EnhancedSolver port complete

This commit is contained in:
2024-07-27 02:19:56 +02:00
parent 8091c714e2
commit d81313f293
199 changed files with 16030 additions and 310 deletions

View File

@@ -0,0 +1,88 @@
#=======================================================================================
# Copyright (C) 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 = $(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 += $(BUILD_DIR)/solver-$(SOLVER).o
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
vis:
$(info ===> GENERATE VISUALIZATION)
@gnuplot -e "filename='residual.dat'" ./residual.plot
vis_clean:
$(info ===> CLEAN VISUALIZATION)
@rm -f *.dat
@rm -f vtk_files/*.vtk
@rm -f *.png
@rm -f *.vtk
clean: vis_clean
clean:
$(info ===> CLEAN)
@rm -rf $(BUILD_DIR)
@rm -f tags
distclean: clean
$(info ===> DIST CLEAN)
@rm -f $(TARGET)
@rm -f *.dat
@rm -f *.png
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)

View File

@@ -0,0 +1,78 @@
# 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
```

View File

@@ -0,0 +1,89 @@
#==============================================================================
# Laminar Canal Flow
#==============================================================================
# Problem specific Data:
# ---------------------
name backstep # 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 36000.0 # 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 1.0 # initial value for pressure
# Geometry Data:
# -------------
xlength 7.0 # domain size in x-direction
ylength 1.5 # domain size in y-direction
zlength 1.0 # domain size in z-direction
imax 210 # number of interior cells in x-direction
jmax 45 # number of interior cells in y-direction
kmax 30 # number of interior cells in z-direction
# Time Data:
# ---------
te 40.0 # 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
rho 0.52
omg 1.7 # relaxation parameter for SOR iteration
gamma 0.9 # upwind differencing factor gamma
# Multigrid data:
# ---------
levels 3 # Multigrid levels
presmooth 20 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Particle Tracing Data:
# -----------------------
numberOfParticles 2000
startTime 0
injectTimePeriod 1.0
writeTimePeriod 0.2
x1 0.0
y1 0.5
z1 0.0
x2 0.0
y2 1.5
z2 1.0
# Obstacle Geometry Data:
# -----------------------
# Shape 0 disable, 1 Rectangle/Square, 2 Circle
shape 1
xCenter 0.0
yCenter 0.0
zCenter 0.0
xRectLength 2.0
yRectLength 1.0
zRectLength 2.0
circleRadius 1.0
#===============================================================================

View File

@@ -0,0 +1,88 @@
#==============================================================================
# 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 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 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 40 # number of interior cells in y-direction
kmax 40 # number of interior cells in z-direction
# Time Data:
# ---------
te 60.0 # 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 0.52
omg 1.7 # relaxation parameter for SOR iteration
gamma 0.9 # upwind differencing factor gamma
# Multigrid data:
# ---------
levels 3 # Multigrid levels
presmooth 5 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Particle Tracing Data:
# -----------------------
numberOfParticles 200
startTime 10
injectTimePeriod 2.0
writeTimePeriod 1.0
x1 0.0
y1 0.0
z1 0.0
x2 4.0
y2 4.0
z2 4.0
# Obstacle Geometry Data:
# -----------------------
# Shape 0 disable, 1 Rectangle/Square, 2 Circle
shape 0
xCenter 10.0
yCenter 2.0
zCenter 2.0
xRectLength 8.0
yRectLength 2.0
zRectLength 2.0
circleRadius 1.0
#===============================================================================

View File

@@ -0,0 +1,12 @@
# Supported: GCC, CLANG, ICC
TAG ?= ICC
ENABLE_OPENMP ?= false
# Supported: rb, mg
SOLVER ?= mg
# Run in debug settings
DEBUG ?= false
