResidualWriter();
if (argc != 2) {
printf("Usage: %s <configFile>\n", argv[0]);
exit(EXIT_SUCCESS);
@@ -77,16 +82,21 @@ int main(int argc, char** argv)
double tau = d.tau;
double te = d.te;
double t = 0.0;
double res = 0.0;
timeStart = getTimeStamp();
while (t <= te) {
if (tau > 0.0) computeTimestep(&d);
setBoundaryConditions(&d);
setSpecialBoundaryCondition(&d);
computeFG(&d);
computeRHS(&d);
solve(&s, d.p, d.rhs);
res = solve(&s, d.p, d.rhs);
adaptUV(&d);
if (commIsMaster(&d.comm)) writeResidual(fp, t, res);
t += d.dt;
#ifdef VERBOSE
@@ -104,7 +114,7 @@ int main(int argc, char** argv)
if (commIsMaster(s.comm)) {
printf("Solution took %.2fs\n", timeStop - timeStart);
}
if (commIsMaster(&d.comm)) fclose(fp);
writeResults(&d);
commFinalize(s.comm);
return EXIT_SUCCESS;

20
BasicSolver/2D-mpi/src/parameter.c
View File

@@ -14,13 +14,16 @@
void initParameter(Parameter* param)
{
param->xlength = 1.0;
param->ylength = 1.0;
param->imax = 100;
param->jmax = 100;
param->itermax = 1000;
param->eps = 0.0001;
param->omg = 1.8;
param->xlength = 1.0;
param->ylength = 1.0;
param->imax = 100;
param->jmax = 100;
param->itermax = 1000;
param->eps = 0.0001;
param->omg = 1.8;
param->levels = 5;
param->presmooth = 5;
param->postsmooth = 5;
}
void readParameter(Parameter* param, const char* filename)
@@ -72,6 +75,9 @@ void readParameter(Parameter* param, const char* filename)
PARSE_INT(bcRight);
PARSE_INT(bcBottom);
PARSE_INT(bcTop);
PARSE_INT(levels);
PARSE_INT(presmooth);
PARSE_INT(postsmooth);
PARSE_REAL(u_init);
PARSE_REAL(v_init);
PARSE_REAL(p_init);

1
BasicSolver/2D-mpi/src/parameter.h
View File

@@ -18,6 +18,7 @@ typedef struct {
char* name;
int bcLeft, bcRight, bcBottom, bcTop;
double u_init, v_init, p_init;
int levels, presmooth, postsmooth;
} Parameter;
void initParameter(Parameter*);

21
BasicSolver/2D-mpi/src/progress.c
View File

@@ -8,7 +8,7 @@
#include <mpi.h>
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include "progress.h"
static double _end;
@@ -49,3 +49,22 @@ void stopProgress()
printf("\n");
fflush(stdout);
}
FILE* initResidualWriter()
{
FILE* fp;
fp = fopen("residual.dat", "w");
if (fp == NULL) {
printf("Error!\n");
exit(EXIT_FAILURE);
}
return fp;
}
void writeResidual(FILE* fp, double ts, double res)
{
fprintf(fp, "%f, %f\n", ts, res);
}

3
BasicSolver/2D-mpi/src/progress.h
View File

@@ -10,5 +10,6 @@
extern void initProgress(double);
extern void printProgress(double);
extern void stopProgress();
extern FILE* initResidualWriter(void);
extern void writeResidual(FILE*, double, double);
#endif

302
BasicSolver/2D-mpi/src/solver-mg.c Normal file
View File

@@ -0,0 +1,302 @@
/*
* Copyright (C) NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved. This file is part of nusif-solver.
* Use of this source code is governed by a MIT style
* license that can be found in the LICENSE file.
*/
#include <stdio.h>
#include <stdlib.h>
#include "allocate.h"
#include "solver.h"
#include "util.h"
#define FINEST_LEVEL 0
#define COARSEST_LEVEL (s->levels - 1)
// #define S(i, j) s[(j) * (imaxLocal + 2) + (i)]
#define E(i, j) e[(j) * (imaxLocal + 2) + (i)]
#define R(i, j) r[(j) * (imaxLocal + 2) + (i)]
#define OLD(i, j) old[(j) * (imaxLocal + 2) + (i)]
static void restrictMG(Solver* s, int level, Comm* comm)
{
int imaxLocal = comm->imaxLocal;
int jmaxLocal = comm->jmaxLocal;
double* r = s->r[level + 1];
double* old = s->r[level];
#ifdef _MPI
commExchange(comm, old);
#endif
for (int j = 1; j < (jmaxLocal / 2) + 1; j++) {
for (int i = 1; i < (imaxLocal / 2) + 1; i++) {
R(i, j) = (OLD(2 * i - 1, 2 * j - 1) + OLD(2 * i, 2 * j - 1) * 2 +
OLD(2 * i + 1, 2 * j - 1) + OLD(2 * i - 1, 2 * j) * 2 +
OLD(2 * i, 2 * j) * 4 + OLD(2 * i + 1, 2 * j) * 2 +
OLD(2 * i - 1, 2 * j + 1) + OLD(2 * i, 2 * j + 1) * 2 +
OLD(2 * i + 1, 2 * j + 1)) /
16.0;
}
}
}
static void prolongate(Solver* s, int level, Comm* comm)
{
int imaxLocal = comm->imaxLocal;
int jmaxLocal = comm->jmaxLocal;
double* old = s->r[level + 1];
double* e = s->r[level];
for (int j = 2; j < jmaxLocal + 1; j += 2) {
for (int i = 2; i < imaxLocal + 1; i += 2) {
E(i, j) = OLD(i / 2, j / 2);
}
}
}
static void correct(Solver* s, double* p, int level, Comm* comm)
{
double* e = s->e[level];
int imaxLocal = comm->imaxLocal;
int jmaxLocal = comm->jmaxLocal;
for (int j = 1; j < jmaxLocal + 1; ++j) {
for (int i = 1; i < imaxLocal + 1; ++i) {
P(i, j) += E(i, j);
}
}
}
static void setBoundaryCondition(Solver* s, double* p, int imaxLocal, int jmaxLocal)
{
#ifdef _MPI
if (commIsBoundary(s->comm, BOTTOM)) { // set bottom bc
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, 0) = P(i, 1);
}
}
if (commIsBoundary(s->comm, TOP)) { // set top bc
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, jmaxLocal + 1) = P(i, jmaxLocal);
}
}
if (commIsBoundary(s->comm, LEFT)) { // set left bc
for (int j = 1; j < jmaxLocal + 1; j++) {
P(0, j) = P(1, j);
}
}
if (commIsBoundary(s->comm, RIGHT)) { // set right bc
for (int j = 1; j < jmaxLocal + 1; j++) {
P(imaxLocal + 1, j) = P(imaxLocal, j);
}
}
#else
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, 0) = P(i, 1);
P(i, jmaxLocal + 1) = P(i, jmaxLocal);
}
for (int j = 1; j < jmaxLocal + 1; j++) {
P(0, j) = P(1, j);
P(imaxLocal + 1, j) = P(imaxLocal, j);
}
#endif
}
static double smooth(Solver* s, double* p, double* rhs, int level, Comm* comm)
{
int imaxLocal = comm->imaxLocal;
int jmaxLocal = comm->jmaxLocal;
int imax = s->grid->imax;
int jmax = s->grid->jmax;
double dx2 = s->grid->dx * s->grid->dx;
double dy2 = s->grid->dy * s->grid->dy;
double idx2 = 1.0 / dx2;
double idy2 = 1.0 / dy2;
double factor = s->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
double* r = s->r[level];
double res = 1.0;
int pass, jsw, isw;
jsw = 1;
for (pass = 0; pass < 2; pass++) {
isw = jsw;
#ifdef _MPI
commExchange(comm, p);
#endif
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = isw; i < imaxLocal + 1; i += 2) {
P(i, j) -= factor *
(RHS(i, j) -
((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
(P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2));
}
isw = 3 - isw;
}
jsw = 3 - jsw;
}
}
static double calculateResidual(Solver* s, double* p, double* rhs, int level, Comm* comm)
{
int imax = s->grid->imax;
int jmax = s->grid->jmax;
int imaxLocal = comm->imaxLocal;
int jmaxLocal = comm->jmaxLocal;
double dx2 = s->grid->dx * s->grid->dx;
double dy2 = s->grid->dy * s->grid->dy;
double idx2 = 1.0 / dx2;
double idy2 = 1.0 / dy2;
double factor = s->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
double* r = s->r[level];
double res = 1.0;
int pass, jsw, isw;
jsw = 1;
for (pass = 0; pass < 2; pass++) {
isw = jsw;
#ifdef _MPI
commExchange(comm, p);
#endif
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = isw; i < imaxLocal + 1; i += 2) {
R(i, j) = RHS(i, j) -
((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
(P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
res += (R(i, j) * R(i, j));
}
isw = 3 - isw;
}
jsw = 3 - jsw;
}
#ifdef _MPI
commReduction(&res, SUM);
#endif
res = res / (double)(imax * jmax);
#ifdef DEBUG
if (commIsMaster(s->comm)) {
printf("%d Residuum: %e\n", it, res);
}
#endif
return res;
}
static double multiGrid(Solver* s, double* p, double* rhs, int level, Comm* comm)
{
double res = 0.0;
// coarsest level
if (level == COARSEST_LEVEL) {
for (int i = 0; i < 5; i++) {
smooth(s, p, rhs, level, comm);
}
return res;
}
// pre-smoothing
for (int i = 0; i < s->presmooth; i++) {
smooth(s, p, rhs, level, comm);
if (level == FINEST_LEVEL)
setBoundaryCondition(s, p, comm->imaxLocal, comm->jmaxLocal);
}
// calculate residuals
res = calculateResidual(s, p, rhs, level, comm);
// restrict
restrictMG(s, level, comm);
Comm newcomm;
commUpdateDatatypes(s->comm, &newcomm, comm->imaxLocal, comm->jmaxLocal);
// MGSolver on residual and error.
multiGrid(s, s->e[level + 1], s->r[level + 1], level + 1, &newcomm);
commFreeCommunicator(&newcomm);
// prolongate
prolongate(s, level, comm);
// correct p on finer level using residual
correct(s, p, level, comm);
if (level == FINEST_LEVEL)
setBoundaryCondition(s, p, comm->imaxLocal, comm->jmaxLocal);
// post-smoothing
for (int i = 0; i < s->postsmooth; i++) {
smooth(s, p, rhs, level, comm);
if (level == FINEST_LEVEL)
setBoundaryCondition(s, p, comm->imaxLocal, comm->jmaxLocal);
}
return res;
}
void initSolver(Solver* s, Discretization* d, Parameter* p)
{
s->eps = p->eps;
s->omega = p->omg;
s->itermax = p->itermax;
s->levels = p->levels;
s->grid = &d->grid;
s->comm = &d->comm;
s->presmooth = p->presmooth;
s->postsmooth = p->postsmooth;
int imax = s->grid->imax;
int jmax = s->grid->jmax;
int levels = s->levels;
printf("Using Multigrid solver with %d levels\n", levels);
s->r = malloc(levels * sizeof(double*));
s->e = malloc(levels * sizeof(double*));
size_t size = (imax + 2) * (jmax + 2) * sizeof(double);
for (int j = 0; j < levels; j++) {
s->r[j] = allocate(64, size);
s->e[j] = allocate(64, size);
for (int i = 0; i < (imax + 2) * (jmax + 2); i++) {
s->r[j][i] = 0.0;
s->e[j][i] = 0.0;
}
}
}
double solve(Solver* s, double* p, double* rhs)
{
double res = multiGrid(s, p, rhs, 0, s->comm);
#ifdef VERBOSE
if (commIsMaster(s->comm)) {
printf("Residuum: %.6f\n", res);
}
#endif
return res;
}

106
BasicSolver/2D-mpi/src/solver-rb.c Normal file
View File

@@ -0,0 +1,106 @@
/*
* Copyright (C) NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved. This file is part of nusif-solver.
* Use of this source code is governed by a MIT style
* license that can be found in the LICENSE file.
*/
#include <math.h>
#include <stdio.h>
#include "allocate.h"
#include "comm.h"
#include "discretization.h"
#include "parameter.h"
#include "solver.h"
#include "util.h"
void initSolver(Solver* s, Discretization* d, Parameter* p)
{
s->grid = &d->grid;
s->eps = p->eps;
s->omega = p->omg;
s->itermax = p->itermax;
s->comm = &d->comm;
}
double solve(Solver* s, double* p, double* rhs)
{
int imax = s->grid->imax;
int jmax = s->grid->jmax;
int imaxLocal = s->comm->imaxLocal;
int jmaxLocal = s->comm->jmaxLocal;
double eps = s->eps;
int itermax = s->itermax;
double dx2 = s->grid->dx * s->grid->dx;
double dy2 = s->grid->dy * s->grid->dy;
double idx2 = 1.0 / dx2;
double idy2 = 1.0 / dy2;
double factor = s->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
double epssq = eps * eps;
int pass, jsw, isw;
int it = 0;
double res = 1.0;
while ((res >= epssq) && (it < itermax)) {
jsw = 1;
for (pass = 0; pass < 2; pass++) {
isw = jsw;
commExchange(s->comm, p);
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = isw; i < imaxLocal + 1; i += 2) {
double r = RHS(i, j) -
((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
(P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
P(i, j) -= (factor * r);
res += (r * r);
}
isw = 3 - isw;
}
jsw = 3 - jsw;
}
if (commIsBoundary(s->comm, BOTTOM)) { // set bottom bc
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, 0) = P(i, 1);
}
}
if (commIsBoundary(s->comm, TOP)) { // set top bc
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, jmaxLocal + 1) = P(i, jmaxLocal);
}
}
if (commIsBoundary(s->comm, LEFT)) { // set left bc
for (int j = 1; j < jmaxLocal + 1; j++) {
P(0, j) = P(1, j);
}
}
if (commIsBoundary(s->comm, RIGHT)) { // set right bc
for (int j = 1; j < jmaxLocal + 1; j++) {
P(imaxLocal + 1, j) = P(imaxLocal, j);
}
}
commReduction(&res, SUM);
res = res / (double)(imax * jmax);
#ifdef DEBUG
if (commIsMaster(s->comm)) {
printf("%d Residuum: %e\n", it, res);
}
#endif
it++;
}
#ifdef VERBOSE
if (commIsMaster(s->comm)) {
printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
}
#endif
return res;
}

