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Copy pathVFFlow_TSMixedFEM.c
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VFFlow_TSMixedFEM.c
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/*
VFFlow_TSMixedFEM.c
A mixed finite elements Darcy solver based on the method in
Masud, A. and Hughes, T. J. (2002). A stabilized mixed finite element method for
Darcy flow. Computer Methods in Applied Mechanics and Engineering, 191(3940):43414370.
(c) 2011-2012 C. Chukwudozie, LSU
*/
#include "petsc.h"
#include "VFCartFE.h"
#include "VFCommon.h"
#include "VFFlow.h"
#include "VFFlow_TSMixedFEM.h"
#include "VFFlow_KSPMixedFEM.h"
/*
VFFlow_DarcyMixedFEMTS
*/
#undef __FUNCT__
#define __FUNCT__ "MixedFEMTSFlowSolverInitialize"
extern PetscErrorCode MixedFEMTSFlowSolverInitialize(VFCtx *ctx, VFFields *fields)
{
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = TSCreate(PETSC_COMM_WORLD,&ctx->tsVelP);CHKERRQ(ierr);
// ierr = TSAppendOptionsPrefix(ctx->tsVelP,"TSVelP_");CHKERRQ(ierr);
ierr = TSSetDM(ctx->tsVelP,ctx->daFlow);CHKERRQ(ierr);
ierr = TSSetProblemType(ctx->tsVelP,TS_LINEAR);CHKERRQ(ierr);
ierr = TSSetType(ctx->tsVelP,TSBEULER);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "MixedFEMTSFlowSolverFinalize"
extern PetscErrorCode MixedFEMTSFlowSolverFinalize(VFCtx *ctx,VFFields *fields)
{
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = TSDestroy(&ctx->tsVelP);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "MixedFlowFEMTSSolve"
extern PetscErrorCode MixedFlowFEMTSSolve(VFCtx *ctx,VFFields *fields)
{
PetscErrorCode ierr;
TSConvergedReason reason;
PetscReal ****VelnPress_array;
PetscReal ***Press_array;
PetscReal ****vel_array;
PetscInt i,j,k,c,veldof = 3;
PetscInt xs,xm,ys,ym,zs,zm;
PetscReal Velmin,Velmax;
PetscReal Pmin,Pmax;
PetscFunctionBegin;
/* temporary created V in ctx so V-field in fields can be in ctx */
ierr = VecSet(ctx->V,1.0);CHKERRQ(ierr);
ierr = VecCopy(fields->V,ctx->V);CHKERRQ(ierr);
/* temporary created permfield in ctx so permeability an be in ctx */
ierr = DMCreateGlobalVector(ctx->daVFperm,&ctx->Perm);CHKERRQ(ierr);
ierr = VecSet(ctx->Perm,0.0);CHKERRQ(ierr);
ierr = VecCopy(fields->vfperm,ctx->Perm);CHKERRQ(ierr);
ierr = TSSetIFunction(ctx->tsVelP,NULL,FormIFunction,ctx);CHKERRQ(ierr);
ierr = TSSetIJacobian(ctx->tsVelP,ctx->JacVelP,ctx->JacVelP,FormIJacobian,ctx);CHKERRQ(ierr);
ierr = TSSetRHSFunction(ctx->tsVelP,NULL,FormFunction,ctx);CHKERRQ(ierr);
ierr = TSSetSolution(ctx->tsVelP,fields->VelnPress);CHKERRQ(ierr);
ierr = TSSetTime(ctx->tsVelP,ctx->current_time);CHKERRQ(ierr);
ierr = TSSetTimeStep(ctx->tsVelP,ctx->timevalue);CHKERRQ(ierr);
ierr = TSSetMaxSteps(ctx->tsVelP,ctx->maxtimestep);CHKERRQ(ierr);
ierr = TSSetMaxTime(ctx->tsVelP,ctx->timevalue);CHKERRQ(ierr);
// ierr = FormInitialSolution(fields->VelnPress,fields->FlowBCArray,&ctx->bcFlow[0],ctx);CHKERRQ(ierr);
// if (ctx->verbose > 1) {
ierr = TSMonitorSet(ctx->tsVelP,MixedFEMTSMonitor,NULL,NULL);CHKERRQ(ierr);
// }
ierr = TSSetFromOptions(ctx->tsVelP);CHKERRQ(ierr);
ierr = TSSolve(ctx->tsVelP,fields->VelnPress);CHKERRQ(ierr);
ierr = TSGetStepNumber(ctx->tsVelP,&ctx->timestep);CHKERRQ(ierr);
ierr = TSGetConvergedReason(ctx->tsVelP,&reason);CHKERRQ(ierr);
// PetscPrintf(PETSC_COMM_WORLD,"%s at time %G after %D steps\n",TSConvergedReasons[reason],ctx->timevalue,ctx->timestep);
/*
if (reason < 0) {
ierr = PetscPrintf(PETSC_COMM_WORLD,"[ERROR] tsVelP diverged with reason %d\n",(int)reason);CHKERRQ(ierr);
} else {
ierr = TSGetIterationNumber(ctx->snesVelP,&its);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," tsVelP converged in %d iterations %d.\n",(int)its,(int)reason);CHKERRQ(ierr);
}
*/
ierr = DMDAGetCorners(ctx->daScal,&xs,&ys,&zs,&xm,&ym,&zm);CHKERRQ(ierr);
ierr = DMDAVecGetArray(ctx->daScal,fields->pressure,&Press_array);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(ctx->daVect,fields->velocity,&vel_array);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(ctx->daFlow,fields->VelnPress,&VelnPress_array);CHKERRQ(ierr);
for (k = zs; k < zs+zm; k++) {
for (j = ys; j < ys+ym; j++)
for (i = xs; i < xs+xm; i++) {
Press_array[k][j][i] = VelnPress_array[k][j][i][3];
for (c = 0; c < veldof; c++) vel_array[k][j][i][c] = VelnPress_array[k][j][i][c];