#Feature options
OPTIONS += -DARRAY_ALIGNMENT=64
OPTIONS += -DVERBOSE
#OPTIONS += -DDEBUG

View File

@@ -0,0 +1,88 @@
#==============================================================================
# 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 80 # number of interior cells in x-direction
jmax 80 # number of interior cells in y-direction
kmax 80 # number of interior cells in z-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)
# Pressure Iteration Data:
# -----------------------
itermax 1000 # maximal number of pressure iteration in one time step
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
# Multigrid data:
# ---------
levels 2 # Multigrid levels
presmooth 20 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Particle Tracing Data:
# -----------------------
numberOfParticles 200
startTime 0
injectTimePeriod 1.0
writeTimePeriod 0.1
x1 0.0
y1 0.1
z1 0.0
x2 1.0
y2 0.1
z2 1.0
# Obstacle Geometry Data:
# -----------------------
# Shape 0 disable, 1 Rectangle/Square, 2 Circle
shape 0
xCenter 0.5
yCenter 0.5
zCenter 0.5
xRectLength 0.25
yRectLength 0.25
zRectLength 0.25
circleRadius 0.25
#===============================================================================

View File

@@ -0,0 +1,19 @@
CC = clang
GCC = cc
LINKER = $(CC)
ifeq ($(strip $(ENABLE_OPENMP)),true)
OPENMP = -fopenmp
#OPENMP = -Xpreprocessor -fopenmp #required on Macos with homebrew libomp
LIBS = # -lomp
endif
ifeq ($(strip $(DEBUG)),true)
CFLAGS = -O0 -g -std=c17
else
CFLAGS = -O3 -std=c17 $(OPENMP)
endif
VERSION = --version
LFLAGS = $(OPENMP) -lm
DEFINES = -D_GNU_SOURCE
INCLUDES =

View File

@@ -0,0 +1,14 @@
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 =

View File

@@ -0,0 +1,14 @@
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 =

View File

@@ -0,0 +1,89 @@
#==============================================================================
# Laminar Canal Flow
#==============================================================================
# Problem specific Data:
# ---------------------
name karman # 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 5050.0 # 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 8.0 # domain size in y-direction
zlength 8.0 # domain size in z-direction
imax 200 # number of interior cells in x-direction
jmax 80 # number of interior cells in y-direction
kmax 80 # number of interior cells in z-direction
# Time Data:
# ---------
te 250.0 # final time
dt 0.02 # time stepsize
tau 0.5 # safety factor for time stepsize control (<0 constant delt)
# Pressure Iteration Data:
# -----------------------
itermax 200 # maximal number of pressure iteration in one time step
eps 0.001 # stopping tolerance for pressure iteration
rho 0.52
omg 1.75 # relaxation parameter for SOR iteration
gamma 0.9 # upwind differencing factor gamma
# Multigrid data:
# ---------
levels 3 # Multigrid levels
presmooth 20 # Pre-smoothning iterations
postsmooth 5 # Post-smoothning iterations
# Particle Tracing Data:
# -----------------------
numberOfParticles 500
startTime 50
injectTimePeriod 1.0
writeTimePeriod 1.0
x1 0.0
y1 3.6
z1 3.6
x2 0.0
y2 4.7
z2 4.7
# Obstacle Geometry Data:
# -----------------------
# Shape 0 disable, 1 Rectangle/Square, 2 Circle
shape 2
xCenter 5.0
yCenter 4.0
zCenter 4.0
xRectLength 8.0
yRectLength 2.0
zRectLength 2.0
circleRadius 2.0
#===============================================================================

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"

View File

@@ -0,0 +1,38 @@
/*
* Copyright (C) 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;
}

View File

@@ -0,0 +1,13 @@
/*
* Copyright (C) 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

File diff suppressed because it is too large Load Diff

View File

@@ -0,0 +1,86 @@
/*
* 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"
