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Jan Eitzinger
2023-02-05 07:34:23 +01:00
parent b41d8eb7cc
commit 213e633a4d
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71
BasicSolver/3D-seq/Makefile Normal file
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#=======================================================================================
# Copyright (C) 2022 NHR@FAU, University Erlangen-Nuremberg.
# All rights reserved.
# Use of this source code is governed by a MIT-style
# license that can be found in the LICENSE file.
#=======================================================================================
#CONFIGURE BUILD SYSTEM
TARGET = exe-$(TAG)
BUILD_DIR = ./$(TAG)
SRC_DIR = ./src
MAKE_DIR = ./
Q ?= @
#DO NOT EDIT BELOW
include $(MAKE_DIR)/config.mk
include $(MAKE_DIR)/include_$(TAG).mk
INCLUDES += -I$(SRC_DIR) -I$(BUILD_DIR)
VPATH = $(SRC_DIR)
SRC = $(wildcard $(SRC_DIR)/*.c)
ASM = $(patsubst $(SRC_DIR)/%.c, $(BUILD_DIR)/%.s, $(SRC))
OBJ = $(patsubst $(SRC_DIR)/%.c, $(BUILD_DIR)/%.o, $(SRC))
SOURCES = $(SRC) $(wildcard $(SRC_DIR)/*.h)
CPPFLAGS := $(CPPFLAGS) $(DEFINES) $(OPTIONS) $(INCLUDES)
${TARGET}: $(BUILD_DIR) $(OBJ)
$(info ===> LINKING $(TARGET))
$(Q)${LINKER} ${LFLAGS} -o $(TARGET) $(OBJ) $(LIBS)
$(BUILD_DIR)/%.o: %.c $(MAKE_DIR)/include_$(TAG).mk $(MAKE_DIR)/config.mk
$(info ===> COMPILE $@)
$(CC) -c $(CPPFLAGS) $(CFLAGS) $< -o $@
$(Q)$(GCC) $(CPPFLAGS) -MT $(@:.d=.o) -MM $< > $(BUILD_DIR)/$*.d
$(BUILD_DIR)/%.s: %.c
$(info ===> GENERATE ASM $@)
$(CC) -S $(CPPFLAGS) $(CFLAGS) $< -o $@
.PHONY: clean distclean tags info asm format
clean:
$(info ===> CLEAN)
@rm -rf $(BUILD_DIR)
@rm -f tags
distclean: clean
$(info ===> DIST CLEAN)
@rm -f $(TARGET)
info:
$(info $(CFLAGS))
$(Q)$(CC) $(VERSION)
asm: $(BUILD_DIR) $(ASM)
tags:
$(info ===> GENERATE TAGS)
$(Q)ctags -R
format:
@for src in $(SOURCES) ; do \
echo "Formatting $$src" ; \
clang-format -i $$src ; \
done
@echo "Done"
$(BUILD_DIR):
@mkdir $(BUILD_DIR)
-include $(OBJ:.o=.d)

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BasicSolver/3D-seq/README.md Normal file
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# C source skeleton
## Build
1. Configure the toolchain and additional options in `config.mk`:
```
# Supported: GCC, CLANG, ICC
TAG ?= GCC
ENABLE_OPENMP ?= false
OPTIONS += -DARRAY_ALIGNMENT=64
#OPTIONS += -DVERBOSE
#OPTIONS += -DVERBOSE_AFFINITY
#OPTIONS += -DVERBOSE_DATASIZE
#OPTIONS += -DVERBOSE_TIMER
```
The verbosity options enable detailed output about solver, affinity settings, allocation sizes and timer resolution.
For debugging you may want to set the VERBOSE option:
```
# Supported: GCC, CLANG, ICC
TAG ?= GCC
ENABLE_OPENMP ?= false
OPTIONS += -DARRAY_ALIGNMENT=64
OPTIONS += -DVERBOSE
#OPTIONS += -DVERBOSE_AFFINITY
#OPTIONS += -DVERBOSE_DATASIZE
#OPTIONS += -DVERBOSE_TIMER
`
2. Build with:
```
make
```
You can build multiple toolchains in the same directory, but notice that the Makefile is only acting on the one currently set.
Intermediate build results are located in the `<TOOLCHAIN>` directory.
To output the executed commands use:
```
make Q=
```
3. Clean up with:
```
make clean
```
to clean intermediate build results.
```
make distclean
```
to clean intermediate build results and binary.
