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VFCartFE.c
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#define VFCartFEC
#include "petsc.h"
#include "VFCartFE.h"
static const char *BCTYPE_NAME[] = {
"NONE",
"ZERO",
"ONE",
"FIXED",
"BCTYPE_NAME","",0
};
/*
Type of boundary condition:
NONE = Natural boundary condition
ZERO = homogeneous Dirichlet
ONE = inhomogenous Dirichlet fixed to one
FIXED = insert from external field (inhomogeneous Dirichlet BC)
*/
static const char *FACE_NAME[] = {
"X0","X1",
"Y0","Y1",
"Z0","Z1",
"FACE_NAME","",0
};
/*
static const char *EDGE_NAME[] = {
"X0Z0","X1Z0","Y0Z0","Y1Z0",
"X0Z1","X1Z1","Y0Z1","Y1Z1",
"X0Y0","X0Y1","X1Y0","X1Y1",
"EDGE_NAME","",0
};
*/
static const char *VERTEX_NAME[] = {
"X0Y0Z0","X1Y0Z0","X0Y1Z0","X1Y1Z0",
"X0Y0Z1","X1Y0Z1","X0Y1Z1","X1Y1Z1",
"VERTEX_NAME","",0};
#undef __FUNCT__
#define __FUNCT__ "VFCartFEInit"
/*
VFCartFEInit
(c) 2010-2012 Blaise Bourdin [email protected]
*/
extern PetscErrorCode VFCartFEInit()
{
/*
PetscErrorCode ierr;
*/
PetscFunctionBegin;
/*
ierr = PetscClassIdRegister("VFCartFEElement",&VFCartFEElement);CHKERRQ(ierr);
ierr = PetscLogEventRegister("VFCartFEElem Init",VFCartFEElement,&VFCartFEElementInitEvent);CHKERRQ(ierr);
ierr = PetscLogStageRegister("VFCartFEElem Init",&VFCartFEElementInitStage);CHKERRQ(ierr);
*/
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "VFCartFEElement1DCreate"
/*
VFCartFEElement1DCreate: Current element structures are static, so it does not really allocates, but instead
initializes the sizes
(c) 2010-2012 Blaise Bourdin [email protected]
*/
extern PetscErrorCode VFCartFEElement1DCreate(VFCartFEElement1D *e)
{
PetscFunctionBegin;
e->dim = 1;
e->ng = 3;
e->nphix = 2;
e->nphiy = 1;
e->nphiz = 1;
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "VFCartFEElement1DInit"
/*
VFCartFEElement1DInit
(c) 2010-2012 Blaise Bourdin [email protected]
*/
extern PetscErrorCode VFCartFEElement1DInit(VFCartFEElement1D *e,PetscReal lx)
{
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = VFCartFEElement1DCreate(e);CHKERRQ(ierr);
e->lx = lx;
e->ly = 0.;
e->lz = 0.;
e->weight[0] = 5.*e->lx / 18.;
e->weight[1] = 8.*e->lx / 18.;
e->weight[2] = 5.*e->lx / 18.;
/*
Value of the basis function at the integration points
*/
e->phi[0][0][0][0] = (1. + sqrt(3./5.)) * .5; e->phi[0][0][0][1] = .5; e->phi[0][0][0][2] = (1. - sqrt(3./5.)) * .5;
e->phi[0][0][1][0] = (1. - sqrt(3./5.)) * .5; e->phi[0][0][1][1] = .5; e->phi[0][0][1][2] = (1. + sqrt(3./5.)) * .5;
/*
Value of the derivative of the basis functions at the integration points
*/
e->dphi[0][0][0][0] = -1. / e->lx; e->dphi[0][0][0][1] = -1. / e->lx; e->dphi[0][0][0][2] = -1. / e->lx;
e->dphi[0][0][1][0] = 1. / e->lx; e->dphi[0][0][1][1] = 1. / e->lx; e->dphi[0][0][1][2] = 1. / e->lx;
ierr = PetscLogFlops(24);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "VFCartFEElement2DCreate"
/*
VFCartFEElement2DCreate: Current element structures are static, so it does not really allocates, but instead
initializes the sizes
(c) 2010-2012 Blaise Bourdin [email protected]
*/
extern PetscErrorCode VFCartFEElement2DCreate(VFCartFEElement2D *e)
{
PetscFunctionBegin;
e->dim = 2;
e->ng = 9;
e->nphix = 2;
e->nphiy = 2;
e->nphiz = 1;
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "VFCartFEElement2DInit"
/*
VFCartFEElement2DInit