enum OBJECTBOUNDARY {
FLUID = 0,
/* Front Corners */
FRONTTOPLEFTCORNER,
FRONTTOPRIGHTCORNER,
FRONTBOTTOMLEFTCORNER,
FRONTBOTTOMRIGHTCORNER,
/* Back Corners */
BACKTOPLEFTCORNER,
BACKTOPRIGHTCORNER,
BACKBOTTOMLEFTCORNER,
BACKBOTTOMRIGHTCORNER,
/* Faces */
FRONTFACE,
BACKFACE,
LEFTFACE,
RIGHTFACE,
TOPFACE,
BOTTOMFACE,
/* Front Lines remaining after Corners and Faces */
FRONTLEFTLINE,
FRONTRIGHTLINE,
FRONTTOPLINE,
FRONTBOTTOMLINE,
/* Bottom Lines remaining after Corners and Faces */
BACKLEFTLINE,
BACKRIGHTLINE,
BACKTOPLINE,
BACKBOTTOMLINE,
/* Mid Lines remaining after Corners and Faces */
MIDTOPLEFTLINE,
MIDTOPRIGHTLINE,
MIDBOTTOMLEFTLINE,
MIDBOTTOMRIGHTLINE,
/* Local where its an object but not a boundary */
OBSTACLE,
/*Ghost cells boundary */
OUTSIDEBOUNDARY
};
enum BC { NOSLIP = 1, SLIP, OUTFLOW, PERIODIC };
enum SHAPE { NOSHAPE = 0, RECT, CIRCLE };
typedef struct {
/* geometry and grid information */
Grid grid;
/* arrays */
double *p, *rhs;
double *f, *g, *h;
double *u, *v, *w;
double* s;
/* parameters */
double eps, omega;
double re, tau, gamma;
double gx, gy, gz;
/* time stepping */
double dt, te;
double dtBound;
char* problem;
int bcLeft, bcRight, bcBottom, bcTop, bcFront, bcBack;
} Discretization;
extern void initDiscretization(Discretization*, Parameter*);
extern void computeRHS(Discretization*);
extern void normalizePressure(Discretization*);
extern void computeTimestep(Discretization*);
extern void setBoundaryConditions(Discretization*);
extern void setObjectBoundaryCondition(Discretization*);
extern void setSpecialBoundaryCondition(Discretization*);
extern void computeFG(Discretization*);
extern void adaptUV(Discretization*);
#endif

View File

@@ -0,0 +1,16 @@
/*
* 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 __GRID_H_
#define __GRID_H_
typedef struct {
double dx, dy, dz;
int imax, jmax, kmax;
double xlength, ylength, zlength;
} Grid;
#endif // __GRID_H_

View File

@@ -0,0 +1,54 @@
/*
* =======================================================================================
*
* 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*/

View File

@@ -0,0 +1,157 @@
/*
* Copyright (C) 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 <stdio.h>
#include <stdlib.h>
#include <unistd.h>
#include "allocate.h"
#include "discretization.h"
#include "parameter.h"
#include "particletracing.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(
Discretization* 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 p;
Discretization d;
Solver s;
ParticleTracer particletracer;
initParameter(&p);
FILE* fp;
fp = initResidualWriter();
if (argc != 2) {
printf("Usage: %s <configFile>\n", argv[0]);
exit(EXIT_SUCCESS);
}
readParameter(&p, argv[1]);
printParameter(&p);
initDiscretization(&d, &p);
initSolver(&s, &d, &p);
initParticleTracer(&particletracer, &p);
printParticleTracerParameters(&particletracer);
#ifndef VERBOSE
initProgress(d.te);
#endif
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(&d);
setBoundaryConditions(&d);
setSpecialBoundaryCondition(&d);
setObjectBoundaryCondition(&d);
computeFG(&d);
computeRHS(&d);
if (nt % 100 == 0) normalizePressure(&d);
res = solve(&s, d.p, d.rhs);
adaptUV(&d);
trace(&particletracer, d.u, d.v, d.w, d.s, t);
writeResidual(fp, t, res);
t += d.dt;
nt++;
#ifdef VERBOSE
printf("TIME %f , TIMESTEP %f\n", t, d.dt);
#else
printProgress(t);
#endif
}
timeStop = getTimeStamp();
stopProgress();
printf("Solution took %.2fs\n", timeStop - timeStart);
timeStart = getTimeStamp();
double *pg, *ug, *vg, *wg;
size_t bytesize = (size_t)(d.grid.imax * d.grid.jmax * d.grid.kmax) * sizeof(double);
pg = allocate(64, bytesize);
ug = allocate(64, bytesize);
vg = allocate(64, bytesize);
wg = allocate(64, bytesize);
fclose(fp);
freeParticles(&particletracer);
createBulkArrays(&d, pg, ug, vg, wg);