4. (Optional) Generate assembler:
```
make asm
```
The assembler files will also be located in the `<TOOLCHAIN>` directory.
## Usage
You have to provide a parameter file describing the problem you want to solve:
```
./exe-CLANG dcavity.par
```
Examples are given in in dcavity (a lid driven cavity test case) and canal (simulating a empty canal).
You can plot the resulting velocity and pressure fields using gnuplot:
```
gnuplot vector.plot
```
and for the pressure:
```
gnuplot surface.plot
```

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BasicSolver/3D-seq/canal.par Normal file
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#==============================================================================
# Laminar Canal Flow
#==============================================================================
# Problem specific Data:
# ---------------------
name canal # name of flow setup
bcLeft 3 # flags for boundary conditions
bcRight 3 # 1 = no-slip 3 = outflow
bcBottom 1 # 2 = free-slip 4 = periodic
bcTop 1 #
bcFront 1 #
bcBack 1 #
gx 0.0 # Body forces (e.g. gravity)
gy 0.0 #
gz 0.0 #
re 100.0 # Reynolds number
u_init 1.0 # initial value for velocity in x-direction
v_init 0.0 # initial value for velocity in y-direction
w_init 0.0 # initial value for velocity in z-direction
p_init 0.0 # initial value for pressure
# Geometry Data:
# -------------
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
# Time Data:
# ---------
te 100.0 # final time
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
# Pressure Iteration Data:
# -----------------------
itermax 500 # maximal number of pressure iteration in one time step
eps 0.0001 # stopping tolerance for pressure iteration
omg 1.7 # relaxation parameter for SOR iteration
gamma 0.9 # upwind differencing factor gamma
#===============================================================================

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BasicSolver/3D-seq/config.mk Normal file
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# Supported: GCC, CLANG, ICC
TAG ?= CLANG
ENABLE_OPENMP ?= false
#Feature options
OPTIONS += -DARRAY_ALIGNMENT=64
OPTIONS += -DVERBOSE
#OPTIONS += -DDEBUG
#OPTIONS += -DBOUNDCHECK
#OPTIONS += -DVERBOSE_AFFINITY
#OPTIONS += -DVERBOSE_DATASIZE
#OPTIONS += -DVERBOSE_TIMER

52
BasicSolver/3D-seq/dcavity.par Normal file
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#==============================================================================
# Driven Cavity
#==============================================================================
# Problem specific Data:
# ---------------------
name dcavity # name of flow setup
bcLeft 1 # flags for boundary conditions
bcRight 1 # 1 = no-slip 3 = outflow
bcBottom 1 # 2 = free-slip 4 = periodic
bcTop 1 #
bcFront 1 #
bcBack 1 #
gx 0.0 # Body forces (e.g. gravity)
gy 0.0 #
gz 0.0 #
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
w_init 0.0 # initial value for velocity in z-direction
p_init 0.0 # initial value for pressure
# Geometry Data:
# -------------
xlength 1.0 # domain size in x-direction
ylength 1.0 # domain size in y-direction
zlength 1.0 # domain size in z-direction
imax 128 # number of interior cells in x-direction
jmax 128 # number of interior cells in y-direction
kmax 128 # number of interior cells in z-direction
# Time Data:
# ---------
te 2.0 # final time
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
# Pressure Iteration Data:
# -----------------------
itermax 1000 # maximal number of pressure iteration in one time step
eps 0.001 # stopping tolerance for pressure iteration
omg 1.7 # relaxation parameter for SOR iteration
gamma 0.9 # upwind differencing factor gamma
#===============================================================================

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BasicSolver/3D-seq/include_CLANG.mk Normal file
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CC = clang
GCC = cc
LINKER = $(CC)
ifeq ($(ENABLE_OPENMP),true)
OPENMP = -fopenmp
#OPENMP = -Xpreprocessor -fopenmp #required on Macos with homebrew libomp
LIBS = # -lomp
endif
VERSION = --version
# CFLAGS = -O3 -std=c17 $(OPENMP)
CFLAGS = -Ofast -std=c17 -Weverything
#CFLAGS = -Ofast -fnt-store=aggressive -std=c99 $(OPENMP) #AMD CLANG
LFLAGS = $(OPENMP) -lm
DEFINES = -D_GNU_SOURCE# -DDEBUG
INCLUDES =

14
BasicSolver/3D-seq/include_GCC.mk Normal file
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CC = gcc
GCC = gcc
LINKER = $(CC)
ifeq ($(ENABLE_OPENMP),true)
OPENMP = -fopenmp
endif
VERSION = --version
CFLAGS = -Ofast -ffreestanding -std=c99 $(OPENMP)
LFLAGS = $(OPENMP)
DEFINES = -D_GNU_SOURCE
INCLUDES =
LIBS =

14
BasicSolver/3D-seq/include_ICC.mk Normal file
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CC = icc
GCC = gcc
LINKER = $(CC)
ifeq ($(ENABLE_OPENMP),true)
OPENMP = -qopenmp
endif
VERSION = --version
CFLAGS = -O3 -xHost -qopt-zmm-usage=high -std=c99 $(OPENMP)
LFLAGS = $(OPENMP)
DEFINES = -D_GNU_SOURCE
INCLUDES =
LIBS =

38
BasicSolver/3D-seq/src/allocate.c Normal file
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/*
* Copyright (C) 2022 NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved.