(c) 2010-2012 Blaise Bourdin [email protected]
*/
extern PetscErrorCode VFCartFEElement2DInit(VFCartFEElement2D *e,PetscReal lx,PetscReal ly)
{
PetscErrorCode ierr;
VFCartFEElement1D ex,ey;
PetscInt gi,gj,g; /* local and lexicographic indices of the integration points */
PetscInt i,j;
PetscFunctionBegin;
ierr = VFCartFEElement1DCreate(&ex);CHKERRQ(ierr);
ierr = VFCartFEElement1DInit(&ex,lx);CHKERRQ(ierr);
ierr = VFCartFEElement1DCreate(&ey);CHKERRQ(ierr);
ierr = VFCartFEElement1DInit(&ey,ly);CHKERRQ(ierr);
ierr = VFCartFEElement2DCreate(e);CHKERRQ(ierr);
e->lx = lx;
e->ly = ly;
e->lz = 0;
for (g = 0,gj = 0; gj < ey.ng; gj++) {
for (gi = 0; gi < ex.ng; gi++,g++) {
e->weight[g] = ey.weight[gj] * ex.weight[gi];
}
}
for (j = 0; j < e->nphiy; j++) {
for (i = 0; i < e->nphix; i++) {
for (g = 0,gj = 0; gj < ey.ng; gj++) {
for (gi = 0; gi < ex.ng; gi++,g++) {
/*
Value of the basis functions and their derivatives at the integration points
Using the conventions
phi[j][i](x,y) = phi[j](x) . phi[i](y)
\partial phi[j][i] / \partial x = phi[j]'(x) . phi[i](y)
\partial phi[j][i] / \partial y = phi[j](x) . phi[i]'(y)
*/
e->phi[0][j][i][g] = ey.phi[0][0][j][gj] * ex.phi[0][0][i][gi];
e->dphi[0][j][i][0][g] = ey.phi[0][0][j][gj] * ex.dphi[0][0][i][gi];
e->dphi[0][j][i][1][g] = ey.dphi[0][0][j][gj] * ex.phi[0][0][i][gi];
}
}
}
}
ierr = PetscLogFlops(1 + e->ng + 3 * e->ng * e->nphiy * e->nphix);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "VFCartFEElement3DCreate"
/*
VFCartFEElement3DCreate: Current element structures are static, so it does not really allocates, but instead
initializes the sizes
(c) 2010-2012 Blaise Bourdin [email protected]
*/
extern PetscErrorCode VFCartFEElement3DCreate(VFCartFEElement3D *e)
{
PetscFunctionBegin;
e->dim = 3;
e->ng = 27;
e->nphix = 2;
e->nphiy = 2;
e->nphiz = 2;
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "VFCartFEElement3DInit"
/*
VFCartFEElement3DInit
(c) 2010-2012 Blaise Bourdin [email protected]
*/
extern PetscErrorCode VFCartFEElement3DInit(VFCartFEElement3D *e,PetscReal lx,PetscReal ly,PetscReal lz)
{
PetscErrorCode ierr;
VFCartFEElement1D ex,ey,ez;
PetscInt gi,gj,gk,g; /* local and lexicographic indices of the integration points */
PetscInt i,j,k;
PetscFunctionBegin;
ierr = VFCartFEElement1DCreate(&ex);CHKERRQ(ierr);
ierr = VFCartFEElement1DInit(&ex,lx);CHKERRQ(ierr);
ierr = VFCartFEElement1DCreate(&ey);CHKERRQ(ierr);
ierr = VFCartFEElement1DInit(&ey,ly);CHKERRQ(ierr);
ierr = VFCartFEElement1DCreate(&ez);CHKERRQ(ierr);
ierr = VFCartFEElement1DInit(&ez,lz);CHKERRQ(ierr);
ierr = VFCartFEElement3DCreate(e);CHKERRQ(ierr);
e->lx = lx;
e->ly = ly;
e->lz = lz;
for (g = 0,gk = 0; gk < ez.ng; gk++) {
for (gj = 0; gj < ey.ng; gj++) {
for (gi = 0; gi < ex.ng; gi++,g++) {
e->weight[g] = ez.weight[gk] * ey.weight[gj] * ex.weight[gi];
}
}
}
for (g = 0,gk = 0; gk < ez.ng; gk++) {
for (gj = 0; gj < ey.ng; gj++) {
for (gi = 0; gi < ex.ng; gi++,g++) {
for (k = 0; k < e->nphiz; k++) {
for (j = 0; j < e->nphiy; j++) {
for (i = 0; i < e->nphix; i++) {
/*
Value of the basis functions and their derivatives at the integration points
Using the conventions
phi[i][j][k](x,y,z) = phi[i](x) . phi[j](y) . phi[k](z)
\partial phi[k][j][i] / \partial x = phi[i]'(x) . phi[j](y) . phi[k](z)
\partial phi[k][j][i] / \partial y = phi[i](x) . phi[j]'(y) . phi[k](z)