}
}
ierr = DMDAVecRestoreArray(ctx->daScal,fields->pressure,&Press_array);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOF(ctx->daVect,fields->velocity,&vel_array);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOF(ctx->daFlow,fields->VelnPress,&VelnPress_array);CHKERRQ(ierr);
ierr = VecDestroy(&ctx->Perm);CHKERRQ(ierr);
ierr = VecMin(fields->velocity,NULL,&Velmin);CHKERRQ(ierr);
ierr = VecMax(fields->velocity,NULL,&Velmax);CHKERRQ(ierr);
ierr = VecMin(fields->pressure,NULL,&Pmin);CHKERRQ(ierr);
ierr = VecMax(fields->pressure,NULL,&Pmax);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Velocity min / max: %e %e\n",Velmin,Velmax);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Pressure min / max: %e %e\n",Pmin,Pmax);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "MixedFEMTSMonitor"
extern PetscErrorCode MixedFEMTSMonitor(TS ts,PetscInt timestep,PetscReal timevalue,Vec VelnPress,void * ptr)
{
PetscErrorCode ierr;
PetscReal norm,vmax,vmin;
MPI_Comm comm;
PetscFunctionBegin;
ierr = VecNorm(VelnPress,NORM_1,&norm);CHKERRQ(ierr);
ierr = VecMax(VelnPress,NULL,&vmax);CHKERRQ(ierr);
ierr = VecMin(VelnPress,NULL,&vmin);CHKERRQ(ierr);
ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
ierr = PetscPrintf(comm,"timestep %D: time %G, solution norm %G, max %G, min %G\n",timestep,timevalue,norm,vmax,vmin);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "FormIFunction"
extern PetscErrorCode FormIFunction(TS ts,PetscReal t,Vec VelnPress,Vec VelnPressdot,Vec Func,void *user)
{
PetscErrorCode ierr;
VFCtx *ctx=(VFCtx*)user;
PetscFunctionBegin;
ierr = FormTSMatricesnVector(ctx->KVelP,ctx->KVelPlhs,ctx->RHSVelP,ctx);CHKERRQ(ierr);
ierr = VecSet(Func,0.0);CHKERRQ(ierr);
ierr = MatMult(ctx->KVelP,VelnPress,Func);CHKERRQ(ierr);
ierr = MatMultAdd(ctx->KVelPlhs,VelnPressdot,Func,Func);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "FormFunction"
extern PetscErrorCode FormFunction(TS ts,PetscReal t,Vec vec1,Vec Func,void *user)
{
PetscErrorCode ierr;
VFCtx *ctx=(VFCtx*)user;
PetscFunctionBegin;
ierr = VecSet(Func,0.0);CHKERRQ(ierr);
ierr = VecCopy(ctx->RHSVelP,Func);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "FormIJacobian"
extern PetscErrorCode FormIJacobian(TS ts,PetscReal t,Vec VelnPress,Vec VelnPressdot,PetscReal shift,Mat Jac,Mat Jacpre,void *user)
{
PetscErrorCode ierr;
VFCtx *ctx=(VFCtx*)user;
PetscFunctionBegin;
ierr = MatCopy(ctx->KVelP,Jacpre,DIFFERENT_NONZERO_PATTERN);
ierr = MatAXPY(Jacpre,shift,ctx->KVelPlhs,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr);
ierr = MatAssemblyBegin(Jacpre,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(Jacpre,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
if (Jac != Jacpre) {
ierr = MatCopy(Jacpre,Jac,DIFFERENT_NONZERO_PATTERN);
ierr = MatAssemblyBegin(Jacpre,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(Jacpre,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "MatApplyTSVelocityBC"
extern PetscErrorCode MatApplyTSVelocityBC(Mat K,Mat Klhs,VFBC *bcQ)
{
PetscErrorCode ierr;
PetscInt xs,xm,nx;
PetscInt ys,ym,ny;
PetscInt zs,zm,nz;
PetscInt i,j,k,c;
MatStencil *row;
PetscReal one=1.;
PetscInt numBC=0,l=0;
PetscInt dim,dof=3;
DM da;
PetscReal zero=0.0;
PetscFunctionBegin;
ierr = MatGetDM(K,&da);CHKERRQ(ierr);
ierr = DMDAGetInfo(da,&dim,&nx,&ny,&nz,NULL,NULL,NULL,
NULL,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
ierr = DMDAGetCorners(da,&xs,&ys,&zs,&xm,&ym,&zm);CHKERRQ(ierr);
for (c = 0; c < dof; c++) {
if (xs == 0 && bcQ[c].face[X0] == FIXED) numBC += ym * zm;
if (xs + xm == nx && bcQ[c].face[X1] == FIXED) numBC += ym * zm;
if (ys == 0 && bcQ[c].face[Y0] == FIXED) numBC += xm * zm;
if (ys + ym == ny && bcQ[c].face[Y1] == FIXED) numBC += xm * zm;
if (zs == 0 && bcQ[c].face[Z0] == FIXED && dim == 3) numBC += xm * ym;
if (zs + zm == nz && bcQ[c].face[Z1] == FIXED && dim == 3) numBC += xm * ym;
if (xs == 0 && ys == 0 && zs == 0 && bcQ[c].vertex[X0Y0Z0] == FIXED) numBC++;
if (xs == 0 && ys + ym == ny && zs == 0 && bcQ[c].vertex[X0Y1Z0] == FIXED) numBC++;
if (xs + xm == nx && ys == 0 && zs == 0 && bcQ[c].vertex[X1Y0Z0] == FIXED) numBC++;
if (xs + xm == nx && ys + ym == ny && zs == 0 && bcQ[c].vertex[X1Y1Z0] == FIXED) numBC++;