* Use of this source code is governed by a MIT-style
* license that can be found in the LICENSE file.
*/
#include <errno.h>
#include <stddef.h>
#include <stdio.h>
#include <stdlib.h>
#include "allocate.h"
void* allocate(size_t alignment, size_t bytesize)
{
int errorCode;
void* ptr;
errorCode = posix_memalign(&ptr, alignment, bytesize);
if (errorCode) {
if (errorCode == EINVAL) {
fprintf(stderr, "Error: Alignment parameter is not a power of two\n");
exit(EXIT_FAILURE);
}
if (errorCode == ENOMEM) {
fprintf(stderr, "Error: Insufficient memory to fulfill the request\n");
exit(EXIT_FAILURE);
}
}
if (ptr == NULL) {
fprintf(stderr, "Error: posix_memalign failed!\n");
exit(EXIT_FAILURE);
}
return ptr;
}

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BasicSolver/3D-seq/src/allocate.h Normal file
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/*
* Copyright (C) 2022 NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved.
* Use of this source code is governed by a MIT-style
* license that can be found in the LICENSE file.
*/
#ifndef __ALLOCATE_H_
#define __ALLOCATE_H_
#include <stdlib.h>
extern void* allocate(size_t alignment, size_t bytesize);
#endif

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BasicSolver/3D-seq/src/grid.h Normal file
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/*
* Copyright (C) 2022 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 __GRID_H_
#define __GRID_H_
typedef struct {
double dx, dy, dz;
int imax, jmax, kmax;
double xlength, ylength, zlength;
} Grid;
#endif // __GRID_H_

54
BasicSolver/3D-seq/src/likwid-marker.h Normal file
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/*
* =======================================================================================
*
* Author: Jan Eitzinger (je), jan.eitzinger@fau.de
* Copyright (c) 2020 RRZE, University Erlangen-Nuremberg
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*
* =======================================================================================
*/
#ifndef LIKWID_MARKERS_H
#define LIKWID_MARKERS_H
#ifdef LIKWID_PERFMON
#include <likwid.h>
#define LIKWID_MARKER_INIT likwid_markerInit()
#define LIKWID_MARKER_THREADINIT likwid_markerThreadInit()
#define LIKWID_MARKER_SWITCH likwid_markerNextGroup()
#define LIKWID_MARKER_REGISTER(regionTag) likwid_markerRegisterRegion(regionTag)
#define LIKWID_MARKER_START(regionTag) likwid_markerStartRegion(regionTag)
#define LIKWID_MARKER_STOP(regionTag) likwid_markerStopRegion(regionTag)
#define LIKWID_MARKER_CLOSE likwid_markerClose()
#define LIKWID_MARKER_RESET(regionTag) likwid_markerResetRegion(regionTag)
#define LIKWID_MARKER_GET(regionTag, nevents, events, time, count) \
likwid_markerGetRegion(regionTag, nevents, events, time, count)
#else /* LIKWID_PERFMON */
#define LIKWID_MARKER_INIT
#define LIKWID_MARKER_THREADINIT
#define LIKWID_MARKER_SWITCH
#define LIKWID_MARKER_REGISTER(regionTag)
#define LIKWID_MARKER_START(regionTag)
#define LIKWID_MARKER_STOP(regionTag)
#define LIKWID_MARKER_CLOSE
#define LIKWID_MARKER_GET(regionTag, nevents, events, time, count)
#define LIKWID_MARKER_RESET(regionTag)
#endif /* LIKWID_PERFMON */
#endif /*LIKWID_MARKERS_H*/

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BasicSolver/3D-seq/src/main.c Normal file
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/*
* Copyright (C) 2022 NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved.