\partial phi[k][j][i] / \partial z = phi[i](x) . phi[j](y) . phi[k]'(z)
*/
e->phi[k][j][i][g] = ez.phi[0][0][k][gk] * ey.phi[0][0][j][gj] * ex.phi[0][0][i][gi];
e->dphi[k][j][i][0][g] = ez.phi[0][0][k][gk] * ey.phi[0][0][j][gj] * ex.dphi[0][0][i][gi];
e->dphi[k][j][i][1][g] = ez.phi[0][0][k][gk] * ey.dphi[0][0][j][gj] * ex.phi[0][0][i][gi];
e->dphi[k][j][i][2][g] = ez.dphi[0][0][k][gk] * ey.phi[0][0][j][gj] * ex.phi[0][0][i][gi];
}
}
}
}
}
}
ierr = PetscLogFlops(2 + 2 * e->ng + 8 * e->ng * e->nphiz * e->nphiy * e->nphix);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "VecSetFromBC"
/*
VecSetFromBC:
(c) 2014 Blaise Bourdin [email protected]
*/
extern PetscErrorCode VecSetFromBC(Vec BCVec,VFBC *BC)
{
PetscErrorCode ierr;
PetscInt xs,xm,nx;
PetscInt ys,ym,ny;
PetscInt zs,zm,nz;
PetscInt i,j,k,c;
PetscReal ****BC_array,BCValue = 0.;
PetscInt dof;
DM da;
PetscFunctionBegin;
ierr = VecGetDM(BCVec,&da);CHKERRQ(ierr);
ierr = DMDAGetInfo(da,NULL,&nx,&ny,&nz,NULL,NULL,NULL,
&dof,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
ierr = DMDAGetCorners(da,&xs,&ys,&zs,&xm,&ym,&zm);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(da,BCVec,&BC_array);CHKERRQ(ierr);
for (c = 0;c < dof;c++) {
/*
Faces
*/
if (xs == 0 && BC[c].face[X0] != NONE) {
/*
x == 0
*/
switch(BC[c].face[X0]) {
case ZERO:
BCValue = 0.;
break;
case ONE:
BCValue = 1.;
break;
case FIXED:
BCValue = BC[c].faceValue[X0];
break;
case NONE:
break;
}
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
BC_array[k][j][0][c] = BCValue;
}
}
}
if (xs + xm == nx && BC[c].face[X1] != NONE) {
/*
x == nx-1
*/
switch(BC[c].face[X1]) {
case ZERO:
BCValue = 0.;
break;
case ONE:
BCValue = 1.;
break;
case FIXED:
BCValue = BC[c].faceValue[X1];
break;
case NONE:
break;
}
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
BC_array[k][j][nx-1][c] = BCValue;
}
}
}
if (ys == 0 && BC[c].face[Y0] != NONE) {
/*
y == 0
*/
switch(BC[c].face[Y0]) {
case ZERO:
BCValue = 0.;
break;
case ONE:
BCValue = 1.;
break;
case FIXED:
BCValue = BC[c].faceValue[Y0];
break;
case NONE:
break;
}
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
BC_array[k][0][i][c] = BCValue;
}
}
}
if (ys + ym == ny && BC[c].face[Y1] != NONE) {
/*
y == ny-1
*/
switch(BC[c].face[Y1]) {
case ZERO:
BCValue = 0.;
break;
case ONE:
BCValue = 1.;
break;
case FIXED:
BCValue = BC[c].faceValue[Y1];
break;
case NONE:
break;
}
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
BC_array[k][ny-1][i][c] = BCValue;
}
}
}
if (zs == 0 && BC[c].face[Z0] != NONE) {
/*
z == 0
*/
switch(BC[c].face[Z0]) {
case ZERO:
BCValue = 0.;
break;
case ONE:
BCValue = 1.;
break;
case FIXED:
BCValue = BC[c].faceValue[Z0];
break;
case NONE:
break;
}
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
BC_array[0][j][i][c] = BCValue;
}
}
}
if (zs + zm == nz && BC[c].face[Z1] != NONE) {
/*
z == nz-1
*/
switch(BC[c].face[Z1]) {
case ZERO:
BCValue = 0.;
break;
case ONE:
BCValue = 1.;
break;
case FIXED:
BCValue = BC[c].faceValue[Z1];
break;
case NONE:
break;
}
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
BC_array[nz-1][j][i][c] = BCValue;
}
}
}
/*
edges
*/
/*
vertices
*/
if (xs == 0 && ys == 0 && zs == 0 && BC[c].vertex[X0Y0Z0] == FIXED) BC_array[0][0][0][c] = BC[c].vertexValue[X0Y0Z0];
if (xs == 0 && ys == 0 && zs == 0 && BC[c].vertex[X0Y0Z0] == ONE) BC_array[0][0][0][c] = 1.;
