static void drawElementLabels(drawContext *ctx, GEntity *e,
std::vector<T*> &elements, int forceColor=0,
unsigned int color=0)
{
unsigned col = forceColor ? color : getColorByEntity(e);
glColor4ubv((GLubyte *) & col);
int labelStep = CTX::instance()->mesh.labelSampling;
if(labelStep <= 0) labelStep = 1;
for(unsigned int i = 0; i < elements.size(); i++){
MElement *ele = elements[i];
if(!isElementVisible(ele)) continue;
if(i % labelStep == 0) {
SPoint3 pc = ele->barycenter();
char str[256];
if(CTX::instance()->mesh.labelType == 4)
sprintf(str, "(%g,%g,%g)", pc.x(), pc.y(), pc.z());
else if(CTX::instance()->mesh.labelType == 3)
sprintf(str, "%d", ele->getPartition());
else if(CTX::instance()->mesh.labelType == 2){
int np = e->physicals.size();
int p = np ? e->physicals[np - 1] : 0;
sprintf(str, "%d", p);
}
else if(CTX::instance()->mesh.labelType == 1)
sprintf(str, "%d", e->tag());
else
sprintf(str, "%d", ele->getNum());
glRasterPos3d(pc.x(), pc.y(), pc.z());
ctx->drawString(str);
}
}
}
PView *elasticitySolver::buildElasticEnergyView(const std::string postFileName)
{
std::cout << "build Elastic Energy View"<< std::endl;
std::map<int, std::vector<double> > data;
GaussQuadrature Integ_Bulk(GaussQuadrature::GradGrad);
for (unsigned int i = 0; i < elasticFields.size(); ++i)
{
if(elasticFields[i]._E == 0.) continue;
SolverField<SVector3> Field(pAssembler, LagSpace);
IsotropicElasticTerm Eterm(Field,elasticFields[i]._E,elasticFields[i]._nu);
BilinearTermToScalarTerm Elastic_Energy_Term(Eterm);
ScalarTermConstant<double> One(1.0);
for (groupOfElements::elementContainer::const_iterator it =
elasticFields[i].g->begin(); it != elasticFields[i].g->end(); ++it)
{
MElement *e = *it;
double energ;
double vol;
IntPt *GP;
int npts=Integ_Bulk.getIntPoints(e,&GP);
Elastic_Energy_Term.get(e,npts,GP,energ);
One.get(e,npts,GP,vol);
std::vector<double> vec;
vec.push_back(energ/vol);
data[e->getNum()]=vec;
}
}
PView *pv = new PView (postFileName, "ElementData", pModel, data, 0.0);
return pv;
}
PView *elasticitySolver::buildStrainView(const std::string postFileName)
{
std::cout << "build strain view" << std::endl;
std::map<int, std::vector<double> > data;
for(std::size_t i = 0; i < elasticFields.size(); ++i) {
SolverField<SVector3> Field(pAssembler, LagSpace);
for(groupOfElements::elementContainer::const_iterator it =
elasticFields[i].g->begin();
it != elasticFields[i].g->end(); ++it) {
MElement *e = *it;
int nbVertex = e->getNumVertices();
std::vector<SVector3> val(nbVertex);
double valx[256];
double valy[256];
double valz[256];
for(int k = 0; k < nbVertex; k++) {
MVertex *v = e->getVertex(k);
MPoint p(v);
Field.f(&p, 0, 0, 0, val[k]);
valx[k] = val[k](0);
valy[k] = val[k](1);
valz[k] = val[k](2);
}
double gradux[3];
double graduy[3];
double graduz[3];
double u = 0.33, v = 0.33, w = 0.0;
e->interpolateGrad(valx, u, v, w, gradux);
e->interpolateGrad(valy, u, v, w, graduy);
e->interpolateGrad(valz, u, v, w, graduz);
std::vector<double> vec(9);
vec[0] = gradux[0];
vec[4] = graduy[1];
vec[8] = graduy[2];
vec[1] = vec[3] = 0.5 * (gradux[0] + graduy[1]);
vec[2] = vec[6] = 0.5 * (gradux[0] + graduz[2]);
vec[5] = vec[7] = 0.5 * (gradux[1] + graduz[2]);
data[e->getNum()] = vec;
}
}
PView *pv = new PView(postFileName, "ElementData", pModel, data, 0.0);
return pv;
}
PView *elasticitySolver::buildErrorView(const std::string postFileName,
simpleFunction<double> *f0,
simpleFunction<double> *f1,
simpleFunction<double> *f2)
{
std::cout << "build Error View" << std::endl;
std::map<int, std::vector<double> > data;
SolverField<SVector3> solField(pAssembler, LagSpace);
for(std::size_t i = 0; i < elasticFields.size(); ++i) {
for(groupOfElements::elementContainer::const_iterator it =
elasticFields[i].g->begin();
it != elasticFields[i].g->end(); ++it) {
MElement *e = *it;
int npts;
IntPt *GP;
double jac[3][3];
int integrationOrder = 2 * (e->getPolynomialOrder() + 5);
e->getIntegrationPoints(integrationOrder, &npts, &GP);
double val = 0.0;
for(int j = 0; j < npts; j++) {
double u = GP[j].pt[0];
double v = GP[j].pt[1];