if (xs == 0 && ys == 0 && zs + zm == nz && bcQ[c].vertex[X0Y0Z1] == FIXED && dim == 3) numBC++;
if (xs == 0 && ys + ym == ny && zs + zm == nz && bcQ[c].vertex[X0Y1Z1] == FIXED && dim == 3) numBC++;
if (xs + xm == nx && ys == 0 && zs + zm == nz && bcQ[c].vertex[X1Y0Z1] == FIXED && dim == 3) numBC++;
if (xs + xm == nx && ys + ym == ny && zs + zm == nz && bcQ[c].vertex[X1Y1Z1] == FIXED && dim == 3) numBC++;
}
ierr = PetscMalloc(numBC * sizeof(MatStencil),&row);CHKERRQ(ierr);
/*
Create an array of rows to be zeroed out
*/
/*
i == 0
*/
for (c = 0; c < dof; c++) {
if (xs == 0 && bcQ[c].face[X0] == FIXED) {
for (k = zs; k < zs + zm; k++)
for (j = ys; j < ys + ym; j++) {
row[l].i = 0; row[l].j = j; row[l].k = k; row[l].c = c;
l++;
}
}
/*
i == nx-1
*/
if (xs + xm == nx && bcQ[c].face[X1] == FIXED) {
for (k = zs; k < zs + zm; k++)
for (j = ys; j < ys + ym; j++) {
row[l].i = nx-1; row[l].j = j; row[l].k = k; row[l].c = c;
l++;
}
}
/*
y == 0
*/
if (ys == 0 && bcQ[c].face[Y0] == FIXED) {
for (k = zs; k < zs + zm; k++)
for (i = xs; i < xs + xm; i++) {
row[l].i = i; row[l].j = 0; row[l].k = k; row[l].c = c;
l++;
}
}
/*
y == ny-1
*/
if (ys + ym == ny && bcQ[c].face[Y1] == FIXED) {
for (k = zs; k < zs + zm; k++)
for (i = xs; i < xs + xm; i++) {
row[l].i = i; row[l].j = ny-1; row[l].k = k; row[l].c = c;
l++;
}
}
if (dim==3) {
/*
z == 0
*/
if (zs == 0 && bcQ[c].face[Z0] == FIXED) {
for (j = ys; j < ys + ym; j++)
for (i = xs; i < xs + xm; i++) {
row[l].i = i; row[l].j = j; row[l].k = 0; row[l].c = c;
l++;
}
}
/*
z == nz-1
*/
if (zs + zm == nz && bcQ[c].face[Z1] == FIXED) {
for (j = ys; j < ys + ym; j++)
for (i = xs; i < xs + xm; i++) {
row[l].i = i; row[l].j = j; row[l].k = nz-1; row[l].c = c;
l++;
}
}
}
if (xs == 0 && ys == 0 && zs == 0 && bcQ[c].vertex[X0Y0Z0] == FIXED) {
row[l].i = 0; row[l].j = 0; row[l].k = 0; row[l].c = c;
l++;
}
if (xs == 0 && ys == 0 && zs + zm == nz && bcQ[c].vertex[X0Y0Z1] == FIXED && dim ==3) {
row[l].i = 0; row[l].j = 0; row[l].k = nz-1; row[l].c = c;
l++;
}
if (xs == 0 && ys + ym == ny && zs == 0 && bcQ[c].vertex[X0Y1Z0] == FIXED) {
row[l].i = 0; row[l].j = ny-1; row[l].k = 0; row[l].c = c;
l++;
}
if (xs == 0 && ys + ym == ny && zs + zm == nz && bcQ[c].vertex[X0Y1Z1] == FIXED && dim ==3) {
row[l].i = 0; row[l].j = ny-1; row[l].k = nz-1; row[l].c = c;
l++;
}
if (xs + xm == nx && ys == 0 && zs == 0 && bcQ[c].vertex[X1Y0Z0] == FIXED) {
row[l].i = nx-1; row[l].j = 0; row[l].k = 0; row[l].c = c;
l++;
}
if (xs + xm == nx && ys == 0 && zs + zm == nz && bcQ[c].vertex[X1Y0Z1] == FIXED && dim ==3) {
row[l].i = nx-1; row[l].j = 0; row[l].k = nz-1; row[l].c = c;
l++;
}
if (xs + xm == nx && ys + ym == ny && zs == 0 && bcQ[c].vertex[X1Y1Z0] == FIXED) {
row[l].i = nx-1; row[l].j = ny-1; row[l].k = 0; row[l].c = c;
l++;
}
if (xs + xm == nx && ys + ym == ny && zs + zm == nz && bcQ[c].vertex[X1Y1Z1] == FIXED && dim ==3) {
row[l].i = nx=1; row[l].j = ny-1; row[l].k = nz-1; row[l].c = c;
l++;
}
}
ierr = MatZeroRowsStencil(K,numBC,row,one,NULL,NULL);CHKERRQ(ierr);
ierr = MatZeroRowsStencil(Klhs,numBC,row,zero,NULL,NULL);CHKERRQ(ierr);
ierr = PetscFree(row);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "FormTSMatricesnVector"
extern PetscErrorCode FormTSMatricesnVector(Mat K,Mat Klhs,Vec RHS,VFCtx *ctx)
{
PetscErrorCode ierr;
PetscInt xs,xm,nx;
PetscInt ys,ym,ny;
PetscInt zs,zm,nz;
PetscInt ek,ej,ei;
PetscInt i,j,k,l;
PetscInt veldof = 3;
PetscInt c;
PetscReal ****perm_array;
PetscReal ****coords_array;
PetscReal ****RHS_array;
PetscReal *RHS_local;
Vec RHS_localVec;
Vec perm_local;
PetscReal hx,hy,hz;
PetscReal *KA_local,*KB_local,*KD_local,*KBTrans_local,*Klhs_local;
PetscInt nrow = ctx->e3D.nphix*ctx->e3D.nphiy*ctx->e3D.nphiz;
MatStencil *row,*row1;
PetscReal ***source_array;
Vec source_local;
FACE face;
PetscReal ***prebc_array;
Vec prebc_local;
PetscReal hwx, hwy, hwz;
PetscReal ***v_array;
Vec v_local;
PetscReal ***m_inv_array;
Vec m_inv_local;
PetscInt w_no = 0;
PetscInt w_no1 = 0;
PetscInt w_no2 = 0;
PetscFunctionBegin;
ierr = DMDAGetInfo(ctx->daScalCell,NULL,&nx,&ny,&nz,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
ierr = DMDAGetCorners(ctx->daScalCell,&xs,&ys,&zs,&xm,&ym,&zm);CHKERRQ(ierr);
// This line ensures that the number of cells is one less than the number of nodes. Force processing of cells to stop once the second to the last node is processed