* Use of this source code is governed by a MIT-style
* license that can be found in the LICENSE file.
*/
#include <float.h>
#include <limits.h>
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h>
#include "allocate.h"
#include "parameter.h"
#include "progress.h"
#include "solver.h"
#include "timing.h"
#include "vtkWriter.h"
#define G(v, i, j, k) v[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
static void createBulkArrays(Solver* s, double* pg, double* ug, double* vg, double* wg)
{
int imax = s->grid.imax;
int jmax = s->grid.jmax;
int kmax = s->grid.kmax;
int idx = 0;
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 1; i++) {
pg[idx++] = G(s->p, i, j, k);
}
}
}
idx = 0;
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 1; i++) {
ug[idx++] = (G(s->u, i, j, k) + G(s->u, i - 1, j, k)) / 2.0;
}
}
}
idx = 0;
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 1; i++) {
vg[idx++] = (G(s->v, i, j, k) + G(s->v, i, j - 1, k)) / 2.0;
}
}
}
idx = 0;
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 1; i++) {
wg[idx++] = (G(s->w, i, j, k) + G(s->w, i, j, k - 1)) / 2.0;
}
}
}
}
int main(int argc, char** argv)
{
double timeStart, timeStop;
Parameter params;
Solver solver;
initParameter(&params);
if (argc != 2) {
printf("Usage: %s <configFile>\n", argv[0]);
exit(EXIT_SUCCESS);
}
readParameter(&params, argv[1]);
printParameter(&params);
initSolver(&solver, &params);
#ifndef VERBOSE
initProgress(solver.te);
#endif
double tau = solver.tau;
double te = solver.te;
double t = 0.0;
int nt = 0;
timeStart = getTimeStamp();
while (t <= te) {
if (tau > 0.0) computeTimestep(&solver);
setBoundaryConditions(&solver);
setSpecialBoundaryCondition(&solver);
computeFG(&solver);
computeRHS(&solver);
solve(&solver);
adaptUV(&solver);
t += solver.dt;
nt++;
#ifdef VERBOSE
printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
#else
printProgress(t);
#endif
}
timeStop = getTimeStamp();
#ifndef VERBOSE
stopProgress();
#endif
printf("Solution took %.2fs\n", timeStop - timeStart);
double *pg, *ug, *vg, *wg;
size_t bytesize = solver.grid.imax * solver.grid.jmax * solver.grid.kmax *
sizeof(double);
pg = allocate(64, bytesize);
ug = allocate(64, bytesize);
vg = allocate(64, bytesize);
wg = allocate(64, bytesize);
createBulkArrays(&s, pg, ug, vg, wg);
VtkOptions opts = { .grid = solver.grid };
vtkOpen(&opts, solver.problem);
vtkScalar(&opts, "pressure", pg);
vtkVector(&opts, "velocity", (VtkVector) { ug, vg, wg });
vtkClose(&opts);
return EXIT_SUCCESS;
}

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BasicSolver/3D-seq/src/parameter.c Normal file
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/*
* Copyright (C) 2022 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 <string.h>
#include "parameter.h"
#include "util.h"
#define MAXLINE 4096
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;
}
void readParameter(Parameter* param, const char* filename)
{
FILE* fp = fopen(filename, "r");
char line[MAXLINE];
int i;
if (!fp) {
fprintf(stderr, "Could not open parameter file: %s\n", filename);
exit(EXIT_FAILURE);
}
while (!feof(fp)) {
line[0] = '\0';
fgets(line, MAXLINE, fp);
for (i = 0; line[i] != '\0' && line[i] != '#'; i++)
;
line[i] = '\0';
char* tok = strtok(line, " ");
char* val = strtok(NULL, " ");
#define PARSE_PARAM(p, f) \
if (strncmp(tok, #p, sizeof(#p) / sizeof(#p[0]) - 1) == 0) { \