5
BasicSolver/2D-mpi/src/solver.h
View File

@@ -9,6 +9,7 @@
#include "comm.h"
#include "discretization.h"
#include "grid.h"
#include "mpi.h"
#include "parameter.h"
typedef struct {
@@ -17,10 +18,12 @@ typedef struct {
/* parameters */
double eps, omega;
int itermax;
int levels, presmooth, postsmooth;
double **r, **e;
/* communication */
Comm* comm;
} Solver;
void initSolver(Solver*, Discretization*, Parameter*);
void solve(Solver*, double*, double*);
double solve(Solver*, double*, double*);
#endif

17
BasicSolver/2D-seq/Makefile
View File

@@ -38,9 +38,22 @@ $(BUILD_DIR)/%.s: %.c
$(info ===> GENERATE ASM $@)
$(CC) -S $(CPPFLAGS) $(CFLAGS) $< -o $@
.PHONY: clean distclean tags info asm format
.PHONY: clean distclean vis vis_clean tags info asm format
clean:
vis:
$(info ===> GENERATE VISUALIZATION)
@gnuplot -e "filename='pressure.dat'" ./surface.plot
@gnuplot -e "filename='velocity.dat'" ./vector.plot
@gnuplot -e "filename='residual.dat'" ./residual.plot
vis_clean:
$(info ===> CLEAN VISUALIZATION)
@rm -f *.dat
@rm -f *.png
@rm -f ./vis_files/*.dat
@rm -f ./vis_files/*.gif
clean: vis_clean
$(info ===> CLEAN)
@rm -rf $(BUILD_DIR)
@rm -f tags

7
BasicSolver/2D-seq/canal.par
View File

@@ -36,6 +36,13 @@ te 100.0 # final time
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
# Multigrid data:
# ---------
levels 3 # Multigrid levels
presmooth 5 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Pressure Iteration Data:
# -----------------------

6
BasicSolver/2D-seq/config.mk
View File

@@ -1,12 +1,12 @@
# Supported: GCC, CLANG, ICC
TAG ?= CLANG
TAG ?= ICC
ENABLE_OPENMP ?= false
# Supported: sor, rb, mg
SOLVER ?= rb
SOLVER ?= mg
# Run in debug settings
DEBUG ?= false
#Feature options
OPTIONS += -DARRAY_ALIGNMENT=64
#OPTIONS += -DVERBOSE
OPTIONS += -DVERBOSE
#OPTIONS += -DDEBUG

8
BasicSolver/2D-seq/dcavity.par
View File

@@ -36,6 +36,13 @@ te 10.0 # final time
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
# Multigrid data:
# ---------
levels 2 # Multigrid levels
presmooth 20 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Solver Data:
# -----------------------
@@ -44,5 +51,4 @@ eps 0.001 # stopping tolerance for pressure iteration
rho 0.5
omg 1.7 # relaxation parameter for SOR iteration
gamma 0.9 # upwind differencing factor gamma
levels 5 # Multigrid levels
#===============================================================================

9
BasicSolver/2D-seq/residual.plot Normal file
View File

@@ -0,0 +1,9 @@
set terminal png size 1800,768 enhanced font ,12
set output 'residual.png'
set datafile separator whitespace
set xlabel "Timestep"
set ylabel "Residual"
set logscale y 2
plot 'residual.dat' using 1:2 title "Residual"

17
BasicSolver/2D-seq/src/main.c
View File

@@ -20,8 +20,10 @@ int main(int argc, char** argv)
Parameter p;
Discretization d;
Solver s;
initParameter(&p);
FILE* fp;
fp = initResidualWriter();
if (argc != 2) {
printf("Usage: %s <configFile>\n", argv[0]);
@@ -32,7 +34,7 @@ int main(int argc, char** argv)
printParameter(&p);
initDiscretization(&d, &p);
initSolver(&s, &d, &p);
#ifndef VERBOSE
initProgress(d.te);
#endif
@@ -41,8 +43,9 @@ int main(int argc, char** argv)
double te = d.te;
double t = 0.0;
int nt = 0;
double res = 0.0;
timeStart = getTimeStamp();
timeStart = getTimeStamp();
while (t <= te) {
if (tau > 0.0) computeTimestep(&d);
setBoundaryConditions(&d);
@@ -50,17 +53,21 @@ int main(int argc, char** argv)
computeFG(&d);
computeRHS(&d);
if (nt % 100 == 0) normalizePressure(&d);
solve(&s, d.p, d.rhs);
res = solve(&s, d.p, d.rhs);
adaptUV(&d);
writeResidual(fp, t, res);
t += d.dt;
nt++;
#ifdef VERBOSE
printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
printf("TIME %f , TIMESTEP %f\n", t, d.dt);
#else
printProgress(t);
#endif
}
fclose(fp);
timeStop = getTimeStamp();
stopProgress();
printf("Solution took %.2fs\n", timeStop - timeStart);

4
BasicSolver/2D-seq/src/parameter.c
View File

@@ -24,6 +24,8 @@ void initParameter(Parameter* param)
param->gamma = 0.9;
param->tau = 0.5;
param->levels = 5;
param->presmooth = 5;
param->postsmooth = 5;
}
void readParameter(Parameter* param, const char* filename)
@@ -79,6 +81,8 @@ void readParameter(Parameter* param, const char* filename)
PARSE_REAL(u_init);
PARSE_REAL(v_init);
PARSE_REAL(p_init);
PARSE_INT(presmooth);
PARSE_INT(postsmooth);
}
}

1
BasicSolver/2D-seq/src/parameter.h
View File

@@ -18,6 +18,7 @@ typedef struct {
char* name;
int bcLeft, bcRight, bcBottom, bcTop;
double u_init, v_init, p_init;
int presmooth, postsmooth;
} Parameter;
void initParameter(Parameter*);

19
BasicSolver/2D-seq/src/progress.c
View File

@@ -49,3 +49,22 @@ void stopProgress()
printf("\n");
fflush(stdout);
}
FILE* initResidualWriter()
{
FILE* fp;
fp = fopen("residual.dat", "w");
if (fp == NULL) {
printf("Error!\n");
exit(EXIT_FAILURE);
}
return fp;
}
void writeResidual(FILE* fp, double ts, double res)
{
fprintf(fp, "%f, %f\n", ts, res);
}

2
BasicSolver/2D-seq/src/progress.h
View File

@@ -10,5 +10,7 @@
extern void initProgress(double);
extern void printProgress(double);
extern void stopProgress(void);
extern FILE* initResidualWriter(void);
extern void writeResidual(FILE*, double, double);
#endif

51
BasicSolver/2D-seq/src/solver-mg.c
View File

@@ -84,6 +84,37 @@ static double smooth(Solver* s, double* p, double* rhs, int level, int imax, int
jsw = 1;
for (pass = 0; pass < 2; pass++) {
isw = jsw;
for (int j = 1; j < jmax + 1; j++) {
for (int i = isw; i < imax + 1; i += 2) {
P(i, j) -= factor * (RHS(i, j) -
((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
(P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2));
}
isw = 3 - isw;
}
jsw = 3 - jsw;
}
}
static double calculateResidual(Solver* s, double* p, double* rhs, int level, int imax, int jmax)
{
double dx2 = s->grid->dx * s->grid->dx;
double dy2 = s->grid->dy * s->grid->dy;
double idx2 = 1.0 / dx2;
double idy2 = 1.0 / dy2;
double factor = s->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
double* r = s->r[level];
double res = 1.0;
int pass, jsw, isw;
jsw = 1;
for (pass = 0; pass < 2; pass++) {
isw = jsw;
@@ -94,7 +125,6 @@ static double smooth(Solver* s, double* p, double* rhs, int level, int imax, int
((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
(P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
P(i, j) -= (factor * R(i, j));
res += (R(i, j) * R(i, j));
}
isw = 3 - isw;
@@ -110,7 +140,7 @@ static double multiGrid(Solver* s, double* p, double* rhs, int level, int imax,
{
double res = 0.0;
// coarsest level TODO: Use direct solver?
// coarsest level
if (level == COARSEST_LEVEL) {
for (int i = 0; i < 5; i++) {
smooth(s, p, rhs, level, imax, jmax);
@@ -118,17 +148,18 @@ static double multiGrid(Solver* s, double* p, double* rhs, int level, int imax,
return res;
}
// pre-smoothing TODO: Make smoothing steps configurable?
for (int i = 0; i < 5; i++) {
// pre-smoothing
for (int i = 0; i < s->presmooth; i++) {
smooth(s, p, rhs, level, imax, jmax);
if (level == FINEST_LEVEL) setBoundaryCondition(p, imax, jmax);
}
res = calculateResidual(s, p, rhs, level, imax, jmax);
// restrict
restrictMG(s, level, imax, jmax);
// MGSolver on residual and error.
// TODO: What if there is a rest?
multiGrid(s, s->e[level + 1], s->r[level + 1], level + 1, imax / 2, jmax / 2);
// prolongate
@@ -139,8 +170,8 @@ static double multiGrid(Solver* s, double* p, double* rhs, int level, int imax,
if (level == FINEST_LEVEL) setBoundaryCondition(p, imax, jmax);
// post-smoothing
for (int i = 0; i < 5; i++) {
res = smooth(s, p, rhs, level, imax, jmax);
for (int i = 0; i < s->postsmooth; i++) {
smooth(s, p, rhs, level, imax, jmax);
if (level == FINEST_LEVEL) setBoundaryCondition(p, imax, jmax);
}
@@ -154,6 +185,8 @@ void initSolver(Solver* s, Discretization* d, Parameter* p)
s->itermax = p->itermax;
s->levels = p->levels;
s->grid = &d->grid;
s->presmooth = p->presmooth;
s->postsmooth = p->postsmooth;
int imax = s->grid->imax;
int jmax = s->grid->jmax;
@@ -176,11 +209,13 @@ void initSolver(Solver* s, Discretization* d, Parameter* p)
}
}
void solve(Solver* s, double* p, double* rhs)
double solve(Solver* s, double* p, double* rhs)
{
double res = multiGrid(s, p, rhs, 0, s->grid->imax, s->grid->jmax);
#ifdef VERBOSE
printf("Residuum: %.6f\n", res);
#endif
return res;
}

4
BasicSolver/2D-seq/src/solver-rb.c
View File

@@ -15,7 +15,7 @@ void initSolver(Solver* s, Discretization* d, Parameter* p)
s->omega = p->omg;
}
void solve(Solver* solver, double* p, double* rhs)
double solve(Solver* solver, double* p, double* rhs)
{
int imax = solver->grid->imax;
int jmax = solver->grid->jmax;
@@ -73,4 +73,6 @@ void solve(Solver* solver, double* p, double* rhs)
#ifdef VERBOSE
printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
#endif
return res;
}

4
BasicSolver/2D-seq/src/solver-sor.c
View File

@@ -15,7 +15,7 @@ void initSolver(Solver* s, Discretization* d, Parameter* p)
s->omega = p->omg;
}
void solve(Solver* solver, double* p, double* rhs)
double solve(Solver* solver, double* p, double* rhs)
{
int imax = solver->grid->imax;
int jmax = solver->grid->jmax;
@@ -65,4 +65,6 @@ void solve(Solver* solver, double* p, double* rhs)
#ifdef VERBOSE
printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
#endif
return res;
}

3
BasicSolver/2D-seq/src/solver.h
View File

@@ -18,9 +18,10 @@ typedef struct {
int itermax;
int levels;
double **r, **e;
int presmooth, postsmooth;
} Solver;
extern void initSolver(Solver*, Discretization*, Parameter*);
extern void solve(Solver*, double*, double*);
extern double solve(Solver*, double*, double*);
#endif

15
BasicSolver/3D-mpi/Makefile
View File

@@ -22,6 +22,7 @@ SRC = $(filter-out $(wildcard $(SRC_DIR)/*-*.c),$(wildcard $(SRC_DIR)/*.c)
ASM = $(patsubst $(SRC_DIR)/%.c, $(BUILD_DIR)/%.s, $(SRC))
OBJ = $(patsubst $(SRC_DIR)/%.c, $(BUILD_DIR)/%.o, $(SRC))
OBJ += $(BUILD_DIR)/vtkWriter-$(VTK_OUTPUT_FMT).o
OBJ += $(BUILD_DIR)/solver-$(SOLVER).o
SOURCES = $(SRC) $(wildcard $(SRC_DIR)/*.h)
ifeq ($(VTK_OUTPUT_FMT),mpi)
DEFINES += -D_VTK_WRITER_MPI
@@ -42,9 +43,19 @@ $(BUILD_DIR)/%.s: %.c
$(info ===> GENERATE ASM $@)
$(CC) -S $(CPPFLAGS) $(CFLAGS) $< -o $@
.PHONY: clean distclean tags info asm format
.PHONY: clean distclean vis vis_clean tags info asm format
clean:
vis:
$(info ===> GENERATE VISUALIZATION)
@gnuplot -e "filename='residual.dat'" ./residual.plot
vis_clean:
$(info ===> CLEAN VISUALIZATION)
@rm -f *.dat
@rm -f *.vtk
@rm -f *.png
clean: vis_clean
$(info ===> CLEAN)
@rm -rf $(BUILD_DIR)
@rm -f tags