ierr = MatZeroEntries(K);CHKERRQ(ierr);
ierr = MatZeroEntries(Klhs);CHKERRQ(ierr);
ierr = VecSet(RHS,0.);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(ctx->daVect,ctx->coordinates,&coords_array);CHKERRQ(ierr);
ierr = DMGetLocalVector(ctx->daFlow,&RHS_localVec);CHKERRQ(ierr);
ierr = VecSet(RHS_localVec,0.);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(ctx->daFlow,RHS_localVec,&RHS_array);CHKERRQ(ierr);
ierr = DMGetLocalVector(ctx->daScal,&source_local);CHKERRQ(ierr);
ierr = DMGlobalToLocalBegin(ctx->daScal,ctx->Source,INSERT_VALUES,source_local);CHKERRQ(ierr);
ierr = DMGlobalToLocalEnd(ctx->daScal,ctx->Source,INSERT_VALUES,source_local);CHKERRQ(ierr);
ierr = DMDAVecGetArray(ctx->daScal,source_local,&source_array);CHKERRQ(ierr);
ierr = DMGetLocalVector(ctx->daVFperm,&perm_local);CHKERRQ(ierr);
ierr = DMGlobalToLocalBegin(ctx->daVFperm,ctx->Perm,INSERT_VALUES,perm_local);CHKERRQ(ierr);
ierr = DMGlobalToLocalEnd(ctx->daVFperm,ctx->Perm,INSERT_VALUES,perm_local);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(ctx->daVFperm,perm_local,&perm_array);CHKERRQ(ierr);
ierr = DMGetLocalVector(ctx->daScal,&prebc_local);CHKERRQ(ierr);
ierr = DMGlobalToLocalBegin(ctx->daScal,ctx->PresBCArray,INSERT_VALUES,prebc_local);CHKERRQ(ierr);
ierr = DMGlobalToLocalEnd(ctx->daScal,ctx->PresBCArray,INSERT_VALUES,prebc_local);CHKERRQ(ierr);
ierr = DMDAVecGetArray(ctx->daScal,prebc_local,&prebc_array);CHKERRQ(ierr);
ierr = DMGetLocalVector(ctx->daScal,&v_local);CHKERRQ(ierr);
ierr = DMGlobalToLocalBegin(ctx->daScal,ctx->V,INSERT_VALUES,v_local);CHKERRQ(ierr);
ierr = DMGlobalToLocalEnd(ctx->daScal,ctx->V,INSERT_VALUES,v_local);CHKERRQ(ierr);
ierr = DMDAVecGetArray(ctx->daScal,v_local,&v_array);CHKERRQ(ierr);
ierr = DMGetLocalVector(ctx->daScalCell,&m_inv_local);CHKERRQ(ierr);
ierr = DMGlobalToLocalBegin(ctx->daScalCell,ctx->M_inv,INSERT_VALUES,m_inv_local);CHKERRQ(ierr);
ierr = DMGlobalToLocalEnd(ctx->daScalCell,ctx->M_inv,INSERT_VALUES,m_inv_local);CHKERRQ(ierr);
ierr = DMDAVecGetArray(ctx->daScalCell,m_inv_local,&m_inv_array);CHKERRQ(ierr);
ierr = PetscMalloc5(nrow*nrow,&KA_local,
nrow*nrow,&KB_local,
nrow*nrow,&KD_local,
nrow*nrow,&KBTrans_local,
nrow*nrow,&Klhs_local);CHKERRQ(ierr);
ierr = PetscMalloc3(nrow,&RHS_local,
nrow,&row,
nrow,&row1);CHKERRQ(ierr);
for (ek = zs; ek < zs+zm; ek++) {
for (ej = ys; ej < ys+ym; ej++)
for (ei = xs; ei < xs+xm; ei++) {
hx = coords_array[ek][ej][ei+1][0]-coords_array[ek][ej][ei][0];
hy = coords_array[ek][ej+1][ei][1]-coords_array[ek][ej][ei][1];
hz = coords_array[ek+1][ej][ei][2]-coords_array[ek][ej][ei][2];
ierr = VFCartFEElement3DInit(&ctx->e3D,hx,hy,hz);CHKERRQ(ierr);
/* This computes the local contribution of the global A matrix */
ierr = VF_MatA_local(Klhs_local,&ctx->e3D,ek,ej,ei,v_array);CHKERRQ(ierr);
for (l = 0; l < nrow*nrow; l++) Klhs_local[l] = -1.*m_inv_array[ek][ej][ei]*Klhs_local[l];
for (c = 0; c < veldof; c++) {
ierr = Flow_MatA(KA_local,&ctx->e3D,ek,ej,ei,c,&ctx->flowprop,perm_array,v_array);CHKERRQ(ierr);
ierr = Flow_MatB(KB_local,&ctx->e3D,ek,ej,ei,c,v_array);CHKERRQ(ierr);
ierr = Flow_MatBTranspose(KBTrans_local,&ctx->e3D,ek,ej,ei,c,v_array);CHKERRQ(ierr);
for (l = 0,k = 0; k < ctx->e3D.nphiz; k++) {
for (j = 0; j < ctx->e3D.nphiy; j++)
for (i = 0; i < ctx->e3D.nphix; i++,l++) {
row[l].i = ei+i;row[l].j = ej+j;row[l].k = ek+k;row[l].c = c;
row1[l].i = ei+i;row1[l].j = ej+j;row1[l].k = ek+k;row1[l].c = 3;
}
}
ierr = MatSetValuesStencil(K,nrow,row,nrow,row,KA_local,ADD_VALUES);CHKERRQ(ierr);
ierr = MatSetValuesStencil(K,nrow,row,nrow,row1,KB_local,ADD_VALUES);CHKERRQ(ierr);
ierr = MatSetValuesStencil(K,nrow,row1,nrow,row,KBTrans_local,ADD_VALUES);CHKERRQ(ierr);
}
ierr = Flow_MatD(KD_local,&ctx->e3D,ek,ej,ei,&ctx->flowprop,perm_array,v_array);CHKERRQ(ierr);
ierr = MatSetValuesStencil(K,nrow,row1,nrow,row1,KD_local,ADD_VALUES);CHKERRQ(ierr);
ierr = MatSetValuesStencil(Klhs,nrow,row1,nrow,row1,Klhs_local,ADD_VALUES);CHKERRQ(ierr);
/*Assembling the righthand side vector f*/
for (c = 0; c < veldof; c++) {
ierr = Flow_Vecf(RHS_local,&ctx->e3D,ek,ej,ei,c,&ctx->flowprop,v_array);CHKERRQ(ierr);
for (l = 0,k = 0; k < ctx->e3D.nphiz; k++)