param->p = f(val); \
}
#define PARSE_STRING(p) PARSE_PARAM(p, strdup)
#define PARSE_INT(p) PARSE_PARAM(p, atoi)
#define PARSE_REAL(p) PARSE_PARAM(p, atof)
if (tok != NULL && val != NULL) {
PARSE_REAL(xlength);
PARSE_REAL(ylength);
PARSE_REAL(zlength);
PARSE_INT(imax);
PARSE_INT(jmax);
PARSE_INT(kmax);
PARSE_INT(itermax);
PARSE_REAL(eps);
PARSE_REAL(omg);
PARSE_REAL(re);
PARSE_REAL(tau);
PARSE_REAL(gamma);
PARSE_REAL(dt);
PARSE_REAL(te);
PARSE_REAL(gx);
PARSE_REAL(gy);
PARSE_REAL(gz);
PARSE_STRING(name);
PARSE_INT(bcLeft);
PARSE_INT(bcRight);
PARSE_INT(bcBottom);
PARSE_INT(bcTop);
PARSE_INT(bcFront);
PARSE_INT(bcBack);
PARSE_REAL(u_init);
PARSE_REAL(v_init);
PARSE_REAL(w_init);
PARSE_REAL(p_init);
}
}
fclose(fp);
}
void printParameter(Parameter* param)
{
printf("Parameters for %s\n", param->name);
printf("Boundary conditions Left:%d Right:%d Bottom:%d Top:%d Front:%d "
"Back:%d\n",
param->bcLeft,
param->bcRight,
param->bcBottom,
param->bcTop,
param->bcFront,
param->bcBack);
printf("\tReynolds number: %.2f\n", param->re);
printf("\tInit arrays: U:%.2f V:%.2f W:%.2f P:%.2f\n",
param->u_init,
param->v_init,
param->w_init,
param->p_init);
printf("Geometry data:\n");
printf("\tDomain box size (x, y, z): %.2f, %.2f, %.2f\n",
param->xlength,
param->ylength,
param->zlength);
printf("\tCells (x, y, z): %d, %d, %d\n", param->imax, param->jmax, param->kmax);
printf("Timestep parameters:\n");
printf("\tDefault stepsize: %.2f, Final time %.2f\n", param->dt, param->te);
printf("\tTau factor: %.2f\n", param->tau);
printf("Iterative solver parameters:\n");
printf("\tMax iterations: %d\n", param->itermax);
printf("\tepsilon (stopping tolerance) : %f\n", param->eps);
printf("\tgamma (stopping tolerance) : %f\n", param->gamma);
printf("\tomega (SOR relaxation): %f\n", param->omg);
}

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/*
* Copyright (C) 2022 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 __PARAMETER_H_
#define __PARAMETER_H_
typedef struct {
int imax, jmax, kmax;
double xlength, ylength, zlength;
int itermax;
double eps, omg;
double re, tau, gamma;
double te, dt;
double gx, gy, gz;
char* name;
int bcLeft, bcRight, bcBottom, bcTop, bcFront, bcBack;
double u_init, v_init, w_init, p_init;
} Parameter;
void initParameter(Parameter*);
void readParameter(Parameter*, const char*);
void printParameter(Parameter*);
#endif

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/*
* Copyright (C) 2022 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 <stdlib.h>
#include <string.h>
#include "progress.h"
static double _end;
static int _current;
void initProgress(double end)
{
_end = end;
_current = 0;
printf("[ ]");
fflush(stdout);
}
void printProgress(double current)
{
int new = (int)rint((current / _end) * 10.0);
if (new > _current) {
char progress[11];
_current = new;
progress[0] = 0;
for (int i = 0; i < 10; i++) {
if (i < _current) {
sprintf(progress + strlen(progress), "#");
} else {
sprintf(progress + strlen(progress), " ");
}
}
printf("\r[%s]", progress);
}
fflush(stdout);
}
void stopProgress()
{
printf("\n");
fflush(stdout);
}

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/*
* Copyright (C) 2022 NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved.
* Use of this source code is governed by a MIT-style
* license that can be found in the LICENSE file.