15
BasicSolver/3D-mpi/canal.par
View File

@@ -32,21 +32,28 @@ xlength 30.0 # domain size in x-direction
ylength 4.0 # domain size in y-direction
zlength 4.0 # domain size in z-direction
imax 200 # number of interior cells in x-direction
jmax 50 # number of interior cells in y-direction
kmax 50 # number of interior cells in z-direction
jmax 40 # number of interior cells in y-direction
kmax 40 # number of interior cells in z-direction
# Time Data:
# ---------
te 100.0 # final time
te 60.0 # final time
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
# Multigrid data:
# ---------
levels 2 # Multigrid levels
presmooth 20 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Pressure Iteration Data:
# -----------------------
itermax 500 # maximal number of pressure iteration in one time step
eps 0.0001 # stopping tolerance for pressure iteration
omg 1.3 # relaxation parameter for SOR iteration
omg 1.7 # relaxation parameter for SOR iteration
gamma 0.9 # upwind differencing factor gamma
#===============================================================================

5
BasicSolver/3D-mpi/config.mk
View File

@@ -1,7 +1,10 @@
# Supported: GCC, CLANG, ICC
TAG ?= CLANG
TAG ?= ICC
# Supported: true, false
ENABLE_MPI ?= true
ENABLE_OPENMP ?= false
# Supported: rb, mg
SOLVER ?= mg
# Supported: seq, mpi
VTK_OUTPUT_FMT ?= seq

9
BasicSolver/3D-mpi/dcavity.par
View File

@@ -18,7 +18,7 @@ gx 0.0 # Body forces (e.g. gravity)
gy 0.0 #
gz 0.0 #
re 1000.0 # Reynolds number
re 1000.0 # Reynolds number
u_init 0.0 # initial value for velocity in x-direction
v_init 0.0 # initial value for velocity in y-direction
@@ -42,6 +42,13 @@ te 10.0 # final time
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
# Multigrid data:
# ---------
levels 3 # Multigrid levels
presmooth 20 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Pressure Iteration Data:
# -----------------------

9
BasicSolver/3D-mpi/residual.plot Normal file
View File

@@ -0,0 +1,9 @@
set terminal png size 1800,768 enhanced font ,12
set output 'residual.png'
set datafile separator whitespace
set xlabel "Timestep"
set ylabel "Residual"
set logscale y 2
plot 'residual.dat' using 1:2 title "Residual"

66
BasicSolver/3D-mpi/src/comm.c
View File

@@ -167,11 +167,12 @@ static void assembleResult(Comm* c,
MPI_Waitall(numRequests, requests, MPI_STATUSES_IGNORE);
}
static int sum(int* sizes, int position)
// subroutines local to this module
static int sum(int* sizes, int init, int offset, int coord)
{
int sum = 0;
for (int i = 0; i < position; i++) {
for (int i = init - offset; coord > 0; i -= offset, --coord) {
sum += sizes[i];
}
@@ -336,7 +337,6 @@ void commCollectResult(Comm* c,
int imaxLocal = c->imaxLocal;
int jmaxLocal = c->jmaxLocal;
int kmaxLocal = c->kmaxLocal;
#if defined(_MPI)
int offset[c->size * NDIMS];
int imaxLocalAll[c->size];
@@ -351,9 +351,13 @@ void commCollectResult(Comm* c,
for (int i = 0; i < c->size; i++) {
int coords[NCORDS];
MPI_Cart_coords(c->comm, i, NDIMS, coords);
offset[i * NDIMS + IDIM] = sum(imaxLocalAll, coords[ICORD]);
offset[i * NDIMS + JDIM] = sum(jmaxLocalAll, coords[JCORD]);
offset[i * NDIMS + KDIM] = sum(kmaxLocalAll, coords[KCORD]);
offset[i * NDIMS + IDIM] = sum(imaxLocalAll,
i,
c->dims[IDIM] * c->dims[JDIM],
coords[ICORD]);
offset[i * NDIMS + JDIM] = sum(jmaxLocalAll, i, c->dims[IDIM], coords[JCORD]);
offset[i * NDIMS + KDIM] = sum(kmaxLocalAll, i, 1, coords[KCORD]);
printf("Rank: %d, Coords(k,j,i): %d %d %d, Size(k,j,i): %d %d %d, "
"Offset(k,j,i): %d %d %d\n",
i,
@@ -562,9 +566,9 @@ void commPartition(Comm* c, int kmax, int jmax, int imax)
MPI_Cart_shift(c->comm, KCORD, 1, &c->neighbours[FRONT], &c->neighbours[BACK]);
MPI_Cart_get(c->comm, NCORDS, c->dims, periods, c->coords);
c->imaxLocal = sizeOfRank(c->rank, dims[ICORD], imax);
c->jmaxLocal = sizeOfRank(c->rank, dims[JCORD], jmax);
c->kmaxLocal = sizeOfRank(c->rank, dims[KCORD], kmax);
c->imaxLocal = sizeOfRank(c->coords[KDIM], dims[ICORD], imax);
c->jmaxLocal = sizeOfRank(c->coords[JDIM], dims[JCORD], jmax);
c->kmaxLocal = sizeOfRank(c->coords[IDIM], dims[KCORD], kmax);
// setup buffer types for communication
setupCommunication(c, LEFT, BULK);
@@ -597,3 +601,47 @@ void commFinalize(Comm* c)
MPI_Finalize();
#endif
}
void commUpdateDatatypes(
Comm* oldcomm, Comm* newcomm, int imaxLocal, int jmaxLocal, int kmaxLocal)
{
#if defined _MPI
int result = MPI_Comm_dup(oldcomm->comm, &newcomm->comm);
if (result == MPI_ERR_COMM) {
printf("\nNull communicator. Duplication failed !!\n");
}
newcomm->rank = oldcomm->rank;
newcomm->size = oldcomm->size;
newcomm->imaxLocal = imaxLocal / 2;
newcomm->jmaxLocal = jmaxLocal / 2;
newcomm->kmaxLocal = kmaxLocal / 2;
setupCommunication(newcomm, LEFT, BULK);
setupCommunication(newcomm, LEFT, HALO);
setupCommunication(newcomm, RIGHT, BULK);
setupCommunication(newcomm, RIGHT, HALO);
setupCommunication(newcomm, BOTTOM, BULK);
setupCommunication(newcomm, BOTTOM, HALO);
setupCommunication(newcomm, TOP, BULK);
setupCommunication(newcomm, TOP, HALO);
setupCommunication(newcomm, FRONT, BULK);
setupCommunication(newcomm, FRONT, HALO);
setupCommunication(newcomm, BACK, BULK);
setupCommunication(newcomm, BACK, HALO);
#else
newcomm->imaxLocal = imaxLocal;
newcomm->jmaxLocal = jmaxLocal;
newcomm->kmaxLocal = kmaxLocal;
#endif
}
void commFreeCommunicator(Comm* comm)
{
#ifdef _MPI
MPI_Comm_free(&comm->comm);
#endif
}

4
BasicSolver/3D-mpi/src/comm.h
View File

@@ -23,6 +23,7 @@ typedef enum dimension { KDIM = 0, JDIM, IDIM, NDIMS } Dimension;
enum layer { HALO = 0, BULK };
enum op { MAX = 0, SUM };
typedef struct {
int rank;
int size;
@@ -45,6 +46,9 @@ extern void commShift(Comm* c, double* f, double* g, double* h);
extern void commReduction(double* v, int op);
extern int commIsBoundary(Comm* c, Direction direction);
extern void commGetOffsets(Comm* c, int offsets[], int kmax, int jmax, int imax);
extern void commFreeCommunicator(Comm* comm);
extern void commUpdateDatatypes(
Comm* oldcomm, Comm* newcomm, int imaxLocal, int jmaxLocal, int kmaxLocal);
extern void commCollectResult(Comm* c,
double* ug,
double* vg,