if (xs == 0 && ys == 0 && zs == 0 && BC[c].vertex[X0Y0Z0] == ZERO) BC_array[0][0][0][c] = 0.;
if (xs == 0 && ys == 0 && zs + zm == nz && BC[c].vertex[X0Y0Z1] == FIXED) BC_array[nz-1][0][0][c] = BC[c].vertexValue[X0Y0Z1];
if (xs == 0 && ys == 0 && zs + zm == nz && BC[c].vertex[X0Y0Z1] == ONE) BC_array[nz-1][0][0][c] = 1.;
if (xs == 0 && ys == 0 && zs + zm == nz && BC[c].vertex[X0Y0Z1] == ZERO) BC_array[nz-1][0][0][c] = 0.;
if (xs == 0 && ys + ym == ny && zs == 0 && BC[c].vertex[X0Y1Z0] == FIXED) BC_array[0][ny-1][0][c] = BC[c].vertexValue[X0Y1Z0];
if (xs == 0 && ys + ym == ny && zs == 0 && BC[c].vertex[X0Y1Z0] == ONE) BC_array[0][ny-1][0][c] = 1.;
if (xs == 0 && ys + ym == ny && zs == 0 && BC[c].vertex[X0Y1Z0] == ZERO) BC_array[0][ny-1][0][c] = 0.;
if (xs == 0 && ys + ym == ny && zs + zm == nz && BC[c].vertex[X0Y1Z1] == FIXED) BC_array[nz-1][ny-1][0][c] = BC[c].vertexValue[X0Y1Z1];
if (xs == 0 && ys + ym == ny && zs + zm == nz && BC[c].vertex[X0Y1Z1] == ONE) BC_array[nz-1][ny-1][0][c] = 1.;
if (xs == 0 && ys + ym == ny && zs + zm == nz && BC[c].vertex[X0Y1Z1] == ZERO) BC_array[nz-1][ny-1][0][c] = 0.;
if (xs + xm == nx && ys == 0 && zs == 0 && BC[c].vertex[X1Y0Z0] == FIXED) BC_array[0][0][nx-1][c] = BC[c].vertexValue[X1Y0Z0];
if (xs + xm == nx && ys == 0 && zs == 0 && BC[c].vertex[X1Y0Z0] == ONE) BC_array[0][0][nx-1][c] = 1.;
if (xs + xm == nx && ys == 0 && zs == 0 && BC[c].vertex[X1Y0Z0] == ZERO) BC_array[0][0][nx-1][c] = 0.;
if (xs + xm == nx && ys == 0 && zs + zm == nz && BC[c].vertex[X1Y0Z1] == FIXED) BC_array[nz-1][0][nx-1][c] = BC[c].vertexValue[X1Y0Z1];
if (xs + xm == nx && ys == 0 && zs + zm == nz && BC[c].vertex[X1Y0Z1] == ONE) BC_array[nz-1][0][nx-1][c] = 1.;
if (xs + xm == nx && ys == 0 && zs + zm == nz && BC[c].vertex[X1Y0Z1] == ZERO) BC_array[nz-1][0][nx-1][c] = 0.;
if (xs + xm == nx && ys + ym == ny && zs == 0 && BC[c].vertex[X1Y1Z0] == FIXED) BC_array[0][ny-1][nx-1][c] = BC[c].vertexValue[X1Y1Z0];
if (xs + xm == nx && ys + ym == ny && zs == 0 && BC[c].vertex[X1Y1Z0] == ONE) BC_array[0][ny-1][nx-1][c] = 1.;
if (xs + xm == nx && ys + ym == ny && zs == 0 && BC[c].vertex[X1Y1Z0] == ZERO) BC_array[0][ny-1][nx-1][c] = 0.;
if (xs + xm == nx && ys + ym == ny && zs + zm == nz && BC[c].vertex[X1Y1Z1] == FIXED) BC_array[nz-1][ny-1][nx-1][c] = BC[c].vertexValue[X1Y1Z1];
if (xs + xm == nx && ys + ym == ny && zs + zm == nz && BC[c].vertex[X1Y1Z1] == ONE) BC_array[nz-1][ny-1][nx-1][c] = 1.;
if (xs + xm == nx && ys + ym == ny && zs + zm == nz && BC[c].vertex[X1Y1Z1] == ZERO) BC_array[nz-1][ny-1][nx-1][c] = 0.;
}
ierr = DMDAVecRestoreArrayDOF(da,BCVec,&BC_array);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "VecApplyDirichletBC"
/*
VecApplyDirichletBC
(c) 2010-2012 Blaise Bourdin [email protected]
*/
extern PetscErrorCode VecApplyDirichletBC(Vec RHS,Vec BCU,VFBC *BC)
{
PetscErrorCode ierr;
PetscInt xs,xm,nx;
PetscInt ys,ym,ny;
PetscInt zs,zm,nz;
PetscInt i,j,k,c;
PetscReal ****RHS_array;
PetscReal ****BCU_array;
PetscInt dim,dof;
DM da;
PetscFunctionBegin;
ierr = VecGetDM(RHS,&da);CHKERRQ(ierr);
ierr = DMDAGetInfo(da,&dim,&nx,&ny,&nz,NULL,NULL,NULL,
&dof,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
ierr = DMDAGetCorners(da,&xs,&ys,&zs,&xm,&ym,&zm);CHKERRQ(ierr);
if (dim == 2) {
ierr = PetscMalloc(sizeof(PetscReal ***),&RHS_array);CHKERRQ(ierr);