*/
#ifndef __PROGRESS_H_
#define __PROGRESS_H_
extern void initProgress(double);
extern void printProgress(double);
extern void stopProgress();
#endif

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BasicSolver/3D-seq/src/solver.c Normal file
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/*
* Copyright (C) 2022 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 "parameter.h"
#include "solver.h"
#include "util.h"
#define P(i, j, k) p[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#define F(i, j, k) f[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#define G(i, j, k) g[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#define H(i, j, k) h[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#define U(i, j, k) u[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#define V(i, j, k) v[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#define W(i, j, k) w[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#define RHS(i, j, k) rhs[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
static void printConfig(Solver* s)
{
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 s 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);
}
void initSolver(Solver* 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;
int imax = s->grid.imax;
int jmax = s->grid.jmax;
int kmax = s->grid.kmax;
size_t bytesize = (imax + 2) * (jmax + 2) * (kmax + 2) * sizeof(double);
s->u = allocate(64, bytesize);
s->v = allocate(64, bytesize);
s->w = allocate(64, bytesize);
s->p = allocate(64, bytesize);
s->rhs = allocate(64, bytesize);
s->f = allocate(64, bytesize);
s->g = allocate(64, bytesize);
s->h = allocate(64, bytesize);
for (int i = 0; i < (imax + 2) * (jmax + 2) * (kmax + 2); 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 computeRHS(Solver* s)
{
int imax = s->grid.imax;
int jmax = s->grid.jmax;
int kmax = s->grid.kmax;
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;
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 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 solve(Solver* s)
{
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* p = s->p;
double* rhs = s->rhs;
double epssq = eps * eps;
int it = 0;
double res = 1.0;
while ((res >= epssq) && (it < itermax)) {
res = 0.0;
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 1; i++) {
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);
}
}
}
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
}
static double maxElement(Solver* s, double* m)
{
int size = (s->grid.imax + 2) * (s->grid.jmax + 2) * (s->grid.kmax + 2);
double maxval = DBL_MIN;
for (int i = 0; i < size; i++) {
maxval = MAX(maxval, fabs(m[i]));
}
return maxval;
}
void normalizePressure(Solver* s)
{
int size = (s->grid.imax + 2) * (s->grid.jmax + 2) * (s->grid.kmax + 2);
double* p = s->p;
double avgP = 0.0;
for (int i = 0; i < size; i++) {
avgP += p[i];
}
avgP /= size;
for (int i = 0; i < size; i++) {
p[i] = p[i] - avgP;
}
}
void computeTimestep(Solver* 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 setBoundaryConditions(Solver* s)
{
int imax = s->grid.imax;
int jmax = s->grid.jmax;
int kmax = s->grid.kmax;
double* u = s->u;
double* v = s->v;
double* w = s->w;
switch (s->bcTop) {
case NOSLIP:
for (int k = 1; k < kmax + 1; k++) {
for (int i = 1; i < imax + 1; i++) {
V(i, jmax, k) = 0.0;
U(i, jmax + 1, k) = -U(i, jmax, k);
W(i, jmax + 1, k) = -W(i, jmax, k);
}
}
break;
case SLIP:
for (int k = 1; k < kmax + 1; k++) {
for (int i = 1; i < imax + 1; i++) {
V(i, jmax, k) = 0.0;
U(i, jmax + 1, k) = U(i, jmax, k);
W(i, jmax + 1, k) = W(i, jmax, k);
}
}
break;
case OUTFLOW:
for (int k = 1; k < kmax + 1; k++) {
for (int i = 1; i < imax + 1; i++) {
U(i, jmax + 1, k) = U(i, jmax, k);
V(i, jmax, k) = V(i, jmax - 1, k);
W(i, jmax + 1, k) = W(i, jmax, k);
}
}
break;
case PERIODIC:
break;
}
switch (s->bcBottom) {
case NOSLIP:
for (int k = 1; k < kmax + 1; k++) {
for (int i = 1; i < imax + 1; i++) {
V(i, 0, k) = 0.0;
U(i, 0, k) = -U(i, 1, k);
W(i, 0, k) = -W(i, 1, k);
}
}
break;
case SLIP:
for (int k = 1; k < kmax + 1; k++) {
for (int i = 1; i < imax + 1; i++) {
V(i, 0, k) = 0.0;
U(i, 0, k) = U(i, 1, k);
W(i, 0, k) = W(i, 1, k);
}
}
break;
case OUTFLOW:
for (int k = 1; k < kmax + 1; k++) {
for (int i = 1; i < imax + 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;
}
switch (s->bcLeft) {
case NOSLIP:
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 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 < kmax + 1; k++) {
for (int j = 1; j < jmax + 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 < kmax + 1; k++) {
for (int j = 1; j < jmax + 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;
}
switch (s->bcRight) {
case NOSLIP:
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