VtkOptions opts = { .grid = d.grid };
vtkOpen(&opts, d.problem);
vtkScalar(&opts, "pressure", pg);
vtkVector(&opts, "velocity", (VtkVector) { ug, vg, wg });
vtkClose(&opts);
timeStop = getTimeStamp();
printf("Result output took %.2fs\n", timeStop - timeStart);
return EXIT_SUCCESS;
}

View File

@@ -0,0 +1,153 @@
/*
* 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 <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;
param->levels = 5;
param->presmooth = 5;
param->postsmooth = 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_INT(levels);
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);
/* Added new particle tracing parameters */
PARSE_INT(numberOfParticles);
PARSE_REAL(startTime);
PARSE_REAL(injectTimePeriod);
PARSE_REAL(writeTimePeriod);
PARSE_REAL(x1);
PARSE_REAL(y1);
PARSE_REAL(z1);
PARSE_REAL(x2);
PARSE_REAL(y2);
PARSE_REAL(z2);
/* Added obstacle geometry parameters */
PARSE_INT(shape);
PARSE_REAL(xCenter);
PARSE_REAL(yCenter);
PARSE_REAL(zCenter);
PARSE_REAL(xRectLength);
PARSE_REAL(yRectLength);
PARSE_REAL(zRectLength);
PARSE_REAL(circleRadius);
}
}
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);
printf("\tMultiGrid levels : %d\n", param->levels);
}

View File

@@ -0,0 +1,35 @@
/*
* 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 __PARAMETER_H_
#define __PARAMETER_H_
typedef struct {
int imax, jmax, kmax;
double xlength, ylength, zlength;
int itermax, levels;
double eps, omg, rho;
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;
int presmooth, postsmooth;
int numberOfParticles;
double startTime, injectTimePeriod, writeTimePeriod;
double x1, y1, z1, x2, y2, z2;
int shape;
double xCenter, yCenter, zCenter, xRectLength, yRectLength, zRectLength, circleRadius;
} Parameter;
void initParameter(Parameter*);
void readParameter(Parameter*, const char*);
void printParameter(Parameter*);
#endif

View File

@@ -0,0 +1,313 @@
/*
* 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 "discretization.h"
#include "vtkWriter.h"
#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 S(i, j, k) s[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
static int ts = 0;
unsigned int seed = 32767;
void printParticles(ParticleTracer* particletracer)
{
for (int i = 0; i < particletracer->totalParticles; ++i) {
printf("Particle position X : %.2f, Y : %.2f, flag : %d\n",
particletracer->particlePool[i].x,
particletracer->particlePool[i].y,
particletracer->particlePool[i].flag);
}
}
void injectParticles(ParticleTracer* particletracer, double* s)
{
int imax = particletracer->imax;
int jmax = particletracer->jmax;
int kmax = particletracer->kmax;
for (int i = 0; i < particletracer->numberOfParticles; ++i) {
particletracer->particlePool[particletracer->pointer].x =
(((double)rand() / RAND_MAX) * (particletracer->x2 - particletracer->x1)) +
particletracer->x1;
particletracer->particlePool[particletracer->pointer].y =
(((double)rand() / RAND_MAX) * (particletracer->y2 - particletracer->y1)) +
particletracer->y1;
particletracer->particlePool[particletracer->pointer].z =
(((double)rand() / RAND_MAX) * (particletracer->z2 - particletracer->z1)) +
particletracer->z1;
int i = particletracer->particlePool[particletracer->pointer].x /
particletracer->dx;
int j = particletracer->particlePool[particletracer->pointer].y /
particletracer->dy;
int k = particletracer->particlePool[particletracer->pointer].z /
particletracer->dz;
if (S(i, j, k) == FLUID) {
particletracer->particlePool[particletracer->pointer].flag = true;
++(particletracer->pointer);
++(particletracer->totalParticles);
} else
particletracer->particlePool[particletracer->pointer].flag = false;
}
}
void advanceParticles(ParticleTracer* particletracer,
double* restrict u,
double* restrict v,
double* restrict w,
double* restrict s,
double time)
{
int imax = particletracer->imax;