ierr = PetscMalloc(sizeof(PetscReal ***),&BCU_array);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(da,RHS,&RHS_array[0]);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(da,BCU,&BCU_array[0]);CHKERRQ(ierr);
} else {
ierr = DMDAVecGetArrayDOF(da,RHS,&RHS_array);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(da,BCU,&BCU_array);CHKERRQ(ierr);
}
for (c = 0;c < dof;c++) {
/*
Faces
*/
if (xs == 0) {
/*
x == 0
*/
i = 0;
if (BC[c].face[X0] == FIXED) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
RHS_array[k][j][i][c] = BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[X0] == ONE) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
RHS_array[k][j][i][c] = 1.;
}
}
}
if (BC[c].face[X0] == ZERO) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
RHS_array[k][j][i][c] = 0.;
}
}
}
}
if (xs + xm == nx) {
/*
x == nx-1
*/
i = nx-1;
if (BC[c].face[X1] == FIXED) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
RHS_array[k][j][i][c] = BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[X1] == ONE) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
RHS_array[k][j][i][c] = 1.;
}
}
}
if (BC[c].face[X1] == ZERO) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
RHS_array[k][j][i][c] = 0.;
}
}
}
}
if (ys == 0) {
/*
y == 0
*/
j = 0;
if (BC[c].face[Y0] == FIXED) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[Y0] == ONE) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = 1.;
}
}
}
if (BC[c].face[Y0] == ZERO) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = 0.;
}
}
}
}
if (ys + ym == ny) {
/*
y == ny-1
*/
j = ny-1;
if (BC[c].face[Y1] == FIXED) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[Y1] == ONE) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = 1.;
}
}
}
if (BC[c].face[Y1] == ZERO) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = 0.;
}
}
}
}
if (dim == 3) {
if (zs == 0) {
/*
z == 0
*/
k = 0;
if (BC[c].face[Z0] == FIXED) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[Z0] == ONE) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = 1.;
}
}
}
if (BC[c].face[Z0] == ZERO) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = 0.;
}
}
}
}
if (zs + zm == nz) {
/*
z == nz-1
*/
k = nz-1;
if (BC[c].face[Z1] == FIXED) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[Z1] == ONE) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = 1.;
}
}
}
if (BC[c].face[Z1] == ZERO) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
RHS_array[k][j][i][c] = 0.;
}
}
}
}
}
/*
edges
*/
/*
vertices
*/
if (xs == 0 && ys == 0 && zs == 0 && BC[c].vertex[X0Y0Z0] == FIXED) RHS_array[0][0][0][c] = BCU_array[0][0][0][c];
if (xs == 0 && ys == 0 && zs == 0 && BC[c].vertex[X0Y0Z0] == ONE) RHS_array[0][0][0][c] = 1.;
if (xs == 0 && ys == 0 && zs == 0 && BC[c].vertex[X0Y0Z0] == ZERO) RHS_array[0][0][0][c] = 0.;
if (xs == 0 && ys == 0 && zs + zm == nz && BC[c].vertex[X0Y0Z1] == FIXED) RHS_array[nz-1][0][0][c] = BCU_array[nz-1][0][0][c];
if (xs == 0 && ys == 0 && zs + zm == nz && BC[c].vertex[X0Y0Z1] == ONE) RHS_array[nz-1][0][0][c] = 1.;
if (xs == 0 && ys == 0 && zs + zm == nz && BC[c].vertex[X0Y0Z1] == ZERO) RHS_array[nz-1][0][0][c] = 0.;
if (xs == 0 && ys + ym == ny && zs == 0 && BC[c].vertex[X0Y1Z0] == FIXED) RHS_array[0][ny-1][0][c] = BCU_array[0][ny-1][0][c];
if (xs == 0 && ys + ym == ny && zs == 0 && BC[c].vertex[X0Y1Z0] == ONE) RHS_array[0][ny-1][0][c] = 1.;
