void
Well_init(DOF *source)
{
GRID *g = source->g;
SIMPLEX *e;
FLOAT *p_source;
FLOAT vol_1 = 0, vol_2 =0;
ForAllElements(g, e){
if(e->region_mark == 2){
vol_1 += phgGeomGetVolume(g, e);
}
else if(e->region_mark == 3)
{
vol_2 += phgGeomGetVolume(g, e);
}
}
#if USE_MPI
FLOAT vol_10 = vol_1;
FLOAT vol_20 = vol_2;
// memcpy(vol0, vol, sizeof(FLOAT));
MPI_Allreduce(&vol_10, &vol_1, 1, MPI_DOUBLE, MPI_SUM, g->comm);
MPI_Allreduce(&vol_20, &vol_2, 1, MPI_DOUBLE, MPI_SUM, g->comm);
#endif
ForAllElements(g, e){
if(e->region_mark == 2){
p_source = DofElementData(source, e->index);
p_source[0] = - PRODUCTION / (vol_1+vol_2);
}
else if(e->region_mark == 3){
p_source = DofElementData(source, e->index);
p_source[0] = - PRODUCTION / (vol_2+vol_1);
}
}
}
void
Well_Pressure(DOF *p_h, DOF *b_o, FLOAT *pressure, FLOAT *pwf)
{
GRID *g = p_h->g;
SIMPLEX *e;
FLOAT *p_p, sum_vol = 0, sum_lambda = 0, sum_pressure = 0, *p_bo;
INT count = 0;
FLOAT mu = 1e-9 / 3600, K = 1e-13, rw = 0.1, re = 10.;
ForAllElements(g, e){
if(e->region_mark == 1){
p_p = DofElementData(p_h, e->index);
p_bo = DofElementData(b_o, e->index);
sum_pressure += p_p[0] * phgGeomGetVolume(g, e);
sum_lambda += p_bo[0] * phgGeomGetVolume(g, e);
sum_vol += phgGeomGetVolume(g, e);
}
}
#if USE_MPI
FLOAT sum_vol0 = sum_vol, sum_lambda0 = sum_lambda, sum_pressure0 = sum_pressure;
MPI_Allreduce(&sum_vol0, &sum_vol, 1, MPI_DOUBLE, MPI_SUM, g->comm);
MPI_Allreduce(&sum_lambda0, &sum_lambda, 1, MPI_DOUBLE, MPI_SUM, g->comm);
MPI_Allreduce(&sum_pressure0, &sum_pressure, 1, MPI_DOUBLE, MPI_SUM, g->comm);
#endif
*pressure = sum_pressure / sum_vol;
sum_lambda = sum_lambda / sum_vol;
FLOAT tmp = (-PRODUCTION * mu * sum_lambda * (log(re/rw) + 3 - 0.5)) / (2 * M_PI * K * MESH_HEIGHT);
*pwf = *pressure + tmp;
}
void
create_kro(DOF *s_w, DOF *kro)
{
GRID *g = s_w->g;
SIMPLEX *e;
FLOAT *p_sw, *p_kro;
ForAllElements(g, e){
p_sw = DofElementData(s_w, e->index);
p_kro = DofElementData(kro, e->index);
p_kro[0] = KRO_SWC * pow((1 - p_sw[0] - SORW) / (1 - SWC - SORW), NO);
}
void
create_kr(PHASE *oil, PHASE *water)
{
GRID *g = water->Kr->g;
SIMPLEX *e;
FLOAT *p_so, *p_kro, *p_krw, S =0;
ForAllElements(g, e){
p_so = DofElementData(oil->S, e->index);
p_kro = DofElementData(oil->Kr, e->index);
p_krw = DofElementData(water->Kr, e->index);
S = (1. - p_so[0] - SWC) / (1 - SWC - SOR);
p_kro[0] =pow((1 - S), NO);
p_krw[0] = pow(S, NW);
}
static FLOAT
estimate_error(FLOAT lambda, DOF *u_h, DOF *error)
{
GRID *g = u_h->g;
ELEMENT *e;
DOF *curl_u_h, *jump1, *jump2, *residual, *tmp;
curl_u_h = phgDofCurl(u_h, NULL, NULL, NULL);
residual = phgDofGetSameOrderDG(u_h, -1, NULL);
phgDofCopy(u_h, &residual, NULL, "residual");
jump2 = phgQuadFaceJump(residual, DOF_PROJ_DOT, NULL, QUAD_DEFAULT);
tmp = phgDofCurl(curl_u_h, NULL, NULL, NULL);
phgDofAXPBY(-1.0, tmp, lambda, &residual);
phgDofFree(&tmp);
jump1 = phgQuadFaceJump(curl_u_h, DOF_PROJ_CROSS, NULL, QUAD_DEFAULT);
ForAllElements(g, e) {
int i;
FLOAT eta, h;
FLOAT diam = phgGeomGetDiameter(g, e);
e->mark = 0; /* clear refinement mmark */
eta = 0.0;
for (i = 0; i < NFace; i++) {
if (e->bound_type[i] == DIRICHLET || e->bound_type[i] == NEUMANN)
continue; /* boundary face */
h = phgGeomGetFaceDiameter(g, e, i);
eta += (*DofFaceData(jump1, e->faces[i]) +
*DofFaceData(jump2, e->faces[i])) * h;
}
eta = eta + diam * diam * phgQuadDofDotDof(e, residual, residual,
QUAD_DEFAULT);
*DofElementData(error, e->index) = eta;
}
void
Well_Pressure(DOF *p_h, FLOAT *pressure)
{
GRID *g = p_h->g;
SIMPLEX *e;
FLOAT *p_p, sum = 0;
INT count = 0, i, well_no, nbas = p_h->type->nbas;
ForAllElements(g, e)
{
*pressure = 0.0;
if(e->region_mark == 2){
p_p = DofElementData(p_h, e->index);
sum += p_p[0];
count++;
}
else if (e->region_mark == 3){
p_p = DofElementData(p_h, e->index);