for (j = 0; j < ctx->e3D.nphiy; j++)
for (i = 0; i < ctx->e3D.nphix; i++,l++) RHS_array[ek+k][ej+j][ei+i][c] += RHS_local[l];
}
/*Assembling the right hand side vector g*/
ierr = Flow_Vecg(RHS_local,&ctx->e3D,ek,ej,ei,&ctx->flowprop,perm_array,v_array);CHKERRQ(ierr);
for (l = 0,k = 0; k < ctx->e3D.nphiz; k++)
for (j = 0; j < ctx->e3D.nphiy; j++)
for (i = 0; i < ctx->e3D.nphix; i++,l++) RHS_array[ek+k][ej+j][ei+i][3] += RHS_local[l];
if (ctx->hasFluidSources) {
ierr = VecApplySourceTerms(RHS_local,source_array,&ctx->e3D,ek,ej,ei,ctx,v_array);
for (l = 0,k = 0; k < ctx->e3D.nphiz; k++)
for (j = 0; j < ctx->e3D.nphiy; j++)
for (i = 0; i < ctx->e3D.nphix; i++,l++) RHS_array[ek+k][ej+j][ei+i][3] += RHS_local[l];
}
if (ei == 0) {
/* Face X0 */
face = X0;
ierr = VFCartFEElement2DInit(&ctx->e2D,hz,hy);CHKERRQ(ierr);
if (ctx->bcP[0].face[face] == FIXED) {
ierr = VecApplyPressureBC(RHS_local,prebc_array,ek,ej,ei,face,&ctx->e2D,&ctx->flowprop,perm_array,v_array);CHKERRQ(ierr);
for (l=0,k = 0; k < ctx->e2D.nphix; k++)
for (j = 0; j < ctx->e2D.nphiy; j++)
for (i = 0; i < ctx->e2D.nphiz; i++, l++) RHS_array[ek+k][ej+j][ei+i][0] -= RHS_local[l];
}
}
if (ei == nx-1) {
/* Face X1 */
face = X1;
ierr = VFCartFEElement2DInit(&ctx->e2D,hz,hy);CHKERRQ(ierr);
if (ctx->bcP[0].face[face] == FIXED) {
ierr = VecApplyPressureBC(RHS_local,prebc_array,ek,ej,ei,face,&ctx->e2D,&ctx->flowprop,perm_array,v_array);CHKERRQ(ierr);
for (l=0,k = 0; k < ctx->e2D.nphix; k++)
for (j = 0; j < ctx->e2D.nphiy; j++)
for (i = 0; i < ctx->e2D.nphiz; i++, l++) RHS_array[ek+k][ej+j][ei+1][0] += RHS_local[l];
}
}
if (ej == 0) {
/* Face Y0 */
face = Y0;
ierr = VFCartFEElement2DInit(&ctx->e2D,hx,hz);CHKERRQ(ierr);
if (ctx->bcP[0].face[face] == FIXED) {
ierr = VecApplyPressureBC(RHS_local,prebc_array,ek,ej,ei,face,&ctx->e2D,&ctx->flowprop,perm_array,v_array);CHKERRQ(ierr);
for (l=0,k = 0; k < ctx->e2D.nphiy; k++)
for (j = 0; j < ctx->e2D.nphiz; j++)
for (i = 0; i < ctx->e2D.nphix; i++, l++) RHS_array[ek+k][ej+j][ei+i][1] -= RHS_local[l];
}
}
if (ej == ny-1) {
/* Face Y1 */
face = Y1;
ierr = VFCartFEElement2DInit(&ctx->e2D,hx,hz);CHKERRQ(ierr);
if (ctx->bcP[0].face[face] == FIXED) {
ierr = VecApplyPressureBC(RHS_local,prebc_array,ek,ej,ei,face,&ctx->e2D,&ctx->flowprop,perm_array,v_array);CHKERRQ(ierr);
for (l=0,k = 0; k < ctx->e2D.nphiy; k++)
for (j = 0; j < ctx->e2D.nphiz; j++)
for (i = 0; i < ctx->e2D.nphix; i++, l++) RHS_array[ek+k][ej+1][ei+i][1] += RHS_local[l];
}
}
if (ek == 0) {
/* Face Z0 */
face = Z0;
ierr = VFCartFEElement2DInit(&ctx->e2D,hx,hy);CHKERRQ(ierr);
if (ctx->bcP[0].face[face] == FIXED) {
ierr = VecApplyPressureBC(RHS_local,prebc_array,ek,ej,ei,face,&ctx->e2D,&ctx->flowprop,perm_array,v_array);CHKERRQ(ierr);
for (l=0,k = 0; k < ctx->e2D.nphiz; k++)
for (j = 0; j < ctx->e2D.nphiy; j++)
for (i = 0; i < ctx->e2D.nphix; i++, l++) RHS_array[ek+k][ej+j][ei+i][2] -= RHS_local[l];
}
}
if (ek == nz-1) {
/* Face Z1 */
face = Z1;
ierr = VFCartFEElement2DInit(&ctx->e2D,hx,hy);CHKERRQ(ierr);
if (ctx->bcP[0].face[face] == FIXED) {
ierr = VecApplyPressureBC(RHS_local,prebc_array,ek,ej,ei,face,&ctx->e2D,&ctx->flowprop,perm_array,v_array);CHKERRQ(ierr);
for (l=0,k = 0; k < ctx->e2D.nphiz; k++)
for (j = 0; j < ctx->e2D.nphiy; j++)
for (i = 0; i < ctx->e2D.nphix; i++, l++) RHS_array[ek+1][ej+j][ei+i][2] += RHS_local[l];
}
}
}
}
if (ctx->hasFlowWells)
for (w_no = 0; w_no < ctx->numWells; w_no++) {
w_no1 = 0;
w_no2 = 0;
for (ek = zs; ek < zs+zm; ek++)
for (ej = ys; ej < ys+ym; ej++)
for (ei = xs; ei < xs+xm; ei++)
if (
((coords_array[ek][ej][ei+1][0] >= ctx->well[w_no].coords[0]) && (coords_array[ek][ej][ei][0] <= ctx->well[w_no].coords[0])) &&
((coords_array[ek][ej+1][ei][1] >= ctx->well[w_no].coords[1]) && (coords_array[ek][ej][ei][1] <= ctx->well[w_no].coords[1])) &&
((coords_array[ek+1][ej][ei][2] >= ctx->well[w_no].coords[2]) && (coords_array[ek][ej][ei][2] <= ctx->well[w_no].coords[2]))
) w_no1++;
ierr = MPI_Allreduce(&w_no1,&w_no2,1,MPIU_INT,MPI_SUM,PETSC_COMM_WORLD);CHKERRQ(ierr);
for (ek = zs; ek < zs+zm; ek++)
for (ej = ys; ej < ys+ym; ej++) {
for (ei = xs; ei < xs+xm; ei++)
if (
((coords_array[ek][ej][ei+1][0] >= ctx->well[w_no].coords[0]) && (coords_array[ek][ej][ei][0] <= ctx->well[w_no].coords[0])) &&