if (xs == 0 && ys + ym == ny && zs == 0 && BC[c].vertex[X0Y1Z0] == ZERO) RHS_array[0][ny-1][0][c] = 0.;
if (xs == 0 && ys + ym == ny && zs + zm == nz && BC[c].vertex[X0Y1Z1] == FIXED) RHS_array[nz-1][ny-1][0][c] = BCU_array[nz-1][ny-1][0][c];
if (xs == 0 && ys + ym == ny && zs + zm == nz && BC[c].vertex[X0Y1Z1] == ONE) RHS_array[nz-1][ny-1][0][c] = 1.;
if (xs == 0 && ys + ym == ny && zs + zm == nz && BC[c].vertex[X0Y1Z1] == ZERO) RHS_array[nz-1][ny-1][0][c] = 0.;
if (xs + xm == nx && ys == 0 && zs == 0 && BC[c].vertex[X1Y0Z0] == FIXED) RHS_array[0][0][nx-1][c] = BCU_array[0][0][nx-1][c];
if (xs + xm == nx && ys == 0 && zs == 0 && BC[c].vertex[X1Y0Z0] == ONE) RHS_array[0][0][nx-1][c] = 1.;
if (xs + xm == nx && ys == 0 && zs == 0 && BC[c].vertex[X1Y0Z0] == ZERO) RHS_array[0][0][nx-1][c] = 0.;
if (xs + xm == nx && ys == 0 && zs + zm == nz && BC[c].vertex[X1Y0Z1] == FIXED) RHS_array[nz-1][0][nx-1][c] = BCU_array[nz-1][0][nx-1][c];
if (xs + xm == nx && ys == 0 && zs + zm == nz && BC[c].vertex[X1Y0Z1] == ONE) RHS_array[nz-1][0][nx-1][c] = 1.;
if (xs + xm == nx && ys == 0 && zs + zm == nz && BC[c].vertex[X1Y0Z1] == ZERO) RHS_array[nz-1][0][nx-1][c] = 0.;
if (xs + xm == nx && ys + ym == ny && zs == 0 && BC[c].vertex[X1Y1Z0] == FIXED) RHS_array[0][ny-1][nx-1][c] = BCU_array[0][ny-1][nx-1][c];
if (xs + xm == nx && ys + ym == ny && zs == 0 && BC[c].vertex[X1Y1Z0] == ONE) RHS_array[0][ny-1][nx-1][c] = 1.;
if (xs + xm == nx && ys + ym == ny && zs == 0 && BC[c].vertex[X1Y1Z0] == ZERO) RHS_array[0][ny-1][nx-1][c] = 0.;
if (xs + xm == nx && ys + ym == ny && zs + zm == nz && BC[c].vertex[X1Y1Z1] == FIXED) RHS_array[nz-1][ny-1][nx-1][c] = BCU_array[nz-1][ny-1][nx-1][c];
if (xs + xm == nx && ys + ym == ny && zs + zm == nz && BC[c].vertex[X1Y1Z1] == ONE) RHS_array[nz-1][ny-1][nx-1][c] = 1.;
if (xs + xm == nx && ys + ym == ny && zs + zm == nz && BC[c].vertex[X1Y1Z1] == ZERO) RHS_array[nz-1][ny-1][nx-1][c] = 0.;
}
if (dim == 2) {
ierr = DMDAVecRestoreArrayDOF(da,RHS,&RHS_array[0]);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOF(da,BCU,&BCU_array[0]);CHKERRQ(ierr);
ierr = PetscFree(RHS_array);CHKERRQ(ierr);
ierr = PetscFree(BCU_array);CHKERRQ(ierr);
} else {
ierr = DMDAVecRestoreArrayDOF(da,RHS,&RHS_array);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOF(da,BCU,&BCU_array);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "ResidualApplyDirichletBC"
/*
ResidualApplyDirichletBC
(c) 2010-2012 Blaise Bourdin [email protected]
*/
extern PetscErrorCode ResidualApplyDirichletBC(Vec residual,Vec U,Vec BCU,VFBC *BC)
{
PetscErrorCode ierr;
PetscInt xs,xm,nx;
PetscInt ys,ym,ny;
PetscInt zs,zm,nz;
PetscInt i,j,k,c;
DM da;
PetscReal ****residual_array;
PetscReal ****BCU_array,****U_array;
PetscInt dim,dof;
PetscFunctionBegin;
ierr = VecGetDM(residual,&da);CHKERRQ(ierr);
ierr = DMDAGetInfo(da,&dim,&nx,&ny,&nz,NULL,NULL,NULL,
&dof,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
ierr = DMDAGetCorners(da,&xs,&ys,&zs,&xm,&ym,&zm);CHKERRQ(ierr);
if (dim == 2) {
ierr = PetscMalloc(sizeof(PetscReal ***),&residual_array);CHKERRQ(ierr);
ierr = PetscMalloc(sizeof(PetscReal ***),&BCU_array);CHKERRQ(ierr);