sum += p_p[0];
count++;
}
}
static void
estimate_error(DOF *u, DOF *p, DOF *f, DOF *gradu, DOF *divu, DOF *e_H1)
/* compute error indicators L_H1(e_u) + L2(e_p). */
{
int i;
GRID *g = u->g;
ELEMENT *e;
DOF *jump, *residual, *tmp;
FLOAT eta, d, h;
FLOAT diam;
/* RE = [[nu \grad u - p I]] */
tmp = phgDofCopy(gradu, NULL, NULL, NULL);
phgDofAFXPBY(-1.0, f_1to3, p, nu, &tmp);
jump = phgQuadFaceJump(tmp, DOF_PROJ_DOT, "jumps", QUAD_DEFAULT);
phgDofFree(&tmp);
/* RT1 = f + nu \laplace u - (u \cdot \grad) u - \grad p
* RT2 = \div u */
tmp = phgDofDivergence(gradu, NULL, NULL, NULL);
residual = phgDofGetSameOrderDG(u, -1, "residual 1");
phgDofCopy(f, &residual, NULL, NULL);
phgDofAXPBY(nu, tmp, 1.0, &residual);
phgDofFree(&tmp);
tmp = phgDofGradient(p, NULL, NULL, NULL);
phgDofAXPY(-1.0, tmp, &residual);
phgDofMM(MAT_OP_N, MAT_OP_T, 1, 3, 3, 1.0, u, -1, gradu, 1., &residual);
phgDofFree(&tmp);
ForAllElements(g, e) {
diam = phgGeomGetDiameter(g, e);
e->mark = 0; /* clear refinement mmark */
eta = 0.0;
/* for each face F compute [grad_u \cdot n] */
for (i = 0; i < NFace; i++) {
if (e->bound_type[i] & (DIRICHLET | NEUMANN))
continue; /* boundary face */
h = phgGeomGetFaceDiameter(g, e, i);
d = *DofFaceData(jump, e->faces[i]);
eta += d * h;
}
eta +=
diam * diam * phgQuadDofDotDof(e, residual, residual, QUAD_DEFAULT)
+ phgQuadDofDotDof(e, divu, divu, QUAD_DEFAULT);
/* add curved boundary errors (FIXME: how to normalize?) */
eta += phgGetBoundaryError(g, e);
*DofElementData(e_H1, e->index) = eta;
}
void
Well_init(DOF *source)
{
GRID *g = source->g;
SIMPLEX *e;
FLOAT *p_source;
FLOAT vol = 0;
ForAllElements(g, e){
if(e->region_mark == 1){
vol += phgGeomGetVolume(g, e);
}
}
#if USE_MPI
FLOAT vol0 = vol;
MPI_Allreduce(&vol0, &vol, 1, MPI_DOUBLE, MPI_SUM, g->comm);
#endif
ForAllElements(g, e){
if(e->region_mark == 1){
p_source = DofElementData(source, e->index);
p_source[0] = - PRODUCTION / vol;
}
}
}
DOF *
phgDofCopy_(DOF *src, DOF **dest_ptr, DOF_TYPE *newtype,
const char *name, const char *srcfile, int srcline)
/* returns a new DOF whose type is 'newtype', and whose values are evaluated
* using 'src' (a copy of src). */
{
GRID *g = src->g;
SIMPLEX *e;
FLOAT w = 1.0, *basvalues = NULL, *a, *d, *buffer = NULL;
int i, k, dim, dim_new, count = 0, nvalues, nd;
INT n;
DOF *wgts = NULL;
DOF *dest = (dest_ptr == NULL ? NULL : *dest_ptr);
BYTE *flags0, *flags;
char *auto_name;
DOF_TYPE *oldtype;
BOOLEAN basflag = FALSE;
MagicCheck(DOF, dest)
if (dest != NULL && newtype != NULL && dest->type != newtype) {
phgDofFree(&dest);
dest = NULL;
}
dim = DofDim(src);
/* the name of dest */
if ((auto_name = (void *)name) == NULL) {
#if 0
auto_name = phgAlloc(strlen(src->name) + 8 + 1);
sprintf(auto_name, "copy of %s", src->name);
#else
auto_name = strdup(src->name);
#endif
}
if (dest == NULL) {
if (newtype == NULL)
newtype = src->type;
dim_new = (newtype == NULL ? DofTypeDim(src) : newtype->dim);
assert(dim % dim_new == 0);
dest = phgDofNew_(g, newtype, newtype == NULL ? src->hp : NULL,
dim / dim_new, auto_name, DofNoAction,
srcfile, srcline);
if (dest_ptr != NULL)
*dest_ptr = dest;
}
else {
assert(dim == DofDim(dest));
phgFree(dest->name); dest->name = strdup(auto_name);
dest->srcfile = srcfile;
dest->srcline = srcline;
phgFree(dest->cache_func); dest->cache_func = NULL;
newtype = dest->type;
if (!SpecialDofType(newtype))
memset(dest->data, 0, DofGetDataCount(dest) * sizeof(*dest->data));
}
if (auto_name != name)
phgFree(auto_name);
phgDofClearCache(NULL, dest, NULL, NULL, FALSE);
dest->DB_mask = src->DB_mask;
if (src->DB_masks != NULL) {
if (dest->DB_masks == NULL)
dest->DB_masks = phgAlloc(dest->dim * sizeof(*dest->DB_masks));
memcpy(dest->DB_masks, src->DB_masks, dest->dim * sizeof(*dest->DB_masks));
}