int jmax = particletracer->jmax;
int kmax = particletracer->kmax;
double dx = particletracer->dx;
double dy = particletracer->dy;
double dz = particletracer->dz;
double xlength = particletracer->xlength;
double ylength = particletracer->ylength;
double zlength = particletracer->zlength;
for (int i = 0; i < particletracer->totalParticles; ++i) {
if (particletracer->particlePool[i].flag == true) {
double x = particletracer->particlePool[i].x;
double y = particletracer->particlePool[i].y;
double z = particletracer->particlePool[i].z;
int iCoord = (int)(x / dx) + 1;
int jCoord = (int)((y + 0.5 * dy) / dy) + 1;
int kCoord = (int)((z + 0.5 * dz) / dz) + 1;
double x1 = (double)(iCoord - 1) * dx;
double y1 = ((double)(jCoord - 1) - 0.5) * dy;
double z1 = ((double)(kCoord - 1) - 0.5) * dz;
double x2 = (double)iCoord * dx;
double y2 = ((double)jCoord - 0.5) * dy;
double z2 = ((double)kCoord - 0.5) * dz;
double u_n =
(1.0 / (dx * dy * dz)) *
((x2 - x) * (y2 - y) * (z2 - z) * U(iCoord - 1, jCoord - 1, kCoord - 1) +
(x - x1) * (y2 - y) * (z2 - z) * U(iCoord, jCoord - 1, kCoord - 1) +
(x2 - x) * (y - y1) * (z2 - z) * U(iCoord - 1, jCoord, kCoord - 1) +
(x - x1) * (y - y1) * (z2 - z) * U(iCoord, jCoord, kCoord - 1) +
(x2 - x) * (y2 - y) * (z - z1) * U(iCoord - 1, jCoord - 1, kCoord) +
(x - x1) * (y2 - y) * (z - z1) * U(iCoord, jCoord - 1, kCoord) +
(x2 - x) * (y - y1) * (z - z1) * U(iCoord - 1, jCoord, kCoord) +
(x - x1) * (y - y1) * (z - z1) * U(iCoord, jCoord, kCoord));
double new_x = x + particletracer->dt * u_n;
particletracer->particlePool[i].x = new_x;
iCoord = (int)((x + 0.5 * dx) / dx) + 1;
jCoord = (int)(y / dy) + 1;
kCoord = (int)((z + 0.5 * dz) / dz) + 1;
x1 = ((double)(iCoord - 1) - 0.5) * dx;
y1 = (double)(jCoord - 1) * dy;
z1 = ((double)(kCoord - 1) - 0.5) * dz;
x2 = ((double)iCoord - 0.5) * dx;
y2 = (double)jCoord * dy;
z2 = ((double)kCoord - 0.5) * dz;
double v_n =
(1.0 / (dx * dy * dz)) *
((x2 - x) * (y2 - y) * (z2 - z) * V(iCoord - 1, jCoord - 1, kCoord - 1) +
(x - x1) * (y2 - y) * (z2 - z) * V(iCoord, jCoord - 1, kCoord - 1) +
(x2 - x) * (y - y1) * (z2 - z) * V(iCoord - 1, jCoord, kCoord - 1) +
(x - x1) * (y - y1) * (z2 - z) * V(iCoord, jCoord, kCoord - 1) +
(x2 - x) * (y2 - y) * (z - z1) * V(iCoord - 1, jCoord - 1, kCoord) +
(x - x1) * (y2 - y) * (z - z1) * V(iCoord, jCoord - 1, kCoord) +
(x2 - x) * (y - y1) * (z - z1) * V(iCoord - 1, jCoord, kCoord) +
(x - x1) * (y - y1) * (z - z1) * V(iCoord, jCoord, kCoord));
double new_y = y + particletracer->dt * v_n;
particletracer->particlePool[i].y = new_y;
iCoord = (int)((x + 0.5 * dx) / dx) + 1;
jCoord = (int)((y + 0.5 * dy) / dy) + 1;
kCoord = (int)(z / dz) + 1;
x1 = ((double)(iCoord - 1) - 0.5) * dx;
y1 = ((double)(jCoord - 1) - 0.5) * dy;
z1 = (double)(kCoord - 1) * dz;
x2 = ((double)iCoord - 0.5) * dx;
y2 = ((double)jCoord - 0.5) * dy;
z2 = (double)kCoord * dz;
double w_n =
(1.0 / (dx * dy * dz)) *
((x2 - x) * (y2 - y) * (z2 - z) * W(iCoord - 1, jCoord - 1, kCoord - 1) +
(x - x1) * (y2 - y) * (z2 - z) * W(iCoord, jCoord - 1, kCoord - 1) +
(x2 - x) * (y - y1) * (z2 - z) * W(iCoord - 1, jCoord, kCoord - 1) +
(x - x1) * (y - y1) * (z2 - z) * W(iCoord, jCoord, kCoord - 1) +
(x2 - x) * (y2 - y) * (z - z1) * W(iCoord - 1, jCoord - 1, kCoord) +
(x - x1) * (y2 - y) * (z - z1) * W(iCoord, jCoord - 1, kCoord) +
(x2 - x) * (y - y1) * (z - z1) * W(iCoord - 1, jCoord, kCoord) +
(x - x1) * (y - y1) * (z - z1) * W(iCoord, jCoord, kCoord));
double new_z = z + particletracer->dt * w_n;
particletracer->particlePool[i].z = new_z;
if (((new_x < 0.0) || (new_x > xlength) || (new_y < 0.0) ||
(new_y > ylength) || (new_z < 0.0) || (new_z > zlength))) {
particletracer->particlePool[i].flag = false;
particletracer->removedParticles++;
}
int i_new = new_x / dx, j_new = new_y / dy, k_new = new_z / dz;
if (S(i_new, j_new, k_new) != FLUID) {