ierr = PetscMalloc(sizeof(PetscReal ***),&U_array);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(da,residual,&residual_array[0]);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOFRead(da,BCU,&BCU_array[0]);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOFRead(da,U,&U_array[0]);CHKERRQ(ierr);
} else {
ierr = DMDAVecGetArrayDOF(da,residual,&residual_array);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOFRead(da,BCU,&BCU_array);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOFRead(da,U,&U_array);CHKERRQ(ierr);
}
for (c = 0;c < dof;c++) {
/*
Faces
*/
if (xs == 0) {
/*
x == 0
*/
i = 0;
if (BC[c].face[X0] == FIXED) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[X0] == ONE) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-1.;
}
}
}
if (BC[c].face[X0] == ZERO) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
residual_array[k][j][i][c] = U_array[k][j][i][c];
}
}
}
}
if (xs + xm == nx) {
/*
x == nx-1
*/
i = nx-1;
if (BC[c].face[X1] == FIXED) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[X1] == ONE) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-1.;
}
}
}
if (BC[c].face[X1] == ZERO) {
for (k = zs; k < zs + zm; k++) {
for (j = ys; j < ys + ym; j++) {
residual_array[k][j][i][c] = U_array[k][j][i][c];
}
}
}
}
if (ys == 0) {
/*
y == 0
*/
j = 0;
if (BC[c].face[Y0] == FIXED) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[Y0] == ONE) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-1;
}
}
}
if (BC[c].face[Y0] == ZERO) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c];
}
}
}
}
if (ys + ym == ny) {
/*
y == ny-1
*/
j = ny-1;
if (BC[c].face[Y1] == FIXED) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[Y1] == ONE) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-1.;
}
}
}
if (BC[c].face[Y1] == ZERO) {
for (k = zs; k < zs + zm; k++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c];
}
}
}
}
if (dim == 3) {
if (zs == 0) {
/*
z == 0
*/
k = 0;
if (BC[c].face[Z0] == FIXED) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[Z0] == ONE) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-1.;
}
}
}
if (BC[c].face[Z0] == ZERO) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c];
}
}
}
}
if (zs + zm == nz) {
/*
z == nz-1
*/
k = nz-1;
if (BC[c].face[Z1] == FIXED) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-BCU_array[k][j][i][c];
}
}
}
if (BC[c].face[Z1] == ONE) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c]-1.;
}
}
}
if (BC[c].face[Z1] == ZERO) {
for (j = ys; j < ys + ym; j++) {
for (i = xs; i < xs + xm; i++) {
residual_array[k][j][i][c] = U_array[k][j][i][c];
}
}
}
}
}
/*
edges
*/
/*
vertices
*/
if (xs == 0 && ys == 0 && zs == 0 && BC[c].vertex[X0Y0Z0] == FIXED) residual_array[0][0][0][c] = U_array[0][0][0][c]-BCU_array[0][0][0][c];
if (xs == 0 && ys == 0 && zs == 0 && BC[c].vertex[X0Y0Z0] == ONE) residual_array[0][0][0][c] = U_array[0][0][0][c]-1.;
if (xs == 0 && ys == 0 && zs == 0 && BC[c].vertex[X0Y0Z0] == ZERO) residual_array[0][0][0][c] = U_array[0][0][0][c];
if (xs == 0 && ys == 0 && zs + zm == nz && BC[c].vertex[X0Y0Z1] == FIXED) residual_array[nz-1][0][0][c] = U_array[nz-1][0][0][c]-BCU_array[nz-1][0][0][c];
if (xs == 0 && ys == 0 && zs + zm == nz && BC[c].vertex[X0Y0Z1] == ONE) residual_array[nz-1][0][0][c] = U_array[nz-1][0][0][c]-1.;
if (xs == 0 && ys == 0 && zs + zm == nz && BC[c].vertex[X0Y0Z1] == ZERO) residual_array[nz-1][0][0][c] = U_array[nz-1][0][0][c];