double w = GP[j].pt[2];
double weight = GP[j].weight;
double detJ = fabs(e->getJacobian(u, v, w, jac));
SPoint3 p;
e->pnt(u, v, w, p);
SVector3 FEMVALUE;
solField.f(e, u, v, w, FEMVALUE);
SVector3 sol((*f0)(p.x(), p.y(), p.z()), (*f1)(p.x(), p.y(), p.z()),
(*f2)(p.x(), p.y(), p.z()));
double diff = normSq(sol - FEMVALUE);
val += diff * detJ * weight;
}
std::vector<double> vec;
vec.push_back(sqrt(val));
data[e->getNum()] = vec;
}
}
PView *pv = new PView(postFileName, "ElementData", pModel, data, 0.0, 1);
return pv;
}
PView *elasticitySolver::buildVolumeView(const std::string postFileName)
{
std::cout << "build Volume View";
std::map<int, std::vector<double> > data;
double voltot = 0;
double length = 0;
GaussQuadrature Integ_Vol(GaussQuadrature::Val);
for(std::size_t i = 0; i < elasticFields.size(); ++i) {
ScalarTermConstant<double> One(1.0);
for(groupOfElements::elementContainer::const_iterator it =
elasticFields[i].g->begin();
it != elasticFields[i].g->end(); ++it) {
MElement *e = *it;
double vol;
IntPt *GP;
int npts = Integ_Vol.getIntPoints(e, &GP);
One.get(e, npts, GP, vol);
voltot += vol;
std::vector<double> vec;
vec.push_back(vol);
data[e->getNum()] = vec;
}
}
for(std::size_t i = 0; i < LagrangeMultiplierFields.size(); ++i) {
ScalarTermConstant<double> One(1.0);
for(groupOfElements::elementContainer::const_iterator it =
LagrangeMultiplierFields[i].g->begin();
it != LagrangeMultiplierFields[i].g->end(); ++it) {
MElement *e = *it;
double l;
IntPt *GP;
int npts = Integ_Vol.getIntPoints(e, &GP);
One.get(e, npts, GP, l);
length += l;
}
std::cout << " : length " << LagrangeMultiplierFields[i]._tag << " = "
<< length;
length = 0;
}
PView *pv = new PView(postFileName, "ElementData", pModel, data, 0.0, 1);
std::cout << " / total vol = " << voltot << std::endl;
return pv;
}
int GModel::writeKEY(const std::string &name, int saveAll,
int saveGroupsOfNodes, double scalingFactor)
{
FILE *fp = Fopen(name.c_str(), "w");
if(!fp) {
Msg::Error("Unable to open file '%s'", name.c_str());
return 0;
}
if(noPhysicalGroups()) saveAll = 0x51;
indexMeshVertices(saveAll & 0x51);
std::vector<GEntity *> entities;
getEntities(entities);
fprintf(fp, "$# LS-DYNA Keyword file created by Gmsh\n*KEYWORD\n*TITLE\n");
fprintf(fp, " %s\n", name.c_str());
fprintf(fp, "*NODE\n");
for(std::size_t i = 0; i < entities.size(); i++)
for(std::size_t j = 0; j < entities[i]->mesh_vertices.size(); j++)
entities[i]->mesh_vertices[j]->writeKEY(fp, scalingFactor);
if(!(saveAll & 0x2)) // save or ignore Vertex, not in GUI
for(viter it = firstVertex(); it != lastVertex(); ++it) {
writeElementsKEY(fp, *it, (*it)->points, saveAll & 0x1);
}
if(!(saveAll & 0x8)) // save or ignore line
for(eiter it = firstEdge(); it != lastEdge(); ++it) {
writeElementsKEY(fp, *it, (*it)->lines, saveAll & 0x4);
}
if(!(saveAll & 0x20)) // save or ignore surface
for(fiter it = firstFace(); it != lastFace(); ++it) {
writeElementsKEY(fp, *it, (*it)->triangles, saveAll & 0x10);
writeElementsKEY(fp, *it, (*it)->quadrangles, saveAll & 0x10);
}
if(!(saveAll & 0x80)) // save or ignore surface
for(riter it = firstRegion(); it != lastRegion(); ++it) {
writeElementsKEY(fp, *it, (*it)->tetrahedra, saveAll & 0x40);
writeElementsKEY(fp, *it, (*it)->hexahedra, saveAll & 0x40);
writeElementsKEY(fp, *it, (*it)->prisms, saveAll & 0x40);
writeElementsKEY(fp, *it, (*it)->pyramids, saveAll & 0x40);
}
std::map<int, std::vector<GEntity *> > groups[4];
getPhysicalGroups(groups);
int setid = 0;
// save elements sets for each physical group
if(saveGroupsOfNodes & 0x2) {
for(int dim = 0; dim <= 3; dim++) {
if(saveAll & (0x2 << (2 * dim))) continue; // elements are ignored
for(std::map<int, std::vector<GEntity *> >::iterator it =
groups[dim].begin();
it != groups[dim].end(); it++) {
std::vector<GEntity *> &entities = it->second;
int n = 0;
for(std::size_t i = 0; i < entities.size(); i++) {
for(std::size_t j = 0; j < entities[i]->getNumMeshElements(); j++) {
MElement *e = entities[i]->getMeshElement(j);
if(!n) {
const char *str = (e->getDim() == 3) ?