729
BasicSolver/3D-mpi/src/discretization.c Normal file
View File

@@ -0,0 +1,729 @@
/*
* Copyright (C) NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved. This file is part of nusif-solver.
* Use of this source code is governed by a MIT style
* license that can be found in the LICENSE file.
*/
#include <float.h>
#include <math.h>
#include <stdio.h>
#include <string.h>
#include "allocate.h"
#include "discretization.h"
#include "parameter.h"
#include "util.h"
#define P(i, j, k) \
p[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define F(i, j, k) \
f[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define G(i, j, k) \
g[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define H(i, j, k) \
h[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define U(i, j, k) \
u[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define V(i, j, k) \
v[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define W(i, j, k) \
w[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define RHS(i, j, k) \
rhs[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
static void printConfig(Discretization* s)
{
if (commIsMaster(&s->comm)) {
printf("Parameters for #%s#\n", s->problem);
printf("BC Left:%d Right:%d Bottom:%d Top:%d Front:%d Back:%d\n",
s->bcLeft,
s->bcRight,
s->bcBottom,
s->bcTop,
s->bcFront,
s->bcBack);
printf("\tReynolds number: %.2f\n", s->re);
printf("\tGx Gy: %.2f %.2f %.2f\n", s->gx, s->gy, s->gz);
printf("Geometry data:\n");
printf("\tDomain box size (x, y, z): %.2f, %.2f, %.2f\n",
s->grid.xlength,
s->grid.ylength,
s->grid.zlength);
printf("\tCells (x, y, z): %d, %d, %d\n",
s->grid.imax,
s->grid.jmax,
s->grid.kmax);
printf("\tCell size (dx, dy, dz): %f, %f, %f\n",
s->grid.dx,
s->grid.dy,
s->grid.dz);
printf("Timestep parameters:\n");
printf("\tDefault stepsize: %.2f, Final time %.2f\n", s->dt, s->te);
printf("\tdt bound: %.6f\n", s->dtBound);
printf("\tTau factor: %.2f\n", s->tau);
printf("Iterative parameters:\n");
printf("\tMax iterations: %d\n", s->itermax);
printf("\tepsilon (stopping tolerance) : %f\n", s->eps);
printf("\tgamma factor: %f\n", s->gamma);
printf("\tomega (SOR relaxation): %f\n", s->omega);
}
commPrintConfig(&s->comm);
}
void initDiscretization(Discretization* s, Parameter* params)
{
s->problem = params->name;
s->bcLeft = params->bcLeft;
s->bcRight = params->bcRight;
s->bcBottom = params->bcBottom;
s->bcTop = params->bcTop;
s->bcFront = params->bcFront;
s->bcBack = params->bcBack;
s->grid.imax = params->imax;
s->grid.jmax = params->jmax;
s->grid.kmax = params->kmax;
s->grid.xlength = params->xlength;
s->grid.ylength = params->ylength;
s->grid.zlength = params->zlength;
s->grid.dx = params->xlength / params->imax;
s->grid.dy = params->ylength / params->jmax;
s->grid.dz = params->zlength / params->kmax;
s->eps = params->eps;
s->omega = params->omg;
s->itermax = params->itermax;
s->re = params->re;
s->gx = params->gx;
s->gy = params->gy;
s->gz = params->gz;
s->dt = params->dt;
s->te = params->te;
s->tau = params->tau;
s->gamma = params->gamma;
/* allocate arrays */
int imaxLocal = s->comm.imaxLocal;
int jmaxLocal = s->comm.jmaxLocal;
int kmaxLocal = s->comm.kmaxLocal;
size_t size = (imaxLocal + 2) * (jmaxLocal + 2) * (kmaxLocal + 2);
s->u = allocate(64, size * sizeof(double));
s->v = allocate(64, size * sizeof(double));
s->w = allocate(64, size * sizeof(double));
s->p = allocate(64, size * sizeof(double));
s->rhs = allocate(64, size * sizeof(double));
s->f = allocate(64, size * sizeof(double));
s->g = allocate(64, size * sizeof(double));
s->h = allocate(64, size * sizeof(double));
for (int i = 0; i < size; i++) {
s->u[i] = params->u_init;
s->v[i] = params->v_init;
s->w[i] = params->w_init;
s->p[i] = params->p_init;
s->rhs[i] = 0.0;
s->f[i] = 0.0;
s->g[i] = 0.0;
s->h[i] = 0.0;
}
double dx = s->grid.dx;
double dy = s->grid.dy;
double dz = s->grid.dz;
double invSqrSum = 1.0 / (dx * dx) + 1.0 / (dy * dy) + 1.0 / (dz * dz);
s->dtBound = 0.5 * s->re * 1.0 / invSqrSum;
#ifdef VERBOSE
printConfig(s);
#endif /* VERBOSE */
}
void setBoundaryConditions(Discretization* s)
{
int imaxLocal = s->comm.imaxLocal;
int jmaxLocal = s->comm.jmaxLocal;
int kmaxLocal = s->comm.kmaxLocal;
double* u = s->u;
double* v = s->v;
double* w = s->w;
if (commIsBoundary(&s->comm, TOP)) {
switch (s->bcTop) {
case NOSLIP:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, jmaxLocal + 1, k) = -U(i, jmaxLocal, k);
V(i, jmaxLocal, k) = 0.0;
W(i, jmaxLocal + 1, k) = -W(i, jmaxLocal, k);
}
}
break;
case SLIP:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, jmaxLocal + 1, k) = U(i, jmaxLocal, k);
V(i, jmaxLocal, k) = 0.0;
W(i, jmaxLocal + 1, k) = W(i, jmaxLocal, k);
}
}
break;
case OUTFLOW:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, jmaxLocal + 1, k) = U(i, jmaxLocal, k);
V(i, jmaxLocal, k) = V(i, jmaxLocal - 1, k);
W(i, jmaxLocal + 1, k) = W(i, jmaxLocal, k);
}
}
break;
case PERIODIC:
break;
}
}
if (commIsBoundary(&s->comm, BOTTOM)) {
switch (s->bcBottom) {
case NOSLIP:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, 0, k) = -U(i, 1, k);
V(i, 0, k) = 0.0;
W(i, 0, k) = -W(i, 1, k);
}
}
break;
case SLIP:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, 0, k) = U(i, 1, k);
V(i, 0, k) = 0.0;
W(i, 0, k) = W(i, 1, k);
}
}
break;
case OUTFLOW:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, 0, k) = U(i, 1, k);
V(i, 0, k) = V(i, 1, k);
W(i, 0, k) = W(i, 1, k);
}
}
break;
case PERIODIC:
break;
}
}
if (commIsBoundary(&s->comm, LEFT)) {
switch (s->bcLeft) {
case NOSLIP:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
U(0, j, k) = 0.0;
V(0, j, k) = -V(1, j, k);
W(0, j, k) = -W(1, j, k);
}
}
break;
case SLIP:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
U(0, j, k) = 0.0;
V(0, j, k) = V(1, j, k);
W(0, j, k) = W(1, j, k);
}
}
break;
case OUTFLOW:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
U(0, j, k) = U(1, j, k);
V(0, j, k) = V(1, j, k);
W(0, j, k) = W(1, j, k);
}
}
break;
case PERIODIC:
break;
}
}
if (commIsBoundary(&s->comm, RIGHT)) {
switch (s->bcRight) {
case NOSLIP:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
U(imaxLocal, j, k) = 0.0;
V(imaxLocal + 1, j, k) = -V(imaxLocal, j, k);
W(imaxLocal + 1, j, k) = -W(imaxLocal, j, k);
}
}
break;
case SLIP:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
U(imaxLocal, j, k) = 0.0;
V(imaxLocal + 1, j, k) = V(imaxLocal, j, k);
W(imaxLocal + 1, j, k) = W(imaxLocal, j, k);
}
}
break;
case OUTFLOW:
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
U(imaxLocal, j, k) = U(imaxLocal - 1, j, k);
V(imaxLocal + 1, j, k) = V(imaxLocal, j, k);
W(imaxLocal + 1, j, k) = W(imaxLocal, j, k);
}
}
break;
case PERIODIC:
break;
}
}
if (commIsBoundary(&s->comm, FRONT)) {
switch (s->bcFront) {
case NOSLIP:
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, j, 0) = -U(i, j, 1);
V(i, j, 0) = -V(i, j, 1);
W(i, j, 0) = 0.0;
}
}
break;
case SLIP:
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, j, 0) = U(i, j, 1);
V(i, j, 0) = V(i, j, 1);
W(i, j, 0) = 0.0;
}
}
break;
case OUTFLOW:
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, j, 0) = U(i, j, 1);
V(i, j, 0) = V(i, j, 1);
W(i, j, 0) = W(i, j, 1);
}
}
break;
case PERIODIC:
break;
}
}
if (commIsBoundary(&s->comm, BACK)) {
switch (s->bcBack) {
case NOSLIP:
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, j, kmaxLocal + 1) = -U(i, j, kmaxLocal);
V(i, j, kmaxLocal + 1) = -V(i, j, kmaxLocal);
W(i, j, kmaxLocal) = 0.0;
}
}
break;
case SLIP:
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, j, kmaxLocal + 1) = U(i, j, kmaxLocal);
V(i, j, kmaxLocal + 1) = V(i, j, kmaxLocal);
W(i, j, kmaxLocal) = 0.0;
}
}
break;
case OUTFLOW:
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, j, kmaxLocal + 1) = U(i, j, kmaxLocal);
V(i, j, kmaxLocal + 1) = V(i, j, kmaxLocal);
W(i, j, kmaxLocal) = W(i, j, kmaxLocal - 1);
}
}
break;
case PERIODIC:
break;
}
}
}
void computeRHS(Discretization* s)
{
int imaxLocal = s->comm.imaxLocal;
int jmaxLocal = s->comm.jmaxLocal;
int kmaxLocal = s->comm.kmaxLocal;
double idx = 1.0 / s->grid.dx;
double idy = 1.0 / s->grid.dy;
double idz = 1.0 / s->grid.dz;
double idt = 1.0 / s->dt;
double* rhs = s->rhs;
double* f = s->f;
double* g = s->g;
double* h = s->h;
commShift(&s->comm, f, g, h);
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
RHS(i, j, k) = ((F(i, j, k) - F(i - 1, j, k)) * idx +
(G(i, j, k) - G(i, j - 1, k)) * idy +
(H(i, j, k) - H(i, j, k - 1)) * idz) *
idt;
}
}
}
}
void setSpecialBoundaryCondition(Discretization* s)
{
int imaxLocal = s->comm.imaxLocal;
int jmaxLocal = s->comm.jmaxLocal;
int kmaxLocal = s->comm.kmaxLocal;
double* u = s->u;
if (strcmp(s->problem, "dcavity") == 0) {
if (commIsBoundary(&s->comm, TOP)) {
for (int k = 1; k < kmaxLocal; k++) {
for (int i = 1; i < imaxLocal; i++) {
U(i, jmaxLocal + 1, k) = 2.0 - U(i, jmaxLocal, k);
}
}
}
} else if (strcmp(s->problem, "canal") == 0) {
if (commIsBoundary(&s->comm, LEFT)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
U(0, j, k) = 2.0;
}
}
}
}
}
static double maxElement(Discretization* s, double* m)
{
int size = (s->comm.imaxLocal + 2) * (s->comm.jmaxLocal + 2) *
(s->comm.kmaxLocal + 2);
double maxval = DBL_MIN;
for (int i = 0; i < size; i++) {
maxval = MAX(maxval, fabs(m[i]));
}
commReduction(&maxval, MAX);
return maxval;
}
void normalizePressure(Discretization* s)
{
int imaxLocal = s->comm.imaxLocal;
int jmaxLocal = s->comm.jmaxLocal;
int kmaxLocal = s->comm.kmaxLocal;
double* p = s->p;
double avgP = 0.0;
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
avgP += P(i, j, k);
}
}
}
commReduction(&avgP, SUM);
avgP /= (s->grid.imax * s->grid.jmax * s->grid.kmax);
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, j, k) = P(i, j, k) - avgP;
}
}
}
}
void computeTimestep(Discretization* s)
{
double dt = s->dtBound;
double dx = s->grid.dx;
double dy = s->grid.dy;
double dz = s->grid.dz;
double umax = maxElement(s, s->u);
double vmax = maxElement(s, s->v);
double wmax = maxElement(s, s->w);
if (umax > 0) {
dt = (dt > dx / umax) ? dx / umax : dt;
}
if (vmax > 0) {
dt = (dt > dy / vmax) ? dy / vmax : dt;
}
if (wmax > 0) {
dt = (dt > dz / wmax) ? dz / wmax : dt;
}
s->dt = dt * s->tau;
}
void computeFG(Discretization* s)
{
int imaxLocal = s->comm.imaxLocal;
int jmaxLocal = s->comm.jmaxLocal;
int kmaxLocal = s->comm.kmaxLocal;
double* u = s->u;
double* v = s->v;
double* w = s->w;
double* f = s->f;
double* g = s->g;
double* h = s->h;
double gx = s->gx;
double gy = s->gy;
double gz = s->gz;
double dt = s->dt;
double gamma = s->gamma;
double inverseRe = 1.0 / s->re;
double inverseDx = 1.0 / s->grid.dx;
double inverseDy = 1.0 / s->grid.dy;
double inverseDz = 1.0 / s->grid.dz;
double du2dx, dv2dy, dw2dz;
double duvdx, duwdx, duvdy, dvwdy, duwdz, dvwdz;
double du2dx2, du2dy2, du2dz2;
double dv2dx2, dv2dy2, dv2dz2;
double dw2dx2, dw2dy2, dw2dz2;
commExchange(&s->comm, u);
commExchange(&s->comm, v);
commExchange(&s->comm, w);
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
du2dx = inverseDx * 0.25 *
((U(i, j, k) + U(i + 1, j, k)) *
(U(i, j, k) + U(i + 1, j, k)) -
(U(i, j, k) + U(i - 1, j, k)) *
(U(i, j, k) + U(i - 1, j, k))) +
gamma * inverseDx * 0.25 *
(fabs(U(i, j, k) + U(i + 1, j, k)) *
(U(i, j, k) - U(i + 1, j, k)) +
fabs(U(i, j, k) + U(i - 1, j, k)) *
(U(i, j, k) - U(i - 1, j, k)));
duvdy = inverseDy * 0.25 *
((V(i, j, k) + V(i + 1, j, k)) *
(U(i, j, k) + U(i, j + 1, k)) -
(V(i, j - 1, k) + V(i + 1, j - 1, k)) *
(U(i, j, k) + U(i, j - 1, k))) +
gamma * inverseDy * 0.25 *
(fabs(V(i, j, k) + V(i + 1, j, k)) *
(U(i, j, k) - U(i, j + 1, k)) +
fabs(V(i, j - 1, k) + V(i + 1, j - 1, k)) *
(U(i, j, k) - U(i, j - 1, k)));
duwdz = inverseDz * 0.25 *
((W(i, j, k) + W(i + 1, j, k)) *
(U(i, j, k) + U(i, j, k + 1)) -
(W(i, j, k - 1) + W(i + 1, j, k - 1)) *
(U(i, j, k) + U(i, j, k - 1))) +
gamma * inverseDz * 0.25 *
(fabs(W(i, j, k) + W(i + 1, j, k)) *
(U(i, j, k) - U(i, j, k + 1)) +
fabs(W(i, j, k - 1) + W(i + 1, j, k - 1)) *
(U(i, j, k) - U(i, j, k - 1)));
du2dx2 = inverseDx * inverseDx *
(U(i + 1, j, k) - 2.0 * U(i, j, k) + U(i - 1, j, k));
du2dy2 = inverseDy * inverseDy *
(U(i, j + 1, k) - 2.0 * U(i, j, k) + U(i, j - 1, k));
du2dz2 = inverseDz * inverseDz *
(U(i, j, k + 1) - 2.0 * U(i, j, k) + U(i, j, k - 1));
F(i, j, k) = U(i, j, k) + dt * (inverseRe * (du2dx2 + du2dy2 + du2dz2) -
du2dx - duvdy - duwdz + gx);
duvdx = inverseDx * 0.25 *
((U(i, j, k) + U(i, j + 1, k)) *
(V(i, j, k) + V(i + 1, j, k)) -
(U(i - 1, j, k) + U(i - 1, j + 1, k)) *
(V(i, j, k) + V(i - 1, j, k))) +
gamma * inverseDx * 0.25 *
(fabs(U(i, j, k) + U(i, j + 1, k)) *
(V(i, j, k) - V(i + 1, j, k)) +
fabs(U(i - 1, j, k) + U(i - 1, j + 1, k)) *
(V(i, j, k) - V(i - 1, j, k)));
dv2dy = inverseDy * 0.25 *
((V(i, j, k) + V(i, j + 1, k)) *
(V(i, j, k) + V(i, j + 1, k)) -
(V(i, j, k) + V(i, j - 1, k)) *
(V(i, j, k) + V(i, j - 1, k))) +
gamma * inverseDy * 0.25 *
(fabs(V(i, j, k) + V(i, j + 1, k)) *
(V(i, j, k) - V(i, j + 1, k)) +
fabs(V(i, j, k) + V(i, j - 1, k)) *
(V(i, j, k) - V(i, j - 1, k)));
dvwdz = inverseDz * 0.25 *
((W(i, j, k) + W(i, j + 1, k)) *
(V(i, j, k) + V(i, j, k + 1)) -
(W(i, j, k - 1) + W(i, j + 1, k - 1)) *
(V(i, j, k) + V(i, j, k + 1))) +
gamma * inverseDz * 0.25 *
(fabs(W(i, j, k) + W(i, j + 1, k)) *
(V(i, j, k) - V(i, j, k + 1)) +
fabs(W(i, j, k - 1) + W(i, j + 1, k - 1)) *
(V(i, j, k) - V(i, j, k + 1)));
dv2dx2 = inverseDx * inverseDx *
(V(i + 1, j, k) - 2.0 * V(i, j, k) + V(i - 1, j, k));
dv2dy2 = inverseDy * inverseDy *
(V(i, j + 1, k) - 2.0 * V(i, j, k) + V(i, j - 1, k));
dv2dz2 = inverseDz * inverseDz *
(V(i, j, k + 1) - 2.0 * V(i, j, k) + V(i, j, k - 1));
G(i, j, k) = V(i, j, k) + dt * (inverseRe * (dv2dx2 + dv2dy2 + dv2dz2) -
duvdx - dv2dy - dvwdz + gy);
duwdx = inverseDx * 0.25 *
((U(i, j, k) + U(i, j, k + 1)) *
(W(i, j, k) + W(i + 1, j, k)) -
(U(i - 1, j, k) + U(i - 1, j, k + 1)) *
(W(i, j, k) + W(i - 1, j, k))) +
gamma * inverseDx * 0.25 *
(fabs(U(i, j, k) + U(i, j, k + 1)) *
(W(i, j, k) - W(i + 1, j, k)) +
fabs(U(i - 1, j, k) + U(i - 1, j, k + 1)) *
(W(i, j, k) - W(i - 1, j, k)));
dvwdy = inverseDy * 0.25 *
((V(i, j, k) + V(i, j, k + 1)) *
(W(i, j, k) + W(i, j + 1, k)) -
(V(i, j - 1, k + 1) + V(i, j - 1, k)) *
(W(i, j, k) + W(i, j - 1, k))) +
gamma * inverseDy * 0.25 *
(fabs(V(i, j, k) + V(i, j, k + 1)) *
(W(i, j, k) - W(i, j + 1, k)) +
fabs(V(i, j - 1, k + 1) + V(i, j - 1, k)) *
(W(i, j, k) - W(i, j - 1, k)));
dw2dz = inverseDz * 0.25 *
((W(i, j, k) + W(i, j, k + 1)) *
(W(i, j, k) + W(i, j, k + 1)) -
(W(i, j, k) + W(i, j, k - 1)) *
(W(i, j, k) + W(i, j, k - 1))) +
gamma * inverseDz * 0.25 *
(fabs(W(i, j, k) + W(i, j, k + 1)) *
(W(i, j, k) - W(i, j, k + 1)) +
fabs(W(i, j, k) + W(i, j, k - 1)) *
(W(i, j, k) - W(i, j, k - 1)));
dw2dx2 = inverseDx * inverseDx *
(W(i + 1, j, k) - 2.0 * W(i, j, k) + W(i - 1, j, k));
dw2dy2 = inverseDy * inverseDy *
(W(i, j + 1, k) - 2.0 * W(i, j, k) + W(i, j - 1, k));
dw2dz2 = inverseDz * inverseDz *
(W(i, j, k + 1) - 2.0 * W(i, j, k) + W(i, j, k - 1));
H(i, j, k) = W(i, j, k) + dt * (inverseRe * (dw2dx2 + dw2dy2 + dw2dz2) -
duwdx - dvwdy - dw2dz + gz);
}
}
}
/* ----------------------------- boundary of F ---------------------------
*/
if (commIsBoundary(&s->comm, LEFT)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
F(0, j, k) = U(0, j, k);
}
}
}
if (commIsBoundary(&s->comm, RIGHT)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
F(imaxLocal, j, k) = U(imaxLocal, j, k);
}
}
}
/* ----------------------------- boundary of G ---------------------------
*/
if (commIsBoundary(&s->comm, BOTTOM)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
G(i, 0, k) = V(i, 0, k);
}
}
}
if (commIsBoundary(&s->comm, TOP)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
G(i, jmaxLocal, k) = V(i, jmaxLocal, k);
}
}
}
/* ----------------------------- boundary of H ---------------------------
*/
if (commIsBoundary(&s->comm, FRONT)) {
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
H(i, j, 0) = W(i, j, 0);
}
}
}
if (commIsBoundary(&s->comm, BACK)) {
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
H(i, j, kmaxLocal) = W(i, j, kmaxLocal);
}
}
}
}
void adaptUV(Discretization* s)
{
int imaxLocal = s->comm.imaxLocal;
int jmaxLocal = s->comm.jmaxLocal;
int kmaxLocal = s->comm.kmaxLocal;
double* p = s->p;
double* u = s->u;
double* v = s->v;
double* w = s->w;
double* f = s->f;
double* g = s->g;
double* h = s->h;
double factorX = s->dt / s->grid.dx;
double factorY = s->dt / s->grid.dy;
double factorZ = s->dt / s->grid.dz;
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
U(i, j, k) = F(i, j, k) - (P(i + 1, j, k) - P(i, j, k)) * factorX;
V(i, j, k) = G(i, j, k) - (P(i, j + 1, k) - P(i, j, k)) * factorY;
W(i, j, k) = H(i, j, k) - (P(i, j, k + 1) - P(i, j, k)) * factorZ;
}
}
}
}