if (xs == 0 && ys + ym == ny && zs == 0 && BC[c].vertex[X0Y1Z0] == FIXED) residual_array[0][ny-1][0][c] = U_array[0][ny-1][0][c]-BCU_array[0][ny-1][0][c];
if (xs == 0 && ys + ym == ny && zs == 0 && BC[c].vertex[X0Y1Z0] == ONE) residual_array[0][ny-1][0][c] = U_array[0][ny-1][0][c]-1.;
if (xs == 0 && ys + ym == ny && zs == 0 && BC[c].vertex[X0Y1Z0] == ZERO) residual_array[0][ny-1][0][c] = U_array[0][ny-1][0][c];
if (xs == 0 && ys + ym == ny && zs + zm == nz && BC[c].vertex[X0Y1Z1] == FIXED) residual_array[nz-1][ny-1][0][c] = U_array[nz-1][ny-1][0][c]-BCU_array[nz-1][ny-1][0][c];
if (xs == 0 && ys + ym == ny && zs + zm == nz && BC[c].vertex[X0Y1Z1] == ONE) residual_array[nz-1][ny-1][0][c] = U_array[nz-1][ny-1][0][c]-1.;
if (xs == 0 && ys + ym == ny && zs + zm == nz && BC[c].vertex[X0Y1Z1] == ZERO) residual_array[nz-1][ny-1][0][c] = U_array[nz-1][ny-1][0][c];
if (xs + xm == nx && ys == 0 && zs == 0 && BC[c].vertex[X1Y0Z0] == FIXED) residual_array[0][0][nx-1][c] = U_array[0][0][nx-1][c]-BCU_array[0][0][nx-1][c];
if (xs + xm == nx && ys == 0 && zs == 0 && BC[c].vertex[X1Y0Z0] == ONE) residual_array[0][0][nx-1][c] = U_array[0][0][nx-1][c]-1.;
if (xs + xm == nx && ys == 0 && zs == 0 && BC[c].vertex[X1Y0Z0] == ZERO) residual_array[0][0][nx-1][c] = U_array[0][0][nx-1][c];
if (xs + xm == nx && ys == 0 && zs + zm == nz && BC[c].vertex[X1Y0Z1] == FIXED) residual_array[nz-1][0][nx-1][c] = U_array[nz-1][0][nx-1][c]-BCU_array[nz-1][0][nx-1][c];
if (xs + xm == nx && ys == 0 && zs + zm == nz && BC[c].vertex[X1Y0Z1] == ONE) residual_array[nz-1][0][nx-1][c] = U_array[nz-1][0][nx-1][c]-1.;
if (xs + xm == nx && ys == 0 && zs + zm == nz && BC[c].vertex[X1Y0Z1] == ZERO) residual_array[nz-1][0][nx-1][c] = U_array[nz-1][0][nx-1][c];
if (xs + xm == nx && ys + ym == ny && zs == 0 && BC[c].vertex[X1Y1Z0] == FIXED) residual_array[0][ny-1][nx-1][c] = U_array[0][ny-1][nx-1][c]-BCU_array[0][ny-1][nx-1][c];
if (xs + xm == nx && ys + ym == ny && zs == 0 && BC[c].vertex[X1Y1Z0] == ONE) residual_array[0][ny-1][nx-1][c] = U_array[0][ny-1][nx-1][c]-1.;
if (xs + xm == nx && ys + ym == ny && zs == 0 && BC[c].vertex[X1Y1Z0] == ZERO) residual_array[0][ny-1][nx-1][c] = U_array[0][ny-1][nx-1][c];
if (xs + xm == nx && ys + ym == ny && zs + zm == nz && BC[c].vertex[X1Y1Z1] == FIXED) residual_array[nz-1][ny-1][nx-1][c] = U_array[nz-1][ny-1][nx-1][c]-BCU_array[nz-1][ny-1][nx-1][c];
if (xs + xm == nx && ys + ym == ny && zs + zm == nz && BC[c].vertex[X1Y1Z1] == ONE) residual_array[nz-1][ny-1][nx-1][c] = U_array[nz-1][ny-1][nx-1][c]-1.;
if (xs + xm == nx && ys + ym == ny && zs + zm == nz && BC[c].vertex[X1Y1Z1] == ZERO) residual_array[nz-1][ny-1][nx-1][c] = U_array[nz-1][ny-1][nx-1][c];
}
if (dim == 2) {
ierr = DMDAVecRestoreArrayDOF(da,residual,&residual_array[0]);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOFRead(da,BCU,&BCU_array[0]);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOFRead(da,U,&U_array[0]);CHKERRQ(ierr);
ierr = PetscFree(residual_array);CHKERRQ(ierr);
ierr = PetscFree(BCU_array);CHKERRQ(ierr);
ierr = PetscFree(U_array);CHKERRQ(ierr);
} else {
ierr = DMDAVecRestoreArrayDOF(da,residual,&residual_array);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOFRead(da,BCU,&BCU_array);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOFRead(da,U,&U_array);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
#undef __FUNCT__