U(imax, j, k) = 0.0;
V(imax + 1, j, k) = -V(imax, j, k);
W(imax + 1, j, k) = -W(imax, j, k);
}
}
break;
case SLIP:
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
U(imax, j, k) = 0.0;
V(imax + 1, j, k) = V(imax, j, k);
W(imax + 1, j, k) = W(imax, j, k);
}
}
break;
case OUTFLOW:
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
U(imax, j, k) = U(imax - 1, j, k);
V(imax + 1, j, k) = V(imax, j, k);
W(imax + 1, j, k) = W(imax, j, k);
}
}
break;
case PERIODIC:
break;
}
switch (s->bcFront) {
case NOSLIP:
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 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 < jmax + 1; j++) {
for (int i = 1; i < imax + 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 < jmax + 1; j++) {
for (int i = 1; i < imax + 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;
}
switch (s->bcBack) {
case NOSLIP:
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 1; i++) {
U(i, j, kmax + 1) = -U(i, j, kmax);
V(i, j, kmax + 1) = -V(i, j, kmax);
W(i, j, kmax + 1) = 0.0;
}
}
break;
case SLIP:
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 1; i++) {
U(i, j, kmax + 1) = U(i, j, kmax);
V(i, j, kmax + 1) = V(i, j, kmax);
W(i, j, kmax + 1) = 0.0;
}
}
break;
case OUTFLOW:
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 1; i++) {
U(i, j, kmax + 1) = U(i, j, kmax);
V(i, j, kmax + 1) = V(i, j, kmax);
W(i, j, kmax) = W(i, j, kmax - 1);
}
}
break;
case PERIODIC:
break;
}
}
void setSpecialBoundaryCondition(Solver* s)
{
int imax = s->grid.imax;
int jmax = s->grid.jmax;
int kmax = s->grid.kmax;
double mDy = s->grid.dy;
double* u = s->u;
if (strcmp(s->problem, "dcavity") == 0) {
for (int k = 1; k < kmax; k++) {
for (int i = 1; i < imax; i++) {
U(i, jmax + 1, k) = 2.0 - U(i, jmax, k);
}
}
} else if (strcmp(s->problem, "canal") == 0) {
double ylength = s->grid.ylength;
double y;
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
y = mDy * (j - 0.5);
U(0, j, k) = y * (ylength - y) * 4.0 / (ylength * ylength);
}
}
}
}
void computeFG(Solver* s)
{
int imax = s->grid.imax;
int jmax = s->grid.jmax;
int kmax = s->grid.kmax;
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 gamma = s->gamma;
double dt = s->dt;
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;
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 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 ---------------------------
*/
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
F(0, j, k) = U(0, j, k);
F(imax, j, k) = U(imax, j, k);
}
}
/* ----------------------------- boundary of G ---------------------------
*/
for (int k = 1; k < kmax + 1; k++) {
for (int i = 1; i < imax + 1; i++) {
G(i, 0, k) = V(i, 0, k);
G(i, jmax, k) = V(i, jmax, k);
}
}
/* ----------------------------- boundary of G ---------------------------
*/
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 1; i++) {
H(i, j, 0) = W(i, j, 0);
H(i, j, kmax) = W(i, j, kmax);
}
}
}
void adaptUV(Solver* s)
{
int imax = s->grid.imax;
int jmax = s->grid.jmax;
int kmax = s->grid.kmax;
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 < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 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;
}
}
}
}

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/*
* Copyright (C) 2022 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 __SOLVER_H_
#define __SOLVER_H_
#include "grid.h"
#include "parameter.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;
} 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 void writeResult(Solver*);
#endif

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/*
* Copyright (C) 2022 NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved.
* Use of this source code is governed by a MIT-style
* license that can be found in the LICENSE file.
*/
#include <stdlib.h>
#include <time.h>
double getTimeStamp(void)
{
struct timespec ts;
clock_gettime(CLOCK_MONOTONIC, &ts);
return (double)ts.tv_sec + (double)ts.tv_nsec * 1.e-9;
}
double getTimeResolution(void)
{
struct timespec ts;
clock_getres(CLOCK_MONOTONIC, &ts);
return (double)ts.tv_sec + (double)ts.tv_nsec * 1.e-9;
}

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/*
* Copyright (C) 2022 NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved.
* Use of this source code is governed by a MIT-style
* license that can be found in the LICENSE file.
*/
#ifndef __TIMING_H_
#define __TIMING_H_
extern double getTimeStamp(void);
extern double getTimeResolution(void);
#endif // __TIMING_H_

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/*
* Copyright (C) 2022 NHR@FAU, University Erlangen-Nuremberg.
* All rights reserved.
* Use of this source code is governed by a MIT-style
* license that can be found in the LICENSE file.