44
BasicSolver/3D-mpi/src/discretization.h Normal file
View File

@@ -0,0 +1,44 @@
/*
* Copyright (C) NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved. This file is part of nusif-solver.
* Use of this source code is governed by a MIT style
* license that can be found in the LICENSE file.
*/
#ifndef __DISCRETIZATION_H_
#define __DISCRETIZATION_H_
#include "grid.h"
#include "parameter.h"
#include "comm.h"
enum BC { NOSLIP = 1, SLIP, OUTFLOW, PERIODIC };
typedef struct {
/* geometry and grid information */
Grid grid;
/* arrays */
double *p, *rhs;
double *f, *g, *h;
double *u, *v, *w;
/* parameters */
double eps, omega;
double re, tau, gamma;
double gx, gy, gz;
/* time stepping */
int itermax;
double dt, te;
double dtBound;
char* problem;
int bcLeft, bcRight, bcBottom, bcTop, bcFront, bcBack;
Comm comm;
} Discretization;
extern void initDiscretization(Discretization*, Parameter*);
extern void computeRHS(Discretization*);
extern void normalizePressure(Discretization*);
extern void computeTimestep(Discretization*);
extern void setBoundaryConditions(Discretization*);
extern void setSpecialBoundaryCondition(Discretization*);
extern void computeFG(Discretization*);
extern void adaptUV(Discretization*);
#endif

85
BasicSolver/3D-mpi/src/main.c
View File

@@ -9,7 +9,7 @@
#include <unistd.h>
#include "allocate.h"
#include "comm.h"
#include "discretization.h"
#include "parameter.h"
#include "progress.h"
#include "solver.h"
@@ -21,9 +21,12 @@ int main(int argc, char** argv)
double timeStart, timeStop;
Parameter p;
Solver s;
Discretization d;
commInit(&s.comm, argc, argv);
commInit(&d.comm, argc, argv);
initParameter(&p);
FILE* fp;
if (commIsMaster(&d.comm)) fp = initResidualWriter();
if (argc != 2) {
printf("Usage: %s <configFile>\n", argv[0]);
@@ -31,33 +34,44 @@ int main(int argc, char** argv)
}
readParameter(&p, argv[1]);
commPartition(&s.comm, p.kmax, p.jmax, p.imax);
if (commIsMaster(&s.comm)) {
commPartition(&d.comm, p.kmax, p.jmax, p.imax);
if (commIsMaster(&d.comm)) {
printParameter(&p);
}
initSolver(&s, &p);
initDiscretization(&d, &p);
initSolver(&s, &d, &p);
#ifndef VERBOSE
initProgress(s.te);
initProgress(d.te);
#endif
double tau = s.tau;
double te = s.te;
double tau = d.tau;
double te = d.te;
double t = 0.0;
int nt = 0;
double res = 0.0;
timeStart = getTimeStamp();
while (t <= te) {
if (tau > 0.0) computeTimestep(&s);
setBoundaryConditions(&s);
setSpecialBoundaryCondition(&s);
computeFG(&s);
computeRHS(&s);
solve(&s);
adaptUV(&s);
t += s.dt;
if (tau > 0.0) computeTimestep(&d);
setBoundaryConditions(&d);
setSpecialBoundaryCondition(&d);
computeFG(&d);
computeRHS(&d);
if (nt % 100 == 0) normalizePressure(&d);
res = solve(&s, d.p, d.rhs);
adaptUV(&d);
if (commIsMaster(&d.comm)) writeResidual(fp, t, res);
t += d.dt;
nt++;
#ifdef VERBOSE
if (commIsMaster(&s.comm)) {
printf("TIME %f , TIMESTEP %f\n", t, s.dt);
if (commIsMaster(s.comm)) {
printf("TIME %f , TIMESTEP %f\n", t, d.dt);
}
#else
printProgress(t);
@@ -67,7 +81,7 @@ int main(int argc, char** argv)
#ifndef VERBOSE
stopProgress();
#endif
if (commIsMaster(&s.comm)) {
if (commIsMaster(s.comm)) {
printf("Solution took %.2fs\n", timeStop - timeStart);
}
@@ -75,14 +89,16 @@ int main(int argc, char** argv)
#ifdef _VTK_WRITER_MPI
VtkOptions opts = { .grid = s.grid, .comm = s.comm };
vtkOpen(&opts, s.problem);
vtkScalar(&opts, "pressure", s.p);
vtkVector(&opts, "velocity", (VtkVector) { s.u, s.v, s.w });
vtkScalar(&opts, "pressure", d.p);
vtkVector(&opts, "velocity", (VtkVector) { d.u, d.v, d.w });
vtkClose(&opts);
#else
if (commIsMaster(&d.comm)) fclose(fp);
double *pg, *ug, *vg, *wg;
if (commIsMaster(&s.comm)) {
size_t bytesize = s.grid.imax * s.grid.jmax * s.grid.kmax * sizeof(double);
if (commIsMaster(s.comm)) {
size_t bytesize = s.grid->imax * s.grid->jmax * s.grid->kmax * sizeof(double);
pg = allocate(64, bytesize);
ug = allocate(64, bytesize);
@@ -90,34 +106,35 @@ int main(int argc, char** argv)
wg = allocate(64, bytesize);
}
commCollectResult(&s.comm,
commCollectResult(s.comm,
ug,
vg,
wg,
pg,
s.u,
s.v,
s.w,
s.p,
s.grid.kmax,
s.grid.jmax,
s.grid.imax);
d.u,
d.v,
d.w,
d.p,
s.grid->kmax,
s.grid->jmax,
s.grid->imax);
if (commIsMaster(&s.comm)) {
if (commIsMaster(s.comm)) {
VtkOptions opts = { .grid = s.grid };
vtkOpen(&opts, s.problem);
vtkScalar(&opts, "pressure", pg);
vtkVector(&opts, "velocity", (VtkVector) { ug, vg, wg });
vtkClose(&opts);
}
#endif
timeStop = getTimeStamp();
if (commIsMaster(&s.comm)) {
if (commIsMaster(s.comm)) {
printf("Result output took %.2fs\n", timeStop - timeStart);
}
commFinalize(&s.comm);
commFinalize(s.comm);
return EXIT_SUCCESS;
}

31
BasicSolver/3D-mpi/src/parameter.c
View File

@@ -14,18 +14,22 @@
void initParameter(Parameter* param)
{
param->xlength = 1.0;
param->ylength = 1.0;
param->zlength = 1.0;
param->imax = 100;
param->jmax = 100;
param->kmax = 100;
param->itermax = 1000;
param->eps = 0.0001;
param->omg = 1.7;
param->re = 100.0;
param->gamma = 0.9;
param->tau = 0.5;
param->xlength = 1.0;
param->ylength = 1.0;
param->zlength = 1.0;
param->imax = 100;
param->jmax = 100;
param->kmax = 100;
param->itermax = 1000;
param->eps = 0.0001;
param->omg = 1.7;
param->re = 100.0;
param->gamma = 0.9;
param->tau = 0.5;
param->levels = 5;
param->presmooth = 5;
param->postsmooth = 5;
}
void readParameter(Parameter* param, const char* filename)
@@ -65,6 +69,9 @@ void readParameter(Parameter* param, const char* filename)
PARSE_INT(jmax);
PARSE_INT(kmax);
PARSE_INT(itermax);
PARSE_INT(levels);
PARSE_INT(presmooth);
PARSE_INT(postsmooth);
PARSE_REAL(eps);
PARSE_REAL(omg);
PARSE_REAL(re);

1
BasicSolver/3D-mpi/src/parameter.h
View File

@@ -18,6 +18,7 @@ typedef struct {
char* name;
int bcLeft, bcRight, bcBottom, bcTop, bcFront, bcBack;
double u_init, v_init, w_init, p_init;
int levels, presmooth, postsmooth;
} Parameter;
void initParameter(Parameter*);

19
BasicSolver/3D-mpi/src/progress.c
View File

@@ -4,12 +4,12 @@
* Use of this source code is governed by a MIT style
* license that can be found in the LICENSE file.
*/
#include "progress.h"
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "progress.h"
static double _end;
static int _current;
@@ -48,3 +48,18 @@ void stopProgress()
printf("\n");
fflush(stdout);
}
FILE* initResidualWriter()
{
FILE* fp;
fp = fopen("residual.dat", "w");
if (fp == NULL) {
printf("Error!\n");
exit(EXIT_FAILURE);
}
return fp;
}
void writeResidual(FILE* fp, double ts, double res) { fprintf(fp, "%f, %f\n", ts, res); }

7
BasicSolver/3D-mpi/src/progress.h
View File

@@ -4,11 +4,14 @@
* Use of this source code is governed by a MIT-style
* license that can be found in the LICENSE file.
*/
#include <stdio.h>
#ifndef __PROGRESS_H_
#define __PROGRESS_H_
extern void initProgress(double);
extern void printProgress(double);
extern void stopProgress(void);
extern FILE* initResidualWriter(void);
extern void writeResidual(FILE*, double, double);
#endif