dest->invariant = src->invariant;
if (SpecialDofType(newtype)) {
assert(newtype == src->type);
dest->userfunc = src->userfunc;
dest->userfunc_lambda = src->userfunc_lambda;
if (newtype == DOF_CONSTANT)
memcpy(dest->data, src->data, dim * sizeof(*dest->data));
return dest;
}
if ((newtype != NULL && newtype == src->type) ||
(newtype == NULL && src->hp == dest->hp)) {
/* simply duplicate the data */
size_t size = DofGetDataCount(dest);
if (size > 0)
memcpy(dest->data, src->data, sizeof(FLOAT) * size);
dest->userfunc = src->userfunc;
dest->userfunc_lambda = src->userfunc_lambda;
return dest;
}
if (src->type == DOF_ANALYTIC) {
if (src->userfunc_lambda != NULL)
phgDofSetDataByLambdaFunction(dest, src->userfunc_lambda);
else
phgDofSetDataByFunction(dest, src->userfunc);
return dest;
}
if (newtype != NULL && newtype->BasFuncs == NULL)
phgError(1, "phgDofCopy: basis funcs for DOF type \"%s\" undefined.\n",
newtype->name);
dest->userfunc = src->userfunc;
dest->userfunc_lambda = src->userfunc_lambda;
oldtype = src->type;
if (oldtype == NULL)
oldtype = src->hp->info->types[src->hp->info->min_order];
if (!SpecialDofType(oldtype) && newtype != NULL && newtype->points != NULL
&& !DofIsHP(src)) {
basflag = TRUE;
count = oldtype->nbas * oldtype->dim;
basvalues = phgAlloc(newtype->nbas * count * sizeof(*basvalues));
if (oldtype->invariant == TRUE)
get_bas_funcs(src, dest, src->g->roots, basvalues);
}
if (newtype == NULL)
newtype = dest->hp->info->types[dest->hp->max_order];
flags0 = phgCalloc((newtype->np_vert > 0 ? g->nvert : 0)
+ (newtype->np_edge > 0 ? g->nedge : 0)
+ (newtype->np_face > 0 ? g->nface : 0),
sizeof(*flags0));
if (!SpecialDofType(oldtype) && oldtype->continuity < 0) {
static DOF_TYPE DOF_WGTS = {DofCache,
"Weights", NULL, NULL, NULL, NULL, NULL, NULL, NULL,
phgDofInitFuncPoint, NULL, NULL, NULL, FE_None,
FALSE, FALSE, -1, 0, 0, -1, 1, 0, 0, 0, 0
};
DOF_WGTS.np_vert = (newtype->np_vert > 0) ? 1 : 0;
DOF_WGTS.np_edge = (newtype->np_edge > 0) ? 1 : 0;
DOF_WGTS.np_face = (newtype->np_face > 0) ? 1 : 0;
DOF_WGTS.nbas = DOF_WGTS.np_vert * NVert + DOF_WGTS.np_edge * NEdge +
DOF_WGTS.np_face * NFace;
if (DOF_WGTS.nbas > 0) {
/* Other cases will be implemented later when really needed */
wgts = phgDofNew(g, &DOF_WGTS, 1, "weights", DofNoAction);
phgDofSetDataByValue(wgts, 0.0);
phgDofSetDataByValue(dest, 0.0);
/* allocate buffer for storing weighted vertex/edge/face data */
if ((n = DofGetDataCount(dest) - DofGetElementDataCount(dest)) > 0)
buffer = phgCalloc(n, sizeof(*buffer));
}
}
nvalues = dest->dim;
cache_dof = src;
bas_count = count;
ForAllElements(g, e) {
if (wgts != NULL) {
#if 0
/* use element volume as weight */
w = phgGeomGetVolume(g, e);
#else
/* use 1 as weight */
w = 1.0;
#endif
}
if (basflag && oldtype->invariant == FALSE)
get_bas_funcs(src, dest, e, basvalues);
bas = basvalues;
flags = flags0;
if (DofIsHP(dest))
newtype = dest->hp->info->types[dest->hp->elem_order[e->index]];
if (newtype->np_vert > 0) {
nd = nvalues * newtype->np_vert;
for (k = 0; k < NVert; k++) {
if (flags[n = e->verts[k]] && wgts == NULL) {
/* note: count==0 and bas==NULL for variable order DOF */
bas += count * newtype->np_vert;
continue;
}
flags[n] = TRUE;
a = DofVertexData(dest, n);
newtype->InitFunc(dest, e, VERTEX, k, NULL, func, NULL, a,
NULL);
if (wgts != NULL) {
d = buffer + (a - DofData(dest));
for (i = 0; i < nd; i++)
*(d++) += *(a++) * w;
*DofVertexData(wgts, n) += w;
}
}
flags += g->nvert;
}
if (newtype->np_edge > 0) {
nd = nvalues * newtype->np_edge;
for (k = 0; k < NEdge; k++) {
if (flags[n = e->edges[k]] && wgts == NULL) {
/* note: count==0 and bas==NULL for variable order DOF */
bas += count * newtype->np_edge;
continue;
}
flags[n] = TRUE;
a = DofEdgeData(dest, n);
newtype->InitFunc(dest, e, EDGE, k, NULL, func, NULL, a,