*/
#ifndef __UTIL_H_
#define __UTIL_H_
#define HLINE \
"----------------------------------------------------------------------------\n"
#ifndef MIN
#define MIN(x, y) ((x) < (y) ? (x) : (y))
#endif
#ifndef MAX
#define MAX(x, y) ((x) > (y) ? (x) : (y))
#endif
#ifndef ABS
#define ABS(a) ((a) >= 0 ? (a) : -(a))
#endif
#endif // __UTIL_H_

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/*
* Copyright (C) 2022 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 <string.h>
#include "vtkWriter.h"
#define G(v, i, j, k) v[(k)*imax * jmax + (j)*imax + (i)]
static float floatSwap(float f)
{
union {
float f;
char b[4];
} dat1, dat2;
dat1.f = f;
dat2.b[0] = dat1.b[3];
dat2.b[1] = dat1.b[2];
dat2.b[2] = dat1.b[1];
dat2.b[3] = dat1.b[0];
return dat2.f;
}
static void writeHeader(VtkOptions* o)
{
fprintf(o->fh, "# vtk DataFile Version 3.0\n");
fprintf(o->fh, "PAMPI cfd solver output\n");
if (o->fmt == ASCII) {
fprintf(o->fh, "ASCII\n");
} else if (o->fmt == BINARY) {
fprintf(o->fh, "BINARY\n");
}
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,
"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);
}
void vtkOpen(VtkOptions* o, char* problem)
{
char filename[50];
snprintf(filename, 50, "%s.vtk", problem);
o->fh = fopen(filename, "w");
writeHeader(o);
printf("Writing VTK output for %s\n", problem);
}
void vtkScalar(VtkOptions* o, char* name, double* s)
{
int imax = o->grid.imax;
int jmax = o->grid.jmax;
int kmax = o->grid.kmax;
printf("Register scalar %s\n", name);
if (o->fh == NULL) {
printf("vtkWriter not initialize! Call vtkOpen first!\n");
exit(EXIT_FAILURE);
}
fprintf(o->fh, "SCALARS %s float 1\n", name);
fprintf(o->fh, "LOOKUP_TABLE default\n");
for (int k = 0; k < kmax; k++) {
for (int j = 0; j < jmax; j++) {
for (int i = 0; i < imax; i++) {
if (o->fmt == ASCII) {
fprintf(o->fh, "%f\n", G(s, i, j, k));
} else if (o->fmt == BINARY) {
fwrite((float[1]) { floatSwap(G(s, i, j, k)) },
sizeof(float),
1,
o->fh);
}
}
}
}
if (o->fmt == BINARY) fprintf(o->fh, "\n");
}
void vtkVector(VtkOptions* o, char* name, VtkVector vec)
{
int imax = o->grid.imax;
int jmax = o->grid.jmax;
int kmax = o->grid.kmax;
if (o->fh == NULL) {
printf("vtkWriter not initialize! Call vtkOpen first!\n");
exit(EXIT_FAILURE);
}
fprintf(o->fh, "VECTORS %s float\n", name);
for (int k = 0; k < kmax; k++) {
for (int j = 0; j < jmax; j++) {
for (int i = 0; i < imax; i++) {
if (o->fmt == ASCII) {
fprintf(o->fh,
"%f %f %f\n",
G(vec.u, i, j, k),
G(vec.v, i, j, k),
G(vec.w, i, j, k));
} else if (o->fmt == BINARY) {
fwrite((float[3]) { floatSwap(G(vec.u, i, j, k)),
floatSwap(G(vec.v, i, j, k)),
floatSwap(G(vec.w, i, j, k)) },
sizeof(float),
3,
o->fh);
}
}
}
}
if (o->fmt == BINARY) fprintf(o->fh, "\n");
}
void vtkClose(VtkOptions* o)
{
fclose(o->fh);
o->fh = NULL;
}

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/*
* Copyright (C) 2022 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 __VTKWRITER_H_
#define __VTKWRITER_H_
#include <stdio.h>
#include "grid.h"
typedef enum VtkFormat { ASCII = 0, BINARY } VtkFormat;
typedef struct VtkOptions {
VtkFormat fmt;
Grid grid;
FILE* fh;
} VtkOptions;
typedef struct VtkVector {
double *u, *v, *w;
} VtkVector;
extern void vtkOpen(VtkOptions* opts, char* filename);
extern void vtkVector(VtkOptions* opts, char* name, VtkVector vec);
extern void vtkScalar(VtkOptions* opts, char* name, double* p);
extern void vtkClose(VtkOptions* opts);
#endif // __VTKWRITER_H_