403
BasicSolver/3D-mpi/src/solver-mg.c Normal file
View File

@@ -0,0 +1,403 @@
/*
* Copyright (C) NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved. This file is part of nusif-solver.
* Use of this source code is governed by a MIT style
* license that can be found in the LICENSE file.
*/
#include <stdio.h>
#include <stdlib.h>
#include "allocate.h"
#include "solver.h"
#include "util.h"
#define FINEST_LEVEL 0
#define COARSEST_LEVEL (s->levels - 1)
#define S(i, j, k) \
s[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define E(i, j, k) \
e[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define R(i, j, k) \
r[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define OLD(i, j, k) \
old[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
static void restrictMG(Solver* s, int level, Comm* comm)
{
double* r = s->r[level + 1];
double* old = s->r[level];
int imaxLocal = comm->imaxLocal;
int jmaxLocal = comm->jmaxLocal;
int kmaxLocal = comm->kmaxLocal;
commExchange(comm, old);
for (int k = 1; k < comm->kmaxLocal + 1; k++) {
for (int j = 1; j < comm->jmaxLocal + 1; j++) {
for (int i = 1; i < comm->imaxLocal + 1; ++i) {
R(i, j, k) = (OLD(2 * i - 1, 2 * j - 1, 2 * k) +
OLD(2 * i, 2 * j - 1, 2 * k) * 2 +
OLD(2 * i + 1, 2 * j - 1, 2 * k) +
OLD(2 * i - 1, 2 * j, 2 * k) * 2 +
OLD(2 * i, 2 * j, 2 * k) * 8 +
OLD(2 * i + 1, 2 * j, 2 * k) * 2 +
OLD(2 * i - 1, 2 * j + 1, 2 * k) +
OLD(2 * i, 2 * j + 1, 2 * k) * 2 +
OLD(2 * i + 1, 2 * j + 1, 2 * k) +
OLD(2 * i - 1, 2 * j - 1, 2 * k - 1) +
OLD(2 * i, 2 * j - 1, 2 * k - 1) * 2 +
OLD(2 * i + 1, 2 * j - 1, 2 * k - 1) +
OLD(2 * i - 1, 2 * j, 2 * k - 1) * 2 +
OLD(2 * i, 2 * j, 2 * k - 1) * 4 +
OLD(2 * i + 1, 2 * j, 2 * k - 1) * 2 +
OLD(2 * i - 1, 2 * j + 1, 2 * k - 1) +
OLD(2 * i, 2 * j + 1, 2 * k - 1) * 2 +
OLD(2 * i + 1, 2 * j + 1, 2 * k - 1) +
OLD(2 * i - 1, 2 * j - 1, 2 * k + 1) +
OLD(2 * i, 2 * j - 1, 2 * k + 1) * 2 +
OLD(2 * i + 1, 2 * j - 1, 2 * k + 1) +
OLD(2 * i - 1, 2 * j, 2 * k + 1) * 2 +
OLD(2 * i, 2 * j, 2 * k + 1) * 4 +
OLD(2 * i + 1, 2 * j, 2 * k + 1) * 2 +
OLD(2 * i - 1, 2 * j + 1, 2 * k + 1) +
OLD(2 * i, 2 * j + 1, 2 * k + 1) * 2 +
OLD(2 * i + 1, 2 * j + 1, 2 * k + 1)) /
64.0;
}
}
}
}
static void prolongate(Solver* s, int level, Comm* comm)
{
double* old = s->r[level + 1];
double* e = s->r[level];
int imaxLocal = comm->imaxLocal;
int jmaxLocal = comm->jmaxLocal;
int kmaxLocal = comm->kmaxLocal;
for (int k = 2; k < kmaxLocal + 1; k += 2) {
for (int j = 2; j < jmaxLocal + 1; j += 2) {
for (int i = 2; i < imaxLocal + 1; i += 2) {
E(i, j, k) = OLD(i / 2, j / 2, k / 2);
}
}
}
}
static void correct(Solver* s, double* p, int level, Comm* comm)
{
double* e = s->e[level];
int imaxLocal = comm->imaxLocal;
int jmaxLocal = comm->jmaxLocal;
int kmaxLocal = comm->kmaxLocal;
for (int k = 1; k < kmaxLocal + 1; ++k) {
for (int j = 1; j < jmaxLocal + 1; ++j) {
for (int i = 1; i < imaxLocal + 1; ++i) {
P(i, j, k) += E(i, j, k);
}
}
}
}
static void setBoundaryCondition(
Solver* s, double* p, int imaxLocal, int jmaxLocal, int kmaxLocal)
{
#ifdef _MPI
if (commIsBoundary(s->comm, FRONT)) {
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, j, 0) = P(i, j, 1);
}
}
}
if (commIsBoundary(s->comm, BACK)) {
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, j, kmaxLocal + 1) = P(i, j, kmaxLocal);
}
}
}
if (commIsBoundary(s->comm, BOTTOM)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, 0, k) = P(i, 1, k);
}
}
}
if (commIsBoundary(s->comm, TOP)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, jmaxLocal + 1, k) = P(i, jmaxLocal, k);
}
}
}
if (commIsBoundary(s->comm, LEFT)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
P(0, j, k) = P(1, j, k);
}
}
}
if (commIsBoundary(s->comm, RIGHT)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
P(imaxLocal + 1, j, k) = P(imaxLocal, j, k);
}
}
}
#else
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, j, 0) = P(i, j, 1);
P(i, j, kmaxLocal + 1) = P(i, j, kmaxLocal);
}
}
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, 0, k) = P(i, 1, k);
P(i, jmaxLocal + 1, k) = P(i, jmaxLocal, k);
}
}
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
P(0, j, k) = P(1, j, k);
P(imaxLocal + 1, j, k) = P(imaxLocal, j, k);
}
}
#endif
}
static double smooth(Solver* s, double* p, double* rhs, int level, Comm* comm)
{
int imaxLocal = comm->imaxLocal;
int jmaxLocal = comm->jmaxLocal;
int kmaxLocal = comm->kmaxLocal;
double eps = s->eps;
int itermax = s->itermax;
double dx2 = s->grid->dx * s->grid->dx;
double dy2 = s->grid->dy * s->grid->dy;
double dz2 = s->grid->dz * s->grid->dz;
double idx2 = 1.0 / dx2;
double idy2 = 1.0 / dy2;
double idz2 = 1.0 / dz2;
double factor = s->omega * 0.5 * (dx2 * dy2 * dz2) /
(dy2 * dz2 + dx2 * dz2 + dx2 * dy2);
double* r = s->r[level];
double epssq = eps * eps;
int it = 0;
int pass, ksw, jsw, isw;
double res = 1.0;
ksw = 1;
for (pass = 0; pass < 2; pass++) {
jsw = ksw;
commExchange(comm, p);
for (int k = 1; k < kmaxLocal + 1; k++) {
isw = jsw;
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = isw; i < imaxLocal + 1; i += 2) {
P(i, j, k) -=
factor *
(RHS(i, j, k) -
((P(i + 1, j, k) - 2.0 * P(i, j, k) + P(i - 1, j, k)) * idx2 +
(P(i, j + 1, k) - 2.0 * P(i, j, k) + P(i, j - 1, k)) *
idy2 +
(P(i, j, k + 1) - 2.0 * P(i, j, k) + P(i, j, k - 1)) *
idz2));
}
isw = 3 - isw;
}
jsw = 3 - jsw;
}
ksw = 3 - ksw;
}
}
static double calculateResidual(Solver* s, double* p, double* rhs, int level, Comm* comm)
{
int imaxLocal = comm->imaxLocal;
int jmaxLocal = comm->jmaxLocal;
int kmaxLocal = comm->kmaxLocal;
double eps = s->eps;
int itermax = s->itermax;
double dx2 = s->grid->dx * s->grid->dx;
double dy2 = s->grid->dy * s->grid->dy;
double dz2 = s->grid->dz * s->grid->dz;
double idx2 = 1.0 / dx2;
double idy2 = 1.0 / dy2;
double idz2 = 1.0 / dz2;
double factor = s->omega * 0.5 * (dx2 * dy2 * dz2) /
(dy2 * dz2 + dx2 * dz2 + dx2 * dy2);
double* r = s->r[level];
double epssq = eps * eps;
int it = 0;
int pass, ksw, jsw, isw;
double res = 1.0;
ksw = 1;
for (pass = 0; pass < 2; pass++) {
jsw = ksw;
commExchange(comm, p);
for (int k = 1; k < kmaxLocal + 1; k++) {
isw = jsw;
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = isw; i < imaxLocal + 1; i += 2) {
R(i,
j,
k) = (RHS(i, j, k) -
((P(i + 1, j, k) - 2.0 * P(i, j, k) + P(i - 1, j, k)) *
idx2 +
(P(i, j + 1, k) - 2.0 * P(i, j, k) + P(i, j - 1, k)) *
idy2 +
(P(i, j, k + 1) - 2.0 * P(i, j, k) + P(i, j, k - 1)) *
idz2));
res += (R(i, j, k) * R(i, j, k));
}
isw = 3 - isw;
}
jsw = 3 - jsw;
}
ksw = 3 - ksw;
}
commReduction(&res, SUM);
res = res / (double)(imaxLocal * jmaxLocal * kmaxLocal);
#ifdef DEBUG
if (commIsMaster(s->comm)) {
printf("%d Residuum: %e\n", it, res);
}
#endif
return res;
}
static double multiGrid(Solver* s, double* p, double* rhs, int level, Comm* comm)
{
int imaxLocal = comm->imaxLocal;
int jmaxLocal = comm->jmaxLocal;
int kmaxLocal = comm->kmaxLocal;
double res = 0.0;
// coarsest level
if (level == COARSEST_LEVEL) {
for (int i = 0; i < 5; i++) {
smooth(s, p, rhs, level, comm);
}
return res;
}
// pre-smoothing
for (int i = 0; i < s->presmooth; i++) {
smooth(s, p, rhs, level, comm);
if (level == FINEST_LEVEL)
setBoundaryCondition(s, p, imaxLocal, jmaxLocal, kmaxLocal);
}
res = calculateResidual(s, p, rhs, level, comm);
// restrict
restrictMG(s, level, comm);
Comm newcomm;
commUpdateDatatypes(s->comm,
&newcomm,
imaxLocal,
jmaxLocal,
kmaxLocal);
// MGSolver on residual and error.
multiGrid(s, s->e[level + 1], s->r[level + 1], level + 1, &newcomm);
commFreeCommunicator(&newcomm);
// prolongate
prolongate(s, level, comm);
// correct p on finer level using residual
correct(s, p, level, comm);
if (level == FINEST_LEVEL)
setBoundaryCondition(s, p, imaxLocal, jmaxLocal, kmaxLocal);
// post-smoothing
for (int i = 0; i < s->postsmooth; i++) {
smooth(s, p, rhs, level, comm);
if (level == FINEST_LEVEL)
setBoundaryCondition(s, p, imaxLocal, jmaxLocal, kmaxLocal);
}
return res;
}
void initSolver(Solver* s, Discretization* d, Parameter* p)
{
s->eps = p->eps;
s->omega = p->omg;
s->itermax = p->itermax;
s->levels = p->levels;
s->grid = &d->grid;
s->presmooth = p->presmooth;
s->postsmooth = p->postsmooth;
s->comm = &d->comm;
s->problem = p->name;
int imax = s->grid->imax;
int jmax = s->grid->jmax;
int kmax = s->grid->kmax;
int levels = s->levels;
if (commIsMaster(s->comm)) printf("Using Multigrid solver with %d levels\n", levels);
s->r = malloc(levels * sizeof(double*));
s->e = malloc(levels * sizeof(double*));
size_t size = (imax + 2) * (jmax + 2) * (kmax + 2);
for (int j = 0; j < levels; j++) {
s->r[j] = allocate(64, size * sizeof(double));
s->e[j] = allocate(64, size * sizeof(double));
for (size_t i = 0; i < size; i++) {
s->r[j][i] = 0.0;
s->e[j][i] = 0.0;
}
}
}
double solve(Solver* s, double* p, double* rhs)
{
double res = multiGrid(s, p, rhs, 0, s->comm);
#ifdef VERBOSE
if (commIsMaster(s->comm)) {
printf("Residuum: %.6f\n", res);
}
#endif
return res;
}

175
BasicSolver/3D-mpi/src/solver-rb.c Normal file
View File

@@ -0,0 +1,175 @@
/*
* Copyright (C) NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved. This file is part of nusif-solver.
* Use of this source code is governed by a MIT style
* license that can be found in the LICENSE file.
*/
#include <float.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "allocate.h"
#include "comm.h"
#include "parameter.h"
#include "solver.h"
#include "util.h"
void initSolver(Solver* s, Discretization* d, Parameter* p)
{
s->eps = p->eps;
s->omega = p->omg;
s->itermax = p->itermax;
s->levels = p->levels;
s->grid = &d->grid;
s->presmooth = p->presmooth;
s->postsmooth = p->postsmooth;
s->comm = &d->comm;
s->problem = p->name;
}
double solve(Solver* s, double* p, double* rhs)
{
int imaxLocal = s->comm->imaxLocal;
int jmaxLocal = s->comm->jmaxLocal;
int kmaxLocal = s->comm->kmaxLocal;
int imax = s->grid->imax;
int jmax = s->grid->jmax;
int kmax = s->grid->kmax;
double eps = s->eps;
int itermax = s->itermax;
double dx2 = s->grid->dx * s->grid->dx;
double dy2 = s->grid->dy * s->grid->dy;
double dz2 = s->grid->dz * s->grid->dz;
double idx2 = 1.0 / dx2;
double idy2 = 1.0 / dy2;
double idz2 = 1.0 / dz2;
double factor = s->omega * 0.5 * (dx2 * dy2 * dz2) /
(dy2 * dz2 + dx2 * dz2 + dx2 * dy2);
double epssq = eps * eps;
int it = 0;
double res = 1.0;
int pass, ksw, jsw, isw;
while ((res >= epssq) && (it < itermax)) {
ksw = 1;
for (pass = 0; pass < 2; pass++) {
jsw = ksw;
commExchange(s->comm, p);
for (int k = 1; k < kmaxLocal + 1; k++) {
isw = jsw;
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = isw; i < imaxLocal + 1; i += 2) {
double r =
RHS(i, j, k) -
((P(i + 1, j, k) - 2.0 * P(i, j, k) + P(i - 1, j, k)) * idx2 +
(P(i, j + 1, k) - 2.0 * P(i, j, k) + P(i, j - 1, k)) *
idy2 +
(P(i, j, k + 1) - 2.0 * P(i, j, k) + P(i, j, k - 1)) *
idz2);
P(i, j, k) -= (factor * r);
res += (r * r);
}
isw = 3 - isw;
}
jsw = 3 - jsw;
}
ksw = 3 - ksw;
}
#ifdef _MPI
if (commIsBoundary(s->comm, FRONT)) {
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, j, 0) = P(i, j, 1);
}
}
}
if (commIsBoundary(s->comm, BACK)) {
for (int j = 1; j < jmaxLocal + 1; j++) {
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, j, kmaxLocal + 1) = P(i, j, kmaxLocal);
}
}
}
if (commIsBoundary(s->comm, BOTTOM)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, 0, k) = P(i, 1, k);
}
}
}
if (commIsBoundary(s->comm, TOP)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int i = 1; i < imaxLocal + 1; i++) {
P(i, jmaxLocal + 1, k) = P(i, jmaxLocal, k);
}
}
}
if (commIsBoundary(s->comm, LEFT)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
P(0, j, k) = P(1, j, k);
}
}
}
if (commIsBoundary(s->comm, RIGHT)) {
for (int k = 1; k < kmaxLocal + 1; k++) {
for (int j = 1; j < jmaxLocal + 1; j++) {
P(imaxLocal + 1, j, k) = P(imaxLocal, j, k);
}
}
}
#else
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 1; i++) {
P(i, j, 0) = P(i, j, 1);
P(i, j, kmax + 1) = P(i, j, kmax);
}
}
for (int k = 1; k < kmax + 1; k++) {
for (int i = 1; i < imax + 1; i++) {
P(i, 0, k) = P(i, 1, k);
P(i, jmax + 1, k) = P(i, jmax, k);
}
}
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
P(0, j, k) = P(1, j, k);
P(imax + 1, j, k) = P(imax, j, k);
}
}
#endif
commReduction(&res, SUM);
res = res / (double)(imax * jmax * kmax);
#ifdef DEBUG
if (commIsMaster(&s->comm)) {
printf("%d Residuum: %e\n", it, res);
}
#endif
commExchange(s->comm, p);
it++;
}
#ifdef VERBOSE
if (commIsMaster(s->comm)) {
printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
}
#endif
return res;
}