NULL);
if (wgts != NULL) {
d = buffer + (a - DofData(dest));
if (DofIsHP(dest))
nd = dest->dim * (dest->hp->edge_index[n + 1] -
dest->hp->edge_index[n]);
for (i = 0; i < nd; i++)
*(d++) += *(a++) * w;
*DofEdgeData(wgts, n) += w;
}
}
flags += g->nedge;
}
if (newtype->np_face > 0) {
nd = nvalues * newtype->np_face;
for (k = 0; k < NFace; k++) {
if (flags[n = e->faces[k]] && wgts == NULL) {
/* note: count==0 and bas==NULL for variable order DOF */
bas += count * newtype->np_face;
continue;
}
flags[n] = TRUE;
a = DofFaceData(dest, n);
newtype->InitFunc(dest, e, FACE, k, NULL, func, NULL, a,
NULL);
if (wgts != NULL) {
d = buffer + (a - DofData(dest));
if (DofIsHP(dest))
nd = dest->dim * (dest->hp->face_index[n + 1] -
dest->hp->face_index[n]);
for (i = 0; i < nd; i++)
*(d++) += *(a++) * w;
*DofFaceData(wgts, n) += w;
}
}
}
if (newtype->np_elem > 0) {
a = DofElementData(dest, e->index);
newtype->InitFunc(dest, e, ELEMENT, 0, NULL, func, NULL, a,
NULL);
}
}
phgFree(basvalues);
phgFree(flags0);
if (wgts == NULL)
return dest;
if ((n = DofGetDataCount(dest) - DofGetElementDataCount(dest)) > 0) {
memcpy(DofData(dest), buffer, n * sizeof(*buffer));
phgFree(buffer);
}
if (DofIsHP(dest))
newtype = dest->hp->info->types[dest->hp->max_order];
a = DofData(dest);
d = DofData(wgts);
#if USE_MPI
/* FIXME: directly interacting with the vector assembly code in solver.c
is more efficient */
if (g->nprocs > 1) {
SOLVER *solver = phgSolverCreate(SOLVER_BUILTIN, dest, NULL);
INT K = 0, I;
int j;
if (newtype->np_vert > 0) {
nd = dest->count_vert;
for (n = 0; n < g->nvert; n++, d++) {
if (g->types_vert[n] == UNREFERENCED) {
K += nd;
a += nd;
continue;
}
for (j = 0; j < nd; j++, K++, a++) {
I = phgSolverMapD2L(solver, 0, K);
assert(I >= 0 && I < solver->mat->rmap->localsize);
phgSolverAddRHSEntry(solver, I, *a);
phgSolverAddMatrixEntry(solver, I, I, *d);
}
}
}
if (newtype->np_edge > 0) {
nd = nvalues * newtype->np_edge;
for (n = 0; n < g->nedge; n++, d++) {
if (DofIsHP(dest))
nd = dest->dim * (dest->hp->edge_index[n + 1] -
dest->hp->edge_index[n]);
if (g->types_edge[n] == UNREFERENCED) {
K += nd;
a += nd;
continue;
}
for (j = 0; j < nd; j++, K++, a++) {
I = phgSolverMapD2L(solver, 0, K);
assert(I >= 0 && I < solver->mat->rmap->localsize);
phgSolverAddRHSEntry(solver, I, *a);
phgSolverAddMatrixEntry(solver, I, I, *d);
}
}
}
if (newtype->np_face > 0) {
nd = nvalues * newtype->np_face;
for (n = 0; n < g->nface; n++, d++) {
if (DofIsHP(dest))
nd = dest->dim * (dest->hp->face_index[n + 1] -
dest->hp->face_index[n]);
if (g->types_face[n] == UNREFERENCED) {
K += nd;
a += nd;
continue;
}
for (j = 0; j < nd; j++, K++, a++) {
I = phgSolverMapD2L(solver, 0, K);
assert(I >= 0 && I < solver->mat->rmap->localsize);
phgSolverAddRHSEntry(solver, I, *a);
phgSolverAddMatrixEntry(solver, I, I, *d);
}
}
}
if (newtype->np_elem > 0) {
nd = nvalues * newtype->np_elem;
for (n = 0; n < g->nelem; n++) {
if (DofIsHP(dest))
nd = dest->dim * (dest->hp->elem_index[n + 1] -
dest->hp->elem_index[n]);
if (g->types_elem[n] == UNREFERENCED) {
K += nd;
a += nd;
continue;
}
for (j = 0; j < nd; j++, K++, a++) {
I = phgSolverMapD2L(solver, 0, K);
assert(I >= 0 && I < solver->mat->rmap->localsize);
phgSolverAddRHSEntry(solver, I, *a);
phgSolverAddMatrixEntry(solver, I, I, 1.0);
}
}
}
phgSolverSolve(solver, TRUE, dest, NULL);
phgSolverDestroy(&solver);
phgDofFree(&wgts);
return dest;
}
#endif
if (newtype->np_vert > 0) {
k = nvalues * newtype->np_vert;
for (n = 0; n < g->nvert; n++) {
if ((w = *(d++)) == 0.0) {
a += k;
}
else if (k == 1) {
*(a++) /= w;
}
else {
w = 1.0 / w;
for (i = 0; i < k; i++)
*(a++) *= w;
}
}
}
if (newtype->np_edge > 0) {
k = nvalues * newtype->np_edge;
for (n = 0; n < g->nedge; n++) {
if (DofIsHP(dest))