particletracer->particlePool[i].flag = false;
particletracer->removedParticles++;
}
}
}
}
void freeParticles(ParticleTracer* particletracer) { free(particletracer->particlePool); }
void writeParticles(ParticleTracer* particletracer)
{
VtkOptions opts = { .particletracer = particletracer };
compress(particletracer);
char filename[50];
snprintf(filename, 50, "vtk_files/particles%d.vtk", ts);
vtkOpenPT(&opts, filename, ts);
vtkParticle(&opts, "particle");
vtkClose(&opts);
++ts;
}
void initParticleTracer(ParticleTracer* particletracer, Parameter* params)
{
particletracer->numberOfParticles = params->numberOfParticles;
particletracer->startTime = params->startTime;
particletracer->injectTimePeriod = params->injectTimePeriod;
particletracer->writeTimePeriod = params->writeTimePeriod;
particletracer->dt = params->dt;
particletracer->dx = params->xlength / params->imax;
particletracer->dy = params->ylength / params->jmax;
particletracer->dz = params->zlength / params->kmax;
particletracer->xlength = params->xlength;
particletracer->ylength = params->ylength;
particletracer->zlength = params->zlength;
particletracer->x1 = params->x1;
particletracer->y1 = params->y1;
particletracer->z1 = params->z1;
particletracer->x2 = params->x2;
particletracer->y2 = params->y2;
particletracer->z2 = params->z2;
particletracer->lastInjectTime = params->startTime;
particletracer->lastUpdateTime = params->startTime;
particletracer->lastWriteTime = params->startTime;
particletracer->pointer = 0;
particletracer->totalParticles = 0;
particletracer->removedParticles = 0;
particletracer->imax = params->imax;
particletracer->jmax = params->jmax;
particletracer->kmax = params->kmax;
particletracer->estimatedNumParticles = ((params->te - params->startTime) + 2) *
params->numberOfParticles;
particletracer->particlePool = malloc(
sizeof(Particle) * particletracer->estimatedNumParticles);
}
void printParticleTracerParameters(ParticleTracer* particletracer)
{
printf("Particle Tracing data:\n");
printf("\tNumber of particles : %d being injected for every period of %.2f\n",
particletracer->numberOfParticles,
particletracer->injectTimePeriod);
printf("\tstartTime : %.2f\n", particletracer->startTime);
printf("\t(Line along which the particles are to be injected) \n\tx1 : %.2f, y1 : "
"%.2f, z1 : %.2f, x2 : %.2f, y2 : %.2f, z2 : %.2f\n",
particletracer->x1,
particletracer->y1,
particletracer->z1,
particletracer->x2,
particletracer->y2,
particletracer->z2);
printf("\tPointer : %d, TotalParticles : %d\n",
particletracer->pointer,
particletracer->totalParticles);
printf("\tdt : %.2f, dx : %.2f, dy : %.2f, dz : %.2f\n",
particletracer->dt,
particletracer->dx,
particletracer->dy,
particletracer->dz);
}
void trace(ParticleTracer* particletracer,
double* u,
double* v,
double* w,
double* s,
double time)
{
if (time >= particletracer->startTime) {
// printParticles(particletracer);
if ((time - particletracer->lastInjectTime) >= particletracer->injectTimePeriod) {
injectParticles(particletracer, s);
particletracer->lastInjectTime = time;
}
if ((time - particletracer->lastWriteTime) >= particletracer->writeTimePeriod) {
writeParticles(particletracer);
particletracer->lastWriteTime = time;
}
advanceParticles(particletracer, u, v, w, s, time);
if (particletracer->removedParticles > (particletracer->totalParticles * 0.2)) {
compress(particletracer);
}
particletracer->lastUpdateTime = time;
}
}
void compress(ParticleTracer* particletracer)
{
Particle* memPool = particletracer->particlePool;
Particle tempPool[particletracer->totalParticles];
int totalParticles = 0;
for (int i = 0; i < particletracer->totalParticles; ++i) {
if (memPool[i].flag == true) {
tempPool[totalParticles].x = memPool[i].x;
tempPool[totalParticles].y = memPool[i].y;
tempPool[totalParticles].z = memPool[i].z;