20
BasicSolver/3D-mpi/src/solver.h
View File

@@ -9,12 +9,11 @@
#include "comm.h"
#include "grid.h"
#include "parameter.h"
enum BC { NOSLIP = 1, SLIP, OUTFLOW, PERIODIC };
#include "discretization.h"
typedef struct {
/* geometry and grid information */
Grid grid;
Grid* grid;
/* arrays */
double *p, *rhs;
double *f, *g, *h;
@@ -30,16 +29,11 @@ typedef struct {
char* problem;
int bcLeft, bcRight, bcBottom, bcTop, bcFront, bcBack;
/* communication */
Comm comm;
double **r, **e;
int levels, presmooth, postsmooth;
Comm* comm;
} Solver;
extern void initSolver(Solver*, Parameter*);
extern void computeRHS(Solver*);
extern void solve(Solver*);
extern void normalizePressure(Solver*);
extern void computeTimestep(Solver*);
extern void setBoundaryConditions(Solver*);
extern void setSpecialBoundaryCondition(Solver*);
extern void computeFG(Solver*);
extern void adaptUV(Solver*);
extern double solve(Solver* , double* , double* );
extern void initSolver(Solver*, Discretization*, Parameter*);
#endif

22
BasicSolver/3D-mpi/src/test.c
View File

@@ -14,10 +14,10 @@
void testInit(Solver* s)
{
int imaxLocal = s->comm.imaxLocal;
int jmaxLocal = s->comm.jmaxLocal;
int kmaxLocal = s->comm.kmaxLocal;
int myrank = s->comm.rank;
int imaxLocal = s->comm->imaxLocal;
int jmaxLocal = s->comm->jmaxLocal;
int kmaxLocal = s->comm->kmaxLocal;
int myrank = s->comm->rank;
double* p = s->p;
double* f = s->f;
double* g = s->g;
@@ -76,11 +76,11 @@ static char* direction2String(Direction dir)
static void printPlane(Solver* s, double* a, int ymax, int xmax, Direction dir)
{
int imaxLocal = s->comm.imaxLocal;
int jmaxLocal = s->comm.jmaxLocal;
int kmaxLocal = s->comm.kmaxLocal;
int imaxLocal = s->comm->imaxLocal;
int jmaxLocal = s->comm->jmaxLocal;
int kmaxLocal = s->comm->kmaxLocal;
char filename[50];
snprintf(filename, 50, "halo-%s-r%d.txt", direction2String(dir), s->comm.rank);
snprintf(filename, 50, "halo-%s-r%d.txt", direction2String(dir), s->comm->rank);
FILE* fh = fopen(filename, "w");
for (int y = 0; y < ymax; y++) {
@@ -116,9 +116,9 @@ static void printPlane(Solver* s, double* a, int ymax, int xmax, Direction dir)
void testPrintHalo(Solver* s, double* a)
{
int imaxLocal = s->comm.imaxLocal;
int jmaxLocal = s->comm.jmaxLocal;
int kmaxLocal = s->comm.kmaxLocal;
int imaxLocal = s->comm->imaxLocal;
int jmaxLocal = s->comm->jmaxLocal;
int kmaxLocal = s->comm->kmaxLocal;
printPlane(s, a, kmaxLocal + 2, imaxLocal + 2, BOTTOM);
printPlane(s, a, kmaxLocal + 2, imaxLocal + 2, TOP);

9
BasicSolver/3D-mpi/src/util.h
View File

@@ -19,4 +19,13 @@
#define ABS(a) ((a) >= 0 ? (a) : -(a))
#endif
#define P(i, j, k) p[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define F(i, j, k) f[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define G(i, j, k) g[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define H(i, j, k) h[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define U(i, j, k) u[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define V(i, j, k) v[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define W(i, j, k) w[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#define RHS(i, j, k) rhs[(k) * (imaxLocal + 2) * (jmaxLocal + 2) + (j) * (imaxLocal + 2) + (i)]
#endif // __UTIL_H_

25
BasicSolver/3D-mpi/src/vtkWriter-mpi.c
View File

@@ -46,18 +46,18 @@ static void writeHeader(VtkOptions* o)
cursor += sprintf(cursor, "DATASET STRUCTURED_POINTS\n");
cursor += sprintf(cursor,
"DIMENSIONS %d %d %d\n",
o->grid.imax,
o->grid.jmax,
o->grid.kmax);
o->grid->imax,
o->grid->jmax,
o->grid->kmax);
cursor += sprintf(cursor,
"ORIGIN %f %f %f\n",
o->grid.dx * 0.5,
o->grid.dy * 0.5,
o->grid.dz * 0.5);
cursor += sprintf(cursor, "SPACING %f %f %f\n", o->grid.dx, o->grid.dy, o->grid.dz);
o->grid->dx * 0.5,
o->grid->dy * 0.5,
o->grid->dz * 0.5);
cursor += sprintf(cursor, "SPACING %f %f %f\n", o->grid->dx, o->grid->dy, o->grid->dz);
cursor += sprintf(cursor,
"POINT_DATA %d\n",
o->grid.imax * o->grid.jmax * o->grid.kmax);
o->grid->imax * o->grid->jmax * o->grid->kmax);
if (commIsMaster(&o->comm)) {
MPI_File_write(o->fh, header, (int)strlen(header), MPI_CHAR, MPI_STATUS_IGNORE);
@@ -67,7 +67,6 @@ static void writeHeader(VtkOptions* o)
void vtkOpen(VtkOptions* o, char* problem)
{
char filename[50];
snprintf(filename, 50, "%s-p%d.vtk", problem, o->comm.size);
MPI_File_open(o->comm.comm,
filename,
@@ -98,7 +97,7 @@ void vtkScalar(VtkOptions* o, char* name, double* s)
}
int offsets[NDIMS];
commGetOffsets(&o->comm, offsets, o->grid.kmax, o->grid.jmax, o->grid.imax);
commGetOffsets(&o->comm, offsets, o->grid->kmax, o->grid->jmax, o->grid->imax);
// set global view in file
MPI_Offset disp;
@@ -108,7 +107,7 @@ void vtkScalar(VtkOptions* o, char* name, double* s)
MPI_File_get_size(o->fh, &disp);
MPI_Type_create_subarray(NDIMS,
(int[NDIMS]) { o->grid.kmax, o->grid.jmax, o->grid.imax },
(int[NDIMS]) { o->grid->kmax, o->grid->jmax, o->grid->imax },
(int[NDIMS]) { o->comm.kmaxLocal, o->comm.jmaxLocal, o->comm.imaxLocal },
offsets,
MPI_ORDER_C,
@@ -177,7 +176,7 @@ void vtkVector(VtkOptions* o, char* name, VtkVector vec)
}
int offsets[NDIMS];
commGetOffsets(&o->comm, offsets, o->grid.kmax, o->grid.jmax, o->grid.imax);
commGetOffsets(&o->comm, offsets, o->grid->kmax, o->grid->jmax, o->grid->imax);
// set global view in file
MPI_Offset disp;
@@ -190,7 +189,7 @@ void vtkVector(VtkOptions* o, char* name, VtkVector vec)
MPI_Type_commit(&vectorType);
MPI_Type_create_subarray(NDIMS,
(int[NDIMS]) { o->grid.kmax, o->grid.jmax, o->grid.imax },
(int[NDIMS]) { o->grid->kmax, o->grid->jmax, o->grid->imax },
(int[NDIMS]) { kmaxLocal, jmaxLocal, imaxLocal },
offsets,
MPI_ORDER_C,

24
BasicSolver/3D-mpi/src/vtkWriter-seq.c
View File

@@ -41,14 +41,14 @@ static void writeHeader(VtkOptions* o)
}
fprintf(o->fh, "DATASET STRUCTURED_POINTS\n");
fprintf(o->fh, "DIMENSIONS %d %d %d\n", o->grid.imax, o->grid.jmax, o->grid.kmax);
fprintf(o->fh, "DIMENSIONS %d %d %d\n", o->grid->imax, o->grid->jmax, o->grid->kmax);
fprintf(o->fh,
"ORIGIN %f %f %f\n",
o->grid.dx * 0.5,
o->grid.dy * 0.5,
o->grid.dz * 0.5);
fprintf(o->fh, "SPACING %f %f %f\n", o->grid.dx, o->grid.dy, o->grid.dz);
fprintf(o->fh, "POINT_DATA %d\n", o->grid.imax * o->grid.jmax * o->grid.kmax);
o->grid->dx * 0.5,
o->grid->dy * 0.5,
o->grid->dz * 0.5);
fprintf(o->fh, "SPACING %f %f %f\n", o->grid->dx, o->grid->dy, o->grid->dz);
fprintf(o->fh, "POINT_DATA %d\n", o->grid->imax * o->grid->jmax * o->grid->kmax);
}
void vtkOpen(VtkOptions* o, char* problem)
@@ -64,9 +64,9 @@ void vtkOpen(VtkOptions* o, char* problem)
static void writeScalar(VtkOptions* o, double* s)
{
int imax = o->grid.imax;
int jmax = o->grid.jmax;
int kmax = o->grid.kmax;
int imax = o->grid->imax;
int jmax = o->grid->jmax;
int kmax = o->grid->kmax;
for (int k = 0; k < kmax; k++) {
for (int j = 0; j < jmax; j++) {
@@ -105,9 +105,9 @@ void vtkScalar(VtkOptions* o, char* name, double* s)
static void writeVector(VtkOptions* o, VtkVector vec)
{
int imax = o->grid.imax;
int jmax = o->grid.jmax;
int kmax = o->grid.kmax;
int imax = o->grid->imax;
int jmax = o->grid->jmax;
int kmax = o->grid->kmax;
for (int k = 0; k < kmax; k++) {
for (int j = 0; j < jmax; j++) {

2
BasicSolver/3D-mpi/src/vtkWriter.h
View File

@@ -14,7 +14,7 @@
typedef enum VtkFormat { ASCII = 0, BINARY } VtkFormat;
typedef struct VtkOptions {
Grid grid;
Grid* grid;
#ifdef _VTK_WRITER_MPI
MPI_File fh;
#else

12
BasicSolver/3D-seq/Makefile
View File

@@ -40,6 +40,18 @@ $(BUILD_DIR)/%.s: %.c
.PHONY: clean distclean tags info asm format
vis:
$(info ===> GENERATE VISUALIZATION)
@gnuplot -e "filename='residual.dat'" ./residual.plot
vis_clean:
$(info ===> CLEAN VISUALIZATION)
@rm -f *.dat
@rm -f *.vtk
@rm -f *.png
clean: vis_clean
clean:
$(info ===> CLEAN)
@rm -rf $(BUILD_DIR)

9
BasicSolver/3D-seq/canal.par
View File

@@ -38,10 +38,17 @@ kmax 50 # number of interior cells in z-direction
# Time Data:
# ---------
te 100.0 # final time
te 60.0 # final time
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
# Multigrid data:
# ---------
levels 3 # Multigrid levels
presmooth 5 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Pressure Iteration Data:
# -----------------------

6
BasicSolver/3D-seq/config.mk
View File

@@ -1,12 +1,12 @@
# Supported: GCC, CLANG, ICC
TAG ?= CLANG
TAG ?= ICC
ENABLE_OPENMP ?= false
# Supported: sor, mg
# Supported: rb, mg
SOLVER ?= mg
# Run in debug settings
DEBUG ?= false
#Feature options
OPTIONS += -DARRAY_ALIGNMENT=64
#OPTIONS += -DVERBOSE
OPTIONS += -DVERBOSE
#OPTIONS += -DDEBUG