k = dest->dim * (dest->hp->edge_index[n + 1] -
dest->hp->edge_index[n]);
if ((w = *(d++)) == 0.0) {
a += k;
}
else if (k == 1) {
*(a++) /= w;
}
else {
w = 1.0 / w;
for (i = 0; i < k; i++)
*(a++) *= w;
}
}
}
if (newtype->np_face > 0) {
k = nvalues * newtype->np_face;
for (n = 0; n < g->nface; n++) {
if (DofIsHP(dest))
k = dest->dim * (dest->hp->face_index[n + 1] -
dest->hp->face_index[n]);
if ((w = *(d++)) == 0.0) {
a += k;
}
else if (k == 1) {
*(a++) /= w;
}
else {
w = 1.0 / w;
for (i = 0; i < k; i++)
*(a++) *= w;
}
}
}
phgDofFree(&wgts);
return dest;
}
static void
getMoveDirection(MovingMesh *mmesh)
{
GRID *g = _m->g;
SIMPLEX *e;
DOF *logical_move = _m->logical_move;
DOF *logical_node = _m->logical_node;
DOF *move = _m->move;
DOF *logical_node_new, *grad_logical_node;
INT i, j, k, l0, l1;
SOLVER *solver;
DOF *mass_lumping;
FLOAT *v_move, *v_mass;
FLOAT max_vol = -1e10, min_vol = 1e10;
/* Get new monitor */
_m->get_monitor(mmesh); DOF_SCALE(_m->monitor);
logical_node_new = phgDofCopy(logical_node, NULL, NULL, "new logical node coordinates");
grad_logical_node = phgDofGradient(logical_node, NULL, NULL, "grad logical node coordinates");
/* if (logical_node_new->DB_mask == UNDEFINED) */
/* phgError(1, "g->types_vert and DB_mask is VAILD in moving mesh method!!!"); */
/* Create move solver */
phgOptionsPush();
#if 0
phgOptionsSetOptions("-default_solver mm_ml "
"-mm_ml_solver gmres "
"-mm_ml_pc mm_ml "
"-mm_ml_sweep0 6 "
"-solver_maxit 100 "
"-solver_rtol 1e-12 ");
#else
phgOptionsSetOptions("-default_solver hypre "
"-hypre_solver gmres "
"-hypre_pc boomeramg "
"-solver_maxit 100 "
"-solver_rtol 1e-12 ");
#endif
phgOptionsSetOptions(_mp->move_opts);
setMoveConstrain(mmesh, logical_node_new);
solver = phgSolverCreate(SOLVER_DEFAULT, logical_node_new, NULL);
solver->mat->mv_data = phgAlloc(sizeof(*solver->mat->mv_data));
solver->mat->mv_data[0] = (void *) mmesh;
phgOptionsPop();
/* build mat */
ForAllElements(g, e) {
int order = 1, q;
int N = DofGetNBas(logical_node, e); /* number of bases in the element */
FLOAT A[N][Dim][N][Dim], rhs[N][Dim];
INT I[N][Dim];
QUAD *quad;
const FLOAT *w, *lambda;
FLOAT vol, mon;
vol = phgGeomGetVolume(g, e);
max_vol = MAX(max_vol, vol);
min_vol = MIN(min_vol, vol);
for (i = 0; i < N; i++)
for (k = 0; k < Dim; k++)
I[i][k] = phgMapE2L(solver->rhs->map, 0, e, i * Dim + k);
bzero(A, sizeof(A));
bzero(rhs, sizeof(rhs));
quad = phgQuadGetQuad3D(order);
mon = *DofElementData(_m->monitor, e->index);
//printf("mon:%e\n", mon);
lambda = quad->points;
w = quad->weights;
assert(quad->npoints == 1);
for (q = 0; q < quad->npoints; q++) {
for (i = 0; i < N; i++) {
for (j = 0; j < N; j++) {
const FLOAT *ggi =
phgQuadGetBasisGradient(e, _m->move, i, quad) + q*Dim; /* grad phi_i */
const FLOAT *ggj =
phgQuadGetBasisGradient(e, _m->move, j, quad) + q*Dim; /* grad phi_j */
FLOAT a = vol*(*w) * mon * INNER_PRODUCT(ggj, ggi);
for (k = 0; k < Dim; k++) {
A[i][k][j][k] += a;
}
}
}
w++; lambda += Dim + 1;
} /* end quad point */
for (i = 0; i < N; i++) {
INT vert0 = e->verts[i];
if (_mp->fix_bdry || MM_FIXED(g->types_vert[vert0])) {
/* no move */
bzero(A[i], sizeof(A[i]));
for (k = 0; k < Dim; k++) {
A[i][k][i][k] = 1.;
rhs[i][k] = logical_node->data[vert0 * Dim + k];
}
} else if (g->types_vert[vert0] & MM_CONSTR) {
VERT_CONSTRAIN *vert_constr = _m->vert_constr + _m->vert_constr_index[vert0];
FLOAT *trans = vert_constr->Trans;
FLOAT *bb = vert_constr->bb;
assert(_m->vert_constr_index[vert0] >= 0);
assert(vert0 == vert_constr->index);
trans_left_ (&A[i][0][0][0], Dim*N, Dim*N, trans);
trans_right_(&A[0][0][i][0], Dim*N, Dim*N, trans);
if (vert_constr->n_constrain == 2) {
bzero(A[i][0], sizeof(A[i][0]));
bzero(A[i][1], sizeof(A[i][1]));
A[i][0][i][0] = 1.;
A[i][1][i][1] = 1.;
rhs[i][0] = bb[0];
rhs[i][1] = bb[1];