((coords_array[ek][ej+1][ei][1] >= ctx->well[w_no].coords[1]) && (coords_array[ek][ej][ei][1] <= ctx->well[w_no].coords[1])) &&
((coords_array[ek+1][ej][ei][2] >= ctx->well[w_no].coords[2]) && (coords_array[ek][ej][ei][2] <= ctx->well[w_no].coords[2]))
) {
hx = coords_array[ek][ej][ei+1][0]-coords_array[ek][ej][ei][0];
hy = coords_array[ek][ej+1][ei][1]-coords_array[ek][ej][ei][1];
hz = coords_array[ek+1][ej][ei][2]-coords_array[ek][ej][ei][2];
ierr = VFCartFEElement3DInit(&ctx->e3D,hx,hy,hz);CHKERRQ(ierr);
hwx = (ctx->well[w_no].coords[0]-coords_array[ek][ej][ei][0])/hx;
hwy = (ctx->well[w_no].coords[1]-coords_array[ek][ej][ei][1])/hy;
hwz = (ctx->well[w_no].coords[2]-coords_array[ek][ej][ei][2])/hz;
if (ctx->well[w_no].condition == RATE) {
ierr = VecApplyWellFlowRate(RHS_local,&ctx->e3D,ctx->well[w_no].Qw,hwx,hwy,hwz,ek,ej,ei,v_array);CHKERRQ(ierr);
for (l = 0,k = 0; k < ctx->e3D.nphiz; k++) {
for (j = 0; j < ctx->e3D.nphiy; j++)
for (i = 0; i < ctx->e3D.nphix; i++,l++) {
if (ctx->well[w_no].type == INJECTOR) RHS_array[ek+k][ej+j][ei+i][3] -= RHS_local[l]/w_no2;
else if (ctx->well[w_no].type == PRODUCER) RHS_array[ek+k][ej+j][ei+i][3] -= -RHS_local[l]/w_no2;
}
}
}else if (ctx->well[w_no].condition == PRESSURE) {
}
/* No implementation for pressure boundary condition*/
}
}
}
ierr = MatAssemblyBegin(Klhs,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(Klhs,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatApplyTSVelocityBC(K,Klhs,&ctx->bcQ[0]);CHKERRQ(ierr);
ierr = MatAssemblyBegin(Klhs,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(Klhs,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = DMDAVecRestoreArray(ctx->daScal,source_local,&source_array);CHKERRQ(ierr);
ierr = DMRestoreLocalVector(ctx->daScal,&source_local);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOF(ctx->daVFperm,perm_local,&perm_array);CHKERRQ(ierr);
ierr = DMRestoreLocalVector(ctx->daVFperm,&perm_local);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOF(ctx->daFlow,RHS_localVec,&RHS_array);CHKERRQ(ierr);
ierr = DMLocalToGlobalBegin(ctx->daFlow,RHS_localVec,ADD_VALUES,RHS);CHKERRQ(ierr);
ierr = DMLocalToGlobalEnd(ctx->daFlow,RHS_localVec,ADD_VALUES,RHS);CHKERRQ(ierr);
ierr = DMRestoreLocalVector(ctx->daFlow,&RHS_localVec);CHKERRQ(ierr);
ierr = VecApplyTSVelocityBC(RHS,ctx->VelBCArray,&ctx->bcQ[0],ctx);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOF(ctx->daVect,ctx->coordinates,&coords_array);CHKERRQ(ierr);
ierr = DMDAVecRestoreArray(ctx->daScal,prebc_local,&prebc_array);CHKERRQ(ierr);
ierr = DMRestoreLocalVector(ctx->daScal,&prebc_local);CHKERRQ(ierr);
ierr = DMDAVecRestoreArray(ctx->daScal,v_local,&v_array);CHKERRQ(ierr);
ierr = DMRestoreLocalVector(ctx->daScal,&v_local);CHKERRQ(ierr);
ierr = DMDAVecRestoreArray(ctx->daScalCell,m_inv_local,&m_inv_array);CHKERRQ(ierr);
ierr = DMRestoreLocalVector(ctx->daScalCell,&m_inv_local);CHKERRQ(ierr);
ierr = PetscFree5(KA_local,KB_local,KD_local,KBTrans_local,Klhs_local);CHKERRQ(ierr);
ierr = PetscFree3(RHS_local,row,row1);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "VecApplyTSVelocityBC"
extern PetscErrorCode VecApplyTSVelocityBC(Vec RHS,Vec BCV, VFBC *bcQ,VFCtx *ctx)
{
PetscErrorCode ierr;
PetscInt xs,xm,nx;
PetscInt ys,ym,ny;
PetscInt zs,zm,nz;
PetscInt dim,dof=3;
PetscInt i,j,k,c;
PetscReal ****velbc_array;
PetscReal ****RHS_array;
PetscFunctionBegin;
ierr = DMDAGetInfo(ctx->daFlow,&dim,&nx,&ny,&nz,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
ierr = DMDAGetCorners(ctx->daFlow,&xs,&ys,&zs,&xm,&ym,&zm);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(ctx->daVect,BCV,&velbc_array);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(ctx->daFlow,RHS,&RHS_array);CHKERRQ(ierr);
for (c = 0; c < dof; c++) {
if (xs == 0) {
i = 0;
if (bcQ[c].face[X0] == FIXED)
for (k = zs; k < zs+zm; k++)
for (j = ys; j < ys+ym; j++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs+xm == nx) {
i = nx-1;
if (bcQ[c].face[X1] == FIXED)
for (k = zs; k < zs+zm; k++)
for (j = ys; j < ys+ym; j++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (ys == 0) {
j = 0;
if (bcQ[c].face[Y0] == FIXED)
for (k = zs; k < zs+zm; k++)
for (i = xs; i < xs+xm; i++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (ys+ym == ny) {
j = ny-1;