10
BasicSolver/3D-seq/dcavity.par
View File

@@ -38,10 +38,17 @@ kmax 128 # number of interior cells in z-direction
# Time Data:
# ---------
te 2.0 # final time
te 10.0 # final time
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
# Multigrid data:
# ---------
levels 3 # Multigrid levels
presmooth 20 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Pressure Iteration Data:
# -----------------------
@@ -50,5 +57,4 @@ eps 0.001 # stopping tolerance for pressure iteration
rho 0.5
omg 1.7 # relaxation parameter for SOR iteration
gamma 0.9 # upwind differencing factor gamma
levels 5 # Multigrid levels
#===============================================================================

9
BasicSolver/3D-seq/residual.plot Normal file
View File

@@ -0,0 +1,9 @@
set terminal png size 1800,768 enhanced font ,12
set output 'residual.png'
set datafile separator whitespace
set xlabel "Timestep"
set ylabel "Residual"
set logscale y 2
plot 'residual.dat' using 1:2 title "Residual"

2
BasicSolver/3D-seq/src/discretization.c
View File

@@ -106,7 +106,7 @@ void initDiscretization(Discretization* d, Parameter* p)
d->dtBound = 0.5 * d->re * 1.0 / invSqrSum;
#ifdef VERBOSE
printConfig(s);
printConfig(d);
#endif /* VERBOSE */
}

14
BasicSolver/3D-seq/src/main.c
View File

@@ -73,6 +73,9 @@ int main(int argc, char** argv)
Solver s;
initParameter(&p);
FILE* fp;
fp = initResidualWriter();
if (argc != 2) {
printf("Usage: %s <configFile>\n", argv[0]);
exit(EXIT_SUCCESS);
@@ -90,6 +93,7 @@ int main(int argc, char** argv)
double te = d.te;
double t = 0.0;
int nt = 0;
double res = 0.0;
timeStart = getTimeStamp();
while (t <= te) {
@@ -99,13 +103,16 @@ int main(int argc, char** argv)
computeFG(&d);
computeRHS(&d);
if (nt % 100 == 0) normalizePressure(&d);
solve(&s, d.p, d.rhs);
res = solve(&s, d.p, d.rhs);
adaptUV(&d);
writeResidual(fp, t, res);
t += d.dt;
nt++;
#ifdef VERBOSE
printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
printf("TIME %f , TIMESTEP %f\n", t, d.dt);
#else
printProgress(t);
#endif
@@ -123,7 +130,8 @@ int main(int argc, char** argv)
ug = allocate(64, bytesize);
vg = allocate(64, bytesize);
wg = allocate(64, bytesize);
fclose(fp);
createBulkArrays(&d, pg, ug, vg, wg);
VtkOptions opts = { .grid = d.grid };
vtkOpen(&opts, d.problem);

28
BasicSolver/3D-seq/src/parameter.c
View File

@@ -14,19 +14,21 @@
void initParameter(Parameter* param)
{
param->xlength = 1.0;
param->ylength = 1.0;
param->zlength = 1.0;
param->imax = 100;
param->jmax = 100;
param->kmax = 100;
param->itermax = 1000;
param->eps = 0.0001;
param->omg = 1.7;
param->re = 100.0;
param->gamma = 0.9;
param->tau = 0.5;
param->levels = 5;
param->xlength = 1.0;
param->ylength = 1.0;
param->zlength = 1.0;
param->imax = 100;
param->jmax = 100;
param->kmax = 100;
param->itermax = 1000;
param->eps = 0.0001;
param->omg = 1.7;
param->re = 100.0;
param->gamma = 0.9;
param->tau = 0.5;
param->levels = 5;
param->presmooth = 5;
param->postsmooth = 5;
}
void readParameter(Parameter* param, const char* filename)

1
BasicSolver/3D-seq/src/parameter.h
View File

@@ -18,6 +18,7 @@ typedef struct {
char* name;
int bcLeft, bcRight, bcBottom, bcTop, bcFront, bcBack;
double u_init, v_init, w_init, p_init;
int presmooth, postsmooth;
} Parameter;
void initParameter(Parameter*);

19
BasicSolver/3D-seq/src/progress.c
View File

@@ -49,3 +49,22 @@ void stopProgress()
printf("\n");
fflush(stdout);
}
FILE* initResidualWriter()
{
FILE* fp;
fp = fopen("residual.dat", "w");
if (fp == NULL) {
printf("Error!\n");
exit(EXIT_FAILURE);
}
return fp;
}
void writeResidual(FILE* fp, double ts, double res)
{
fprintf(fp, "%f, %f\n", ts, res);
}

3
BasicSolver/3D-seq/src/progress.h
View File

@@ -10,5 +10,6 @@
extern void initProgress(double);
extern void printProgress(double);
extern void stopProgress(void);
extern FILE* initResidualWriter(void);
extern void writeResidual(FILE*, double, double);
#endif

90
BasicSolver/3D-seq/src/solver-mg.c
View File

@@ -141,13 +141,62 @@ static double smooth(
for (int j = 1; j < jmax + 1; j++) {
for (int i = isw; i < imax + 1; i += 2) {
R(i, j, k) =
RHS(i, j, k) -
((P(i + 1, j, k) - 2.0 * P(i, j, k) + P(i - 1, j, k)) * idx2 +
(P(i, j + 1, k) - 2.0 * P(i, j, k) + P(i, j - 1, k)) * idy2 +
(P(i, j, k + 1) - 2.0 * P(i, j, k) + P(i, j, k - 1)) * idz2);
P(i, j, k) -=
factor *
(RHS(i, j, k) -
((P(i + 1, j, k) - 2.0 * P(i, j, k) + P(i - 1, j, k)) * idx2 +
(P(i, j + 1, k) - 2.0 * P(i, j, k) + P(i, j - 1, k)) *
idy2 +
(P(i, j, k + 1) - 2.0 * P(i, j, k) + P(i, j, k - 1)) *
idz2));
}
isw = 3 - isw;
}
jsw = 3 - jsw;
}
ksw = 3 - ksw;
}
}
static double calculateResidual(
Solver* s, double* p, double* rhs, int level, int imax, int jmax, int kmax)
{
double eps = s->eps;
int itermax = s->itermax;
double dx2 = s->grid->dx * s->grid->dx;
double dy2 = s->grid->dy * s->grid->dy;
double dz2 = s->grid->dz * s->grid->dz;
double idx2 = 1.0 / dx2;
double idy2 = 1.0 / dy2;
double idz2 = 1.0 / dz2;
double factor = s->omega * 0.5 * (dx2 * dy2 * dz2) /
(dy2 * dz2 + dx2 * dz2 + dx2 * dy2);
double* r = s->r[level];
double epssq = eps * eps;
int it = 0;
int pass, ksw, jsw, isw;
double res = 1.0;
ksw = 1;
for (pass = 0; pass < 2; pass++) {
jsw = ksw;
for (int k = 1; k < kmax + 1; k++) {
isw = jsw;
for (int j = 1; j < jmax + 1; j++) {
for (int i = isw; i < imax + 1; i += 2) {
R(i,
j,
k) = (RHS(i, j, k) -
((P(i + 1, j, k) - 2.0 * P(i, j, k) + P(i - 1, j, k)) *
idx2 +
(P(i, j + 1, k) - 2.0 * P(i, j, k) + P(i, j - 1, k)) *
idy2 +
(P(i, j, k + 1) - 2.0 * P(i, j, k) + P(i, j, k - 1)) *
idz2));
P(i, j, k) -= (factor * R(i, j, k));
res += (R(i, j, k) * R(i, j, k));
}
isw = 3 - isw;
@@ -167,7 +216,7 @@ static double multiGrid(
{
double res = 0.0;
// coarsest level TODO: Use direct solver?
// coarsest level
if (level == COARSEST_LEVEL) {
for (int i = 0; i < 5; i++) {
smooth(s, p, rhs, level, imax, jmax, kmax);
@@ -175,17 +224,18 @@ static double multiGrid(
return res;
}
// pre-smoothing TODO: Make smoothing steps configurable?
for (int i = 0; i < 5; i++) {
// pre-smoothing
for (int i = 0; i < s->presmooth; i++) {
smooth(s, p, rhs, level, imax, jmax, kmax);
if (level == FINEST_LEVEL) setBoundaryCondition(p, imax, jmax, kmax);
}
res = calculateResidual(s, p, rhs, level, imax, jmax, kmax);
// restrict
restrictMG(s, level, imax, jmax, kmax);
// MGSolver on residual and error.
// TODO: What if there is a rest?
multiGrid(s,
s->e[level + 1],
s->r[level + 1],
@@ -202,8 +252,8 @@ static double multiGrid(
if (level == FINEST_LEVEL) setBoundaryCondition(p, imax, jmax, kmax);
// post-smoothing
for (int i = 0; i < 5; i++) {
res = smooth(s, p, rhs, level, imax, jmax, kmax);
for (int i = 0; i < s->postsmooth; i++) {
smooth(s, p, rhs, level, imax, jmax, kmax);
if (level == FINEST_LEVEL) setBoundaryCondition(p, imax, jmax, kmax);
}
@@ -212,11 +262,13 @@ static double multiGrid(
void initSolver(Solver* s, Discretization* d, Parameter* p)
{
s->eps = p->eps;
s->omega = p->omg;
s->itermax = p->itermax;
s->levels = p->levels;
s->grid = &d->grid;
s->eps = p->eps;
s->omega = p->omg;
s->itermax = p->itermax;
s->levels = p->levels;
s->grid = &d->grid;
s->presmooth = p->presmooth;
s->postsmooth = p->postsmooth;
int imax = s->grid->imax;
int jmax = s->grid->jmax;
@@ -240,11 +292,13 @@ void initSolver(Solver* s, Discretization* d, Parameter* p)
}
}
void solve(Solver* s, double* p, double* rhs)
double solve(Solver* s, double* p, double* rhs)
{
double res = multiGrid(s, p, rhs, 0, s->grid->imax, s->grid->jmax, s->grid->kmax);
#ifdef VERBOSE
printf("Residuum: %.6f\n", res);
#endif
return res;
}

101
BasicSolver/3D-seq/src/solver-rb.c Normal file
View File

@@ -0,0 +1,101 @@
/*
* Copyright (C) NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved. This file is part of nusif-solver.
* Use of this source code is governed by a MIT style
* license that can be found in the LICENSE file.
*/
#include "solver.h"
#include "util.h"
void initSolver(Solver* s, Discretization* d, Parameter* p)
{
s->grid = &d->grid;
s->itermax = p->itermax;
s->eps = p->eps;
s->omega = p->omg;
}
double solve(Solver* s, double* p, double* rhs)
{
int imax = s->grid->imax;
int jmax = s->grid->jmax;
int kmax = s->grid->kmax;
double eps = s->eps;
int itermax = s->itermax;
double dx2 = s->grid->dx * s->grid->dx;
double dy2 = s->grid->dy * s->grid->dy;
double dz2 = s->grid->dz * s->grid->dz;
double idx2 = 1.0 / dx2;
double idy2 = 1.0 / dy2;
double idz2 = 1.0 / dz2;
double factor = s->omega * 0.5 * (dx2 * dy2 * dz2) /
(dy2 * dz2 + dx2 * dz2 + dx2 * dy2);
double epssq = eps * eps;
int it = 0;
double res = 1.0;
int pass, ksw, jsw, isw;
while ((res >= epssq) && (it < itermax)) {
res = 0.0;
ksw = 1;
for (pass = 0; pass < 2; pass++) {
jsw = ksw;
for (int k = 1; k < kmax + 1; k++) {
isw = jsw;
for (int j = 1; j < jmax + 1; j++) {
for (int i = isw; i < imax + 1; i += 2) {
double r =
RHS(i, j, k) -
((P(i + 1, j, k) - 2.0 * P(i, j, k) + P(i - 1, j, k)) * idx2 +
(P(i, j + 1, k) - 2.0 * P(i, j, k) + P(i, j - 1, k)) *
idy2 +
(P(i, j, k + 1) - 2.0 * P(i, j, k) + P(i, j, k - 1)) *
idz2);
P(i, j, k) -= (factor * r);
res += (r * r);
}
isw = 3 - isw;
}
jsw = 3 - jsw;
}
ksw = 3 - ksw;
}
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 1; i++) {
P(i, j, 0) = P(i, j, 1);
P(i, j, kmax + 1) = P(i, j, kmax);
}
}
for (int k = 1; k < kmax + 1; k++) {
for (int i = 1; i < imax + 1; i++) {
P(i, 0, k) = P(i, 1, k);
P(i, jmax + 1, k) = P(i, jmax, k);
}
}
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
P(0, j, k) = P(1, j, k);
P(imax + 1, j, k) = P(imax, j, k);
}
}
res = res / (double)(imax * jmax * kmax);
#ifdef DEBUG
printf("%d Residuum: %e\n", it, res);
#endif
it++;
}
#ifdef VERBOSE
printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
#endif
return res;
}

3
BasicSolver/3D-seq/src/solver.h
View File

@@ -18,9 +18,10 @@ typedef struct {
int itermax;
int levels;
double **r, **e;
int presmooth, postsmooth;
} Solver;
extern void initSolver(Solver*, Discretization*, Parameter*);
extern void solve(Solver*, double*, double*);
extern double solve(Solver*, double*, double*);
#endif

1
BasicSolver/3D-seq/src/vtkWriter.c
View File

@@ -70,6 +70,7 @@ void vtkScalar(VtkOptions* o, char* name, double* s)
exit(EXIT_FAILURE);
}
fprintf(o->fh, "SCALARS %s float\n", name);
fprintf(o->fh, "LOOKUP_TABLE default\n");
for (int k = 0; k < kmax; k++) {
for (int j = 0; j < jmax; j++) {