} else if (vert_constr->n_constrain == 1) {
bzero(A[i][0], sizeof(A[i][0]));
A[i][0][i][0] = 1.;
rhs[i][0] = bb[0];
} else {
abort();
}
}
}
for (i = 0; i < N; i++)
phgSolverAddMatrixEntries(solver, Dim, &I[i][0], N * Dim, I[0], &A[i][0][0][0]);
phgSolverAddRHSEntries(solver, N * Dim, &I[0][0], &rhs[0][0]);
}
/* build linear system */
static void
build_mat_vec(DOF *u_w, DOF *dp, DOF *p_nk, DOF *ds, DOF *s_w, DOF *s_w_l, DOF *b_o, DOF *b_o_l, DOF *kro, DOF *dot_kro, DOF *q_o, DOF *b_w, DOF *b_w_l, DOF *krw, DOF *dot_krw, DOF *q_w, DOF *phi, DOF *phi_l, MAP *map_u, MAP *map_p, MAT *A, MAT *B, MAT *TB, MAT *C, VEC *vec_f, VEC *vec_g)
{
GRID *g = u_w->g;
SIMPLEX *e;
FLOAT *p_bo, *p_bw, *p_bol, *p_bwl, *p_kro, *p_dotkro, *p_krw, *p_dotkrw, *p_swl, *p_dp, *p_ds, *p_sw, *p_phi;
INT N = u_w->type->nbas * u_w->dim;
INT M = dp->type->nbas * dp->dim;
INT I[N], J[M];
FLOAT mat_A[N][N], mat_TB[N][M], mat_B[M][N], mat_C[M][M], rhs_f[N], rhs_g[M];
phgVecDisassemble(vec_f);
phgVecDisassemble(vec_g);
int i, j, k;
ForAllElements(g, e) {
p_phi = DofElementData(phi, e->index);
p_bo = DofElementData(b_o, e->index);
p_bol = DofElementData(b_o_l, e->index);
p_bw = DofElementData(b_w, e->index);
p_bwl = DofElementData(b_w_l, e->index);
p_sw = DofElementData(s_w, e->index);
p_swl = DofElementData(s_w_l, e->index);
p_kro = DofElementData(kro, e->index);
p_dotkro = DofElementData(dot_kro, e->index);
p_krw = DofElementData(krw, e->index);
p_dotkrw = DofElementData(dot_krw, e->index);
p_dp = DofElementData(dp, e->index);
p_ds = DofElementData(ds, e->index);
FLOAT T_o = 0, T_w = 0;
T_w = K * p_krw[0] * p_bw[0] / MU_W + K * p_krw[0] * C_W / (MU_W * B0_W) * p_dp[0] + K * p_bw[0] * p_dotkrw[0] / MU_W * p_ds[0];
T_o = K * p_kro[0] * p_bo[0] / MU_O + K * p_kro[0] * C_O / (MU_O * B0_O) * p_dp[0] + K * p_bo[0] * p_dotkro[0] / MU_O * p_ds[0];
for (i = 0; i < N; i++) {
for (j = 0; j < N; j++) {
mat_A[i][j] = stime * phgQuadBasDotBas(e, u_w, i, u_w, j, QUAD_DEFAULT) / T_w;
}
}
for (i = 0; i < N; i++) {
for (j = 0; j < M; j++) {
mat_TB[i][j] = -stime * phgQuadDivBasDotBas(e, u_w, i, dp, j, QUAD_DEFAULT);
}
}
FLOAT wat_sw = 0, oil_sw = 0, wat_cp = 0, oil_cp = 0, beta = 0;
for (i = 0; i < M; i++) {
for (j = 0; j < M; j++) {
wat_sw = p_phi[0] * p_bw[0] * phgQuadBasDotBas(e, ds, i, ds, j, QUAD_DEFAULT);
oil_sw = p_phi[0] * p_bo[0] * phgQuadBasDotBas(e, ds, i, ds, j, QUAD_DEFAULT);
}
}
wat_cp = p_sw[0] * (p_bw[0] * PHI0 * C_R + p_phi[0] * C_W / B0_W);
oil_cp = (1. - p_sw[0]) * (p_bo[0] * PHI0 * C_R + p_phi[0] * C_O / B0_O);
beta = 1. / wat_sw + T_o / (T_w * oil_sw);
FLOAT quad = 0.;
for (i = 0; i < M; i++) {
for (j = 0; j < M; j++) {
quad = phgQuadBasDotBas(e, dp, i, dp, j, QUAD_DEFAULT);
mat_C[i][j] = (wat_cp / wat_sw + oil_cp / oil_sw) * quad / beta;
}
}
/*create oil rhs*/
FLOAT quad_phi = 0., quad_phil = 0., quad_qo = 0, quad_qw = 0;
FLOAT rhs_oil = 0., rhs_wat = 0.;
for (i = 0; i < M; i++) {
phgQuadDofTimesBas(e, q_o, dp, i, QUAD_DEFAULT, &quad_qo);
phgQuadDofTimesBas(e, q_w, dp, i, QUAD_DEFAULT, &quad_qw);
phgQuadDofTimesBas(e, phi, dp, i, QUAD_DEFAULT, &quad_phi);
phgQuadDofTimesBas(e, phi_l, dp, i, QUAD_DEFAULT, &quad_phil);
rhs_oil = -stime * quad_qo + p_bo[0] * (1. - p_sw[0]) * quad_phi - p_bol[0] * (1. - p_swl[0]) * quad_phil;
rhs_wat = -stime * quad_qw + p_bw[0] * p_sw[0] * quad_phi - p_bwl[0] * p_swl[0] * quad_phil;
rhs_g[i] = (rhs_wat / wat_sw + rhs_oil / oil_sw) / beta;
}
for (i = 0; i < N; i++) {
rhs_f[i] = stime * phgQuadDofTimesDivBas(e, p_nk, u_w, i, QUAD_DEFAULT);
}
/* Handle Bdry Conditions*/
for (i = 0; i < N; i++) {
if (phgDofGetElementBoundaryType(u_w, e, i) & (NEUMANN | DIRICHLET)) {
bzero(mat_A[i], N * sizeof(mat_A[i][0]));
bzero(mat_TB[i], M * sizeof(mat_TB[i][0]));
for (j = 0; j < N; j++) {
mat_A[j][i] = 0.;