if (bcQ[c].face[Y1] == FIXED)
for (k = zs; k < zs+zm; k++)
for (i = xs; i < xs+xm; i++)
RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (zs == 0) {
k = 0;
if (bcQ[c].face[Z0] == FIXED)
for (j = ys; j < ys+ym; j++)
for (i = xs; i < xs+xm; i++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (zs+zm == nz) {
k = nz-1;
if (bcQ[c].face[Z1] == FIXED)
for (j = ys; j < ys+ym; j++)
for (i = xs; i < xs+xm; i++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs == 0 && zs == 0) {
k = 0;i = 0;
if (bcQ[c].edge[X0Z0] == FIXED)
for (j = ys; j < ys+ym; j++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs+xm == nx && zs == 0) {
k = 0;i = nx-1;
if (bcQ[c].edge[X1Z0] == FIXED)
for (j = ys; j < ys+ym; j++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (ys == 0 && zs == 0) {
k = 0;j = 0;
if (bcQ[c].edge[Y0Z0] == FIXED)
for (i = xs; i < xs+xm; i++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (ys+ym == ny && zs == 0) {
k = 0;j = 0;
if (bcQ[c].edge[Y1Z0] == FIXED)
for (i = xs; i < xs+xm; i++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs == 0 && zs+zm == nz) {
k = nz-1;i = 0;
if (bcQ[c].edge[X0Z1] == FIXED)
for (j = ys; j < ys+ym; j++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs+xm == nx && zs+zm == nz) {
k = nz-1;i = nx-1;
if (bcQ[c].edge[X1Z1] == FIXED)
for (j = ys; j < ys+ym; j++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (ys == 0 && zs+zm == nz) {
k = nz-1;j = 0;
if (bcQ[c].edge[Y0Z1] == FIXED)
for (i = xs; i < xs+xm; i++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (ys+ym == ny && zs+zm == nz) {
k = nz-1;j = ny-1;
if (bcQ[c].edge[Y1Z1] == FIXED)
for (i = xs; i < xs+xm; i++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs == 0 && ys == 0) {
j = 0;i = 0;
if (bcQ[c].edge[X0Y0] == FIXED)
for (k = zs; k < zs+zm; k++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs == 0 && ys+ym == ny) {
j = ny-1;i = 0;
if (bcQ[c].edge[X0Y1] == FIXED)
for (k = zs; k < zs+zm; k++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs+xm == nx && ys == 0) {
j = 0;i = nx-1;
if (bcQ[c].edge[X1Y0] == FIXED)
for (k = zs; k < zs+zm; k++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs+xm == nx && ys+ym == ny) {
j = ny-1;i = nx-1;
if (bcQ[c].edge[X1Y1] == FIXED)
for (k = zs; k < zs+zm; k++) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs == 0 && ys == 0 && zs == 0) {
k = 0;j = 0;i = 0;
if (bcQ[c].vertex[X0Y0Z0] == FIXED) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs+xm == nx && ys == 0 && zs == 0) {
k = 0;j = 0;i = nx-1;
if (bcQ[c].vertex[X1Y0Z0] == FIXED) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs == 0 && ys+ym == ny && zs == 0) {
k = 0;j = ny-1;i = 0;
if (bcQ[c].vertex[X0Y1Z0] == FIXED) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs+xm == nx && ys+ym == ny && zs == 0) {
k = 0;j = ny-1;i = nx-1;
if (bcQ[c].vertex[X1Y1Z0] == FIXED) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs == 0 && ys == 0 && zs+zm == nz) {
k = nz-1;j = 0;i = 0;
if (bcQ[c].vertex[X0Y0Z1] == FIXED) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs+xm == nx && ys == 0 && zs+zm == nz) {
k = nz-1;j = 0;i = nx-1;
if (bcQ[c].vertex[X1Y0Z1] == FIXED) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs == 0 && ys+ym == ny && zs+zm == nz) {
k = nz-1;j = ny-1;i = 0;
if (bcQ[c].vertex[X0Y1Z1] == FIXED) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
if (xs+xm == nx && ys+ym == ny && zs+zm == nz) {
k = nz-1;j = ny-1;i = nx-1;
if (bcQ[c].vertex[X1Y1Z1] == FIXED) RHS_array[k][j][i][c] = velbc_array[k][j][i][c];
}
}
ierr = DMDAVecRestoreArrayDOF(ctx->daVect,BCV,&velbc_array);CHKERRQ(ierr);
ierr = DMDAVecRestoreArrayDOF(ctx->daFlow,RHS,&RHS_array);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "FormInitialSolution"
extern PetscErrorCode FormInitialSolution(Vec VelnPress,Vec VelnPressBV, VFBC *bcP,VFBC *bcQ, VFCtx *ctx)
{
PetscErrorCode ierr;
PetscInt xs,xm,nx;
PetscInt ys,ym,ny;
PetscInt zs,zm,nz;
PetscInt dim,dof=3;
PetscInt i,j,k,c;
DM da;
PetscReal ****UnPre_array;
PetscReal ****IniSol_array;
PetscFunctionBegin;
ierr = VecGetDM(VelnPress,&da);CHKERRQ(ierr);
ierr = DMDAGetInfo(da,&dim,&nx,&ny,&nz,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
ierr = DMDAGetCorners(da,&xs,&ys,&zs,&xm,&ym,&zm);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(da,VelnPress,&IniSol_array);CHKERRQ(ierr);