"SOLID" :
(e->getDim() == 2) ?
"SHELL" :
(e->getDim() == 1) ? "BEAM" : "NODE";
fprintf(fp, "*SET_%s_LIST\n$# %s\n%d", str,
physicalName(this, dim, it->first).c_str(), ++setid);
}
if(!(n % 8))
fprintf(fp, "\n%lu", e->getNum());
else
fprintf(fp, ", %lu", e->getNum());
n++;
}
}
if(n) fprintf(fp, "\n");
}
}
}
// save node sets for each physical group, for easier load/b.c.
if(saveGroupsOfNodes & 0x1) {
for(int dim = 1; dim <= 3; dim++) {
for(std::map<int, std::vector<GEntity *> >::iterator it =
groups[dim].begin();
it != groups[dim].end(); it++) {
std::set<MVertex *> nodes;
std::vector<GEntity *> &entities = it->second;
for(std::size_t i = 0; i < entities.size(); i++) {
for(std::size_t j = 0; j < entities[i]->getNumMeshElements(); j++) {
MElement *e = entities[i]->getMeshElement(j);
for(std::size_t k = 0; k < e->getNumVertices(); k++)
nodes.insert(e->getVertex(k));
}
}
fprintf(fp, "*SET_NODE_LIST\n$# %s\n%d",
physicalName(this, dim, it->first).c_str(), ++setid);
int n = 0;
for(std::set<MVertex *>::iterator it2 = nodes.begin();
it2 != nodes.end(); it2++) {
if(!(n % 8))
fprintf(fp, "\n%ld", (*it2)->getIndex());
else
fprintf(fp, ", %ld", (*it2)->getIndex());
n++;
}
if(n) fprintf(fp, "\n");
}
}
}
fprintf(fp, "*END\n");
fclose(fp);
return 1;
}
PView *elasticitySolver::buildStressesView(const std::string postFileName)
{
double sti[6] = {0., 0., 0., 0., 0., 0.};
double str[6] = {0., 0., 0., 0., 0., 0.};
double volTot = 0.;
std::cout << "build stresses view" << std::endl;
std::map<int, std::vector<double> > data;
for(std::size_t i = 0; i < elasticFields.size(); ++i) {
double E = elasticFields[i]._e;
double nu = elasticFields[i]._nu;
SolverField<SVector3> Field(pAssembler, LagSpace);
for(groupOfElements::elementContainer::const_iterator it =
elasticFields[i].g->begin();
it != elasticFields[i].g->end(); ++it) {
MElement *e = *it;
double vol = e->getVolume() * e->getVolumeSign();
int nbVertex = e->getNumVertices();
std::vector<SVector3> val(nbVertex);
double valx[256];
double valy[256];
double valz[256];
for(int k = 0; k < nbVertex; k++) {
MVertex *v = e->getVertex(k);
MPoint p(v);
Field.f(&p, 0, 0, 0, val[k]);
valx[k] = val[k](0);
valy[k] = val[k](1);
valz[k] = val[k](2);
}
double gradux[3];
double graduy[3];
double graduz[3];
SPoint3 center = e->barycenterUVW();
double u = center.x(), v = center.y(), w = center.z();
e->interpolateGrad(valx, u, v, w, gradux);
e->interpolateGrad(valy, u, v, w, graduy);
e->interpolateGrad(valz, u, v, w, graduz);
double eps[6] = {gradux[0],
graduy[1],
graduz[2],
0.5 * (gradux[1] + graduy[0]),
0.5 * (gradux[2] + graduz[0]),
0.5 * (graduy[2] + graduz[1])};
double A = E / (1. + nu);
double B = A * (nu / (1. - 2 * nu));
double trace = eps[0] + eps[1