tempPool[totalParticles].flag = memPool[i].flag;
++totalParticles;
}
}
particletracer->totalParticles = totalParticles;
particletracer->removedParticles = 0;
particletracer->pointer = totalParticles + 1;
memcpy(particletracer->particlePool, tempPool, totalParticles * sizeof(Particle));
}

View File

@@ -0,0 +1,46 @@
/*
* 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 __PARTICLETRACING_H_
#define __PARTICLETRACING_H_
#include "allocate.h"
#include "parameter.h"
#include <stdbool.h>
typedef enum COORD { X = 0, Y, NCOORD } COORD;
typedef struct {
double x, y, z;
bool flag;
} Particle;
typedef struct {
int numberOfParticles, totalParticles;
double startTime, injectTimePeriod, writeTimePeriod, lastInjectTime, lastUpdateTime,
lastWriteTime;
int estimatedNumParticles, activeParticles, removedParticles;
double dx, dy, dz, dt;
Particle* particlePool;
int pointer;
double imax, jmax, kmax, xlength, ylength, zlength;
double x1, y1, x2, y2, z1, z2;
} ParticleTracer;
extern void initParticleTracer(ParticleTracer*, Parameter*);
extern void injectParticles(ParticleTracer*, double*);
extern void advanceParticles(ParticleTracer*, double*, double*, double*, double*, double);
extern void freeParticles(ParticleTracer*);
extern void writeParticles(ParticleTracer*);
extern void printParticleTracerParameters(ParticleTracer*);
extern void printParticles(ParticleTracer*);
extern void compress(ParticleTracer*);
extern void trace(ParticleTracer*, double*, double*, double*, double*, double);
#endif

View File

@@ -0,0 +1,70 @@
/*
* 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 <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);
}
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);
}

View File

@@ -0,0 +1,15 @@
/*
* Copyright (C) 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(void);
extern FILE* initResidualWriter(void);
extern void writeResidual(FILE*, double, double);
#endif

View File

@@ -0,0 +1,304 @@
/*
* 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) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#define E(i, j, k) e[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#define R(i, j, k) r[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#define OLD(i, j, k) old[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
static void restrictMG(Solver* s, int level, int imax, int jmax, int kmax)
{
double* r = s->r[level + 1];
double* old = s->r[level];
for (int k = 1; k < kmax + 1; k++) {
for (int j = 1; j < jmax + 1; j++) {
for (int i = 1; i < imax + 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, int imax, int jmax, int kmax)
{
double* old = s->r[level + 1];
double* e = s->r[level];
for (int k = 2; k < kmax + 1; k += 2) {
for (int j = 2; j < jmax + 1; j += 2) {
for (int i = 2; i < imax + 1; i += 2) {
E(i, j, k) = OLD(i / 2, j / 2, k / 2);
}
}
}
}
static void correct(Solver* s, double* p, int level, int imax, int jmax, int kmax)
{
double* e = s->e[level];
for (int k = 1; k < kmax + 1; ++k) {
for (int j = 1; j < jmax + 1; ++j) {
for (int i = 1; i < imax + 1; ++i) {
P(i, j, k) += E(i, j, k);
}
}
}
}
static void setBoundaryCondition(double* p, int imax, int jmax, int kmax)
{
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);
}
}
}
static double smooth(
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) {
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));
res += (R(i, j, k) * R(i, j, k));
}
isw = 3 - isw;
}
jsw = 3 - jsw;
}
ksw = 3 - ksw;
}
res = res / (double)(imax * jmax * kmax);
return res;
}
static double multiGrid(
Solver* s, double* p, double* rhs, int level, int imax, int jmax, int kmax)
{
double res = 0.0;
// coarsest level
if (level == COARSEST_LEVEL) {
for (int i = 0; i < 5; i++) {
smooth(s, p, rhs, level, imax, jmax, kmax);
}
return res;
}
// 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.