ierr = DMDAVecGetArrayDOF(da,VelnPressBV,&UnPre_array);CHKERRQ(ierr);
if (xs == 0) {
i = 0;
if (bcP[0].face[X0] == FIXED)
for (k = zs; k < zs+zm; k++)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].face[X0] == FIXED)
for (k = zs; k < zs+zm; k++)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (xs+xm == nx) {
i = nx-1;
if (bcP[0].face[X1] == FIXED)
for (k = zs; k < zs+zm; k++)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].face[X1] == FIXED)
for (k = zs; k < zs+zm; k++)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (ys == 0) {
j = 0;
if (bcP[0].face[Y0] == FIXED)
for (k = zs; k < zs+zm; k++)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].face[Y0] == FIXED)
for (k = zs; k < zs+zm; k++)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (ys+ym == ny) {
j = ny-1;
if (bcP[0].face[Y1] == FIXED)
for (k = zs; k < zs+zm; k++)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].face[Y1] == FIXED)
for (k = zs; k < zs+zm; k++)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (zs == 0) {
k = 0;
if (bcP[0].face[Z0] == FIXED)
for (j = ys; j < ys+ym; j++)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].face[Z0] == FIXED)
for (j = ys; j < ys+ym; j++)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (zs+zm == nz) {
k = nz-1;
if (bcP[0].face[Z1] == FIXED)
for (j = ys; j < ys+ym; j++)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].face[Z1] == FIXED)
for (j = ys; j < ys+ym; j++)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (xs == 0 && zs == 0) {
k = 0;i = 0;
if (bcP[0].edge[X0Z0] == FIXED)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].edge[X0Z0] == FIXED)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (xs+xm == nx && zs == 0) {
k = 0;i = nx-1;
if (bcP[0].edge[X1Z0] == FIXED)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].edge[X1Z0] == FIXED)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
//
if (ys == 0 && zs == 0) {
k = 0;j = 0;
if (bcP[0].edge[Y0Z0] == FIXED)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].edge[Y0Z0] == FIXED)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (ys+ym == ny && zs == 0) {
k = 0;j = ny-1;
if (bcP[0].edge[Y1Z0] == FIXED)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].edge[Y1Z0] == FIXED)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
//
if (xs == 0 && zs+zm == nz) {
k = nz-1;i = 0;
if (bcP[0].edge[X0Z1] == FIXED)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].edge[X0Z1] == FIXED)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (xs+xm == nx && zs+zm == nz) {
k = nz-1;i = nx-1;
if (bcP[0].edge[X1Z1] == FIXED)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].edge[X1Z1] == FIXED)
for (j = ys; j < ys+ym; j++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
//
if (ys == 0 && zs+zm == nz) {
k = nz-1;j = 0;
if (bcP[0].edge[Y0Z1] == FIXED)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].edge[Y0Z1] == FIXED)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (ys+ym == ny && zs+zm == nz) {
k = nz-1;j = ny-1;
if (bcP[0].edge[Y1Z1] == FIXED)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].edge[Y1Z1] == FIXED)
for (i = xs; i < xs+xm; i++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
//
if (xs == 0 && ys == 0) {
j = 0;i = 0;
if (bcP[0].edge[X0Y0] == FIXED)
for (k = zs; k < zs+zm; k++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].edge[X0Y0] == FIXED)
for (k = zs; k < zs+zm; k++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (xs == 0 && ys+ym == ny) {
j = ny-1;i = 0;
if (bcP[0].edge[X0Y1] == FIXED)
for (k = zs; k < zs+zm; k++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].edge[X0Y1] == FIXED)
for (k = zs; k < zs+zm; k++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
//
if (xs+xm == nx && ys == 0) {
j = 0;i = nx-1;
if (bcP[0].edge[X1Y0] == FIXED)
for (k = zs; k < zs+zm; k++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];
else
for (c = 0; c < dof; c++)
if (bcQ[c].edge[X1Y0] == FIXED)
for (k = zs; k < zs+zm; k++) IniSol_array[k][j][i][c] = UnPre_array[k][j][i][c];
}
if (xs+xm == nx && ys+ym == ny) {
j = ny-1;i = nx-1;
if (bcP[0].edge[X1Y1] == FIXED)
for (k = zs; k < zs+zm; k++) IniSol_array[k][j][i][3] = UnPre_array[k][j][i][3];