}
mat_A[i][i] = 1.;
rhs_f[i] = 0.;
}
}
for (i = 0; i < N; i++) {
for (j = 0; j < M; j++) {
mat_B[j][i] = mat_TB[i][j];
}
}
for (i = 0; i < N; i++) {
I[i] = phgMapE2L(map_u, 0, e, i);
}
for (i = 0; i < M; i++) {
J[i] = phgMapE2L(map_p, 0, e, i);
}
phgMatAddEntries(A, N, I, N, I, mat_A[0]);
phgMatAddEntries(TB, N, I, M, J, mat_TB[0]);
phgMatAddEntries(B, M, J, N, I, mat_B[0]);
phgMatAddEntries(C, M, J, M, J, mat_C[0]);
phgVecAddEntries(vec_f, 0, N, I, rhs_f);
phgVecAddEntries(vec_g, 0, M, J, rhs_g);
}
static void
/*build_linear_system*/
build_mat_vec(DOF *dp, DOF *d_so, DOF *d_sw, DOF *dot_muo, DOF *dot_muw, DOF *dot_mug, DOF *dso_kro, DOF *dsw_kro, DOF *dsw_krw, DOF *dso_krg, DOF *dsw_krg, DOF *u_o, DOF *p_h, DOF *p_h_newton, DOF *s_o, DOF *s_o_l, DOF *mu_o, DOF *b_o, DOF *b_o_l, DOF *kro, DOF *dot_bo, DOF *q_o, DOF *s_w, DOF *s_w_l, DOF *mu_w, DOF *b_w, DOF *b_w_l, DOF *krw, DOF *dot_bw, DOF *q_w, DOF *phi, DOF *phi_l, DOF *dot_phi, DOF *Rs, DOF *Rs_l, DOF *dot_Rs, DOF *mu_g, DOF *b_g, DOF *b_g_l, DOF *krg, DOF *dot_bg, DOF *q_g, MAP *map_u, MAP *map_p, MAT *A, MAT *B, MAT *TB, MAT *C, VEC *vec_f, VEC *vec_g)
{
GRID *g = u_o->g;
SIMPLEX *e;
FLOAT *p_so, *p_sol, *p_bo, *p_bol, *p_kro, *p_phi, *p_phil, *p_dotbo, *p_Rs, *p_dotRs, *p_bg, *p_bgl, *p_krg, *p_dotbg, *p_muo, *p_mug, *p_dotphi, *p_Rsl, *p_sw, *p_swl, *p_bw, *p_bwl, *p_krw, *p_dotbw, *p_muw;
FLOAT *p_dotmuo, *p_dotmuw, *p_dotmug, *p_dsokro, *p_dswkro, *p_dswkrw, *p_dsokrg, *p_dswkrg, *p_dp, *p_dso, *p_dsw;
INT N = u_o->type->nbas * u_o->dim;
INT M = dp->type->nbas * dp->dim;
INT I[N], J[M];
FLOAT mat_A[N][N], mat_TB[N][M], mat_B[M][N], mat_C[M][M], rhs_f[N], rhs_g[M];
phgVecDisassemble(vec_f);
phgVecDisassemble(vec_g);
int i, j, k;
ForAllElements(g, e){
p_so = DofElementData(s_o, e->index);
p_sol = DofElementData(s_o_l, e->index);
p_bo = DofElementData(b_o, e->index);
p_bol = DofElementData(b_o_l, e->index);
p_kro = DofElementData(kro, e->index);
p_phi = DofElementData(phi, e->index);
p_phil = DofElementData(phi_l, e->index);
p_dotphi = DofElementData(dot_phi, e->index);
p_dotbo = DofElementData(dot_bo, e->index);
p_Rs = DofElementData(Rs, e->index);
p_Rsl = DofElementData(Rs_l, e->index);
p_dotRs = DofElementData(dot_Rs, e->index);
p_bg = DofElementData(b_g, e->index);
p_bgl = DofElementData(b_g_l, e->index);
p_krg= DofElementData(krg, e->index);
p_dotbg = DofElementData(dot_bg, e->index);
p_muo = DofElementData(mu_o, e->index);
p_muw = DofElementData(mu_w, e->index);
p_mug = DofElementData(mu_g, e->index);
p_sw = DofElementData(s_w, e->index);
p_swl = DofElementData(s_w_l, e->index);
p_bw = DofElementData(b_w, e->index);
p_bwl = DofElementData(b_w_l, e->index);
p_krw = DofElementData(krw, e->index);
p_dotbw = DofElementData(dot_bw, e->index);
/* Add Dofs For SS */
p_dp = DofElementData(dp, e->index);
p_dso = DofElementData(d_so, e->index);
p_dsw = DofElementData(d_sw, e->index);
p_dotmuo = DofElementData(dot_muo, e->index);
p_dotmuw = DofElementData(dot_muw, e->index);
p_dotmug = DofElementData(dot_mug, e->index);
p_dsokro = DofElementData(dso_kro, e->index);
p_dswkro = DofElementData(dsw_kro, e->index);
p_dswkrw = DofElementData(dsw_krw, e->index);
p_dsokrg = DofElementData(dso_krg, e->index);
p_dswkrg = DofElementData(dsw_krg, e->index);
/*Create inverse matrix*/
FLOAT oil_so = 0., wat_sw = 0., gas_so = 0., gas_sw = 0.;
for (i = 0; i < M; i++){
for (j = 0; j < M; j++){
oil_so = p_phi[0] * p_bo[0] * phgQuadBasDotBas(e, d_so, i, d_so, j, QUAD_DEFAULT);
wat_sw = p_phi[0] * p_bw[0] * phgQuadBasDotBas(e, d_sw, i, d_sw, j, QUAD_DEFAULT);
gas_so = p_phi[0] * (p_bg[0] - p_Rs[0] * p_bo[0]) * phgQuadBasDotBas(e, d_so, i, d_so, j, QUAD_DEFAULT);
gas_sw = p_phi[0] * p_bg[0] * phgQuadBasDotBas(e, d_sw, i, d_sw, j, QUAD_DEFAULT);
}
}