multiGrid(s,
s->e[level + 1],
s->r[level + 1],
level + 1,
imax / 2,
jmax / 2,
kmax / 2);
// prolongate
prolongate(s, level, imax, jmax, kmax);
// correct p on finer level using residual
correct(s, p, level, imax, jmax, kmax);
if (level == FINEST_LEVEL) setBoundaryCondition(p, imax, jmax, kmax);
// post-smoothing
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);
}
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;
int imax = s->grid->imax;
int jmax = s->grid->jmax;
int kmax = s->grid->kmax;
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) * (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->grid->imax, s->grid->jmax, s->grid->kmax);
#ifdef VERBOSE
printf("Residuum: %.6f\n", res);
#endif
return res;
}

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;
}

View File

@@ -0,0 +1,27 @@
/*
* 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 __SOLVER_H_
#define __SOLVER_H_
#include "discretization.h"
#include "grid.h"
#include "parameter.h"
typedef struct {
/* geometry and grid information */
Grid* grid;
/* parameters */
double eps, omega, rho;
int itermax;
int levels;
double **r, **e;
int presmooth, postsmooth;
} Solver;
extern void initSolver(Solver*, Discretization*, Parameter*);
extern double solve(Solver*, double*, double*);
#endif

View File

@@ -0,0 +1,22 @@
/*
* Copyright (C) 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;
}

View File

@@ -0,0 +1,13 @@
/*
* Copyright (C) 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_

View File

@@ -0,0 +1,32 @@
/*
* Copyright (C) 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
#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 S(i, j, k) s[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#define RHS(i, j, k) rhs[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)]
#endif // __UTIL_H_

View File

@@ -0,0 +1,198 @@
/*
* 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 <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\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;
}
static void writeHeaderPT(VtkOptions* o, int ts)
{
fprintf(o->fh, "# vtk DataFile Version 3.0\n");
fprintf(o->fh, "PAMPI cfd solver particle tracing file\n");
if (o->fmt == ASCII) {
fprintf(o->fh, "ASCII\n");
} else if (o->fmt == BINARY) {
fprintf(o->fh, "BINARY\n");
}
fprintf(o->fh, "DATASET UNSTRUCTURED_GRID\n");
fprintf(o->fh, "FIELD FieldData 2\n");
fprintf(o->fh, "TIME 1 1 double\n");
fprintf(o->fh, "%d\n", ts);
fprintf(o->fh, "CYCLE 1 1 int\n");
fprintf(o->fh, "1\n");
}
void vtkOpenPT(VtkOptions* o, char* problem, int ts)
{
o->fh = fopen(problem, "w");
if (o->fh == NULL) {
printf("vtkWriter not initialize! Call vtkOpen first!\n");
exit(EXIT_FAILURE);
}
writeHeaderPT(o, ts);
// printf("Writing VTK output for %s\n", problem);
}
void vtkParticle(VtkOptions* o, char* name)
{
Particle* particlePool = o->particletracer->particlePool;
if (o->fh == NULL) {
printf("vtkWriter not initialize! Call vtkOpen first!\n");
exit(EXIT_FAILURE);
}
fprintf(o->fh, "POINTS %d float\n", o->particletracer->totalParticles);
for (int i = 0; i < o->particletracer->totalParticles; ++i) {
double x = particlePool[i].x;
double y = particlePool[i].y;
double z = particlePool[i].z;
fprintf(o->fh, "%.2f %.2f %.2f\n", x, y, z);
}
fprintf(o->fh,
"CELLS %d %d\n",
o->particletracer->totalParticles,
2 * o->particletracer->totalParticles);
for (int i = 0; i < o->particletracer->totalParticles; ++i) {
fprintf(o->fh, "1 %d\n", i);
}
fprintf(o->fh, "CELL_TYPES %d\n", o->particletracer->totalParticles);
for (int i = 0; i < o->particletracer->totalParticles; ++i) {
fprintf(o->fh, "1\n");
}
}

View File

@@ -0,0 +1,34 @@
/*
* 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 __VTKWRITER_H_
#define __VTKWRITER_H_
#include <stdio.h>
#include "grid.h"
#include "particletracing.h"
typedef enum VtkFormat { ASCII = 0, BINARY } VtkFormat;
typedef struct VtkOptions {
VtkFormat fmt;
Grid grid;
FILE* fh;
ParticleTracer* particletracer;
} 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);
extern void vtkOpenPT(VtkOptions* opts, char* filename, int ts);
extern void vtkParticle(VtkOptions* opts, char* name);
#endif // __VTKWRITER_H_