#if SS
FLOAT alpha_o = 0., alpha_w = 0., alpha_g = 0.;
alpha_o = K * p_kro[0] * p_bo[0] * p_muo[0] + K * p_kro[0] * (p_bo[0] * p_dotmuo[0] + p_dotbo[0] * p_muo[0]) * p_dp[0] \
+ K * p_bo[0] * p_muo[0] * (p_dsokro[0] * p_dso[0] + p_dswkro[0] * p_dsw[0]);
alpha_w = K * p_krw[0] * p_bw[0] * p_muw[0] + K * p_krw[0] * (p_bw[0] * p_dotmuw[0] + p_dotbw[0] * p_muw[0]) * p_dp[0] \
+ K * p_bw[0] * p_muw[0] * p_dswkrw[0] * p_dsw[0];
alpha_g = K * p_krg[0] * p_bg[0] * p_mug[0] + K * p_krg[0] * (p_bg[0] * p_dotmug[0] + p_dotbg[0] * p_mug[0]) * p_dp[0] \
+ K * p_bg[0] * p_mug[0] * (p_dsokrg[0] * p_dso[0] + p_dswkrg[0] * p_dsw[0]);
for (i = 0; i < N; i++){
for (j = 0; j < N; j++){
mat_A[i][j] = stime * phgQuadBasDotBas(e, u_o, i, u_o, j, QUAD_DEFAULT) / alpha_o;
}
}
FLOAT beta = 0;
beta = gas_so / oil_so + gas_sw * alpha_w / (wat_sw * alpha_o) + (p_Rs[0] + alpha_g / alpha_o);
#endif
#if IMPES
FLOAT T_o = 0, T_w = 0, T_g = 0;
T_o = K * p_kro[0] * p_bo[0] * p_muo[0];
T_w = K * p_krw[0] * p_bw[0] * p_muw[0];
T_g = K * p_krg[0] * p_bg[0] * p_mug[0];
for (i = 0; i < N; i++){
for (j = 0; j < N; j++){
mat_A[i][j] = stime * phgQuadBasDotBas(e, u_o, i, u_o, j, QUAD_DEFAULT) / T_o;
}
}
FLOAT beta = 0;
beta = gas_so / oil_so + gas_sw * T_w / (wat_sw * T_o) + (p_Rs[0] + T_g / T_o);
#endif
for (i = 0; i < N; i++){
for (j = 0; j < M; j++){
mat_TB[i][j] = -stime * phgQuadDivBasDotBas(e, u_o, i, dp, j, QUAD_DEFAULT);
}
}
FLOAT quad = 0., oil_cp = 0., wat_cp = 0., gas_cp = 0.;
oil_cp = p_so[0] * (p_bo[0] * p_dotphi[0] + p_phi[0] * p_dotbo[0]);
wat_cp = p_sw[0] * (p_bw[0] * p_dotphi[0] + p_phi[0] * p_dotbw[0]);
gas_cp = p_so[0] * p_phi[0] * p_bo[0] * p_dotRs[0] + p_Rs[0] * oil_cp + (1. - p_so[0] - p_sw[0]) * (p_phi[0] * p_dotbg[0] + p_bg[0] * p_dotphi[0]);
for (i = 0; i < M; i++){
for (j = 0; j < M; j++){
quad = phgQuadBasDotBas(e, dp, i, dp, j, QUAD_DEFAULT);
mat_C[i][j] = (gas_so * oil_cp / oil_so + gas_sw * wat_cp / wat_sw + gas_cp) * quad / beta;
}
}
/*Create rhs*/
FLOAT quad_qo = 0;
FLOAT quad_qw = 0.;
FLOAT quad_qg = 0.;
FLOAT quad_phi = 0, quad_phil = 0;
FLOAT rhs_oil = 0, rhs_wat = 0., rhs_gas = 0;
for (i = 0; i < M; i++){
phgQuadDofTimesBas(e, q_o, dp, i, QUAD_DEFAULT, &quad_qo);
phgQuadDofTimesBas(e, q_w, dp, i, QUAD_DEFAULT, &quad_qw);
phgQuadDofTimesBas(e, q_g, dp, i, QUAD_DEFAULT, &quad_qg);
phgQuadDofTimesBas(e, phi, dp, i, QUAD_DEFAULT, &quad_phi);
phgQuadDofTimesBas(e, phi_l, dp, i, QUAD_DEFAULT, &quad_phil);
rhs_oil = -stime * quad_qo + p_so[0] * p_bo[0] * quad_phi - p_sol[0] * p_bol[0] * quad_phil;
rhs_wat = -stime * quad_qw + p_sw[0] * p_bw[0] * quad_phi - p_swl[0] * p_bwl[0] * quad_phil;
rhs_gas = -stime * quad_qg + (p_bg[0] * (1. - p_so[0] - p_sw[0]) + p_Rs[0] * p_so[0] * p_bo[0]) * quad_phi \
- (p_Rsl[0] * p_bol[0] * p_sol[0] + p_bgl[0] * (1. - p_sol[0] - p_swl[0])) * quad_phil;
rhs_g[i] = (gas_so * rhs_oil / oil_so + gas_sw * rhs_wat / wat_sw + rhs_gas) / beta;
}
for (i = 0; i < N; i++){
rhs_f[i] = stime * phgQuadDofTimesDivBas(e, p_h, u_o, i, QUAD_DEFAULT);
}
/* Handle Bdry Conditions */
for (i = 0; i < N; i++){
if (phgDofGetElementBoundaryType(u_o, e, i) & (NEUMANN | DIRICHLET)){
bzero(mat_A[i], N *sizeof(mat_A[i][0]));
bzero(mat_TB[i], M *sizeof(mat_TB[i][0]));
for (j = 0; j < N; j++){
mat_A[j][i] = 0.0;
}
mat_A[i][i] = 1.0;
rhs_f[i] = 0.;
}
}
for (i = 0; i < N; i++){
for (j = 0; j < M; j++){
mat_B[j][i] = mat_TB[i][j];
}
}
for (i = 0; i < N; i++){
I[i] = phgMapE2L(map_u, 0, e, i);
}
for (i = 0; i < M; i++){
J[i] = phgMapE2L(map_p, 0, e, i);
}
phgMatAddEntries(A, N, I, N, I, mat_A[0]);
phgMatAddEntries(TB, N, I, M, J, mat_TB[0]);
phgMatAddEntries(B, M, J, N, I, mat_B[0]);
phgMatAddEntries(C, M, J, M, J, mat_C[0]);
phgVecAddEntries(vec_f, 0, N, I, rhs_f);
phgVecAddEntries(vec_g, 0, M, J, rhs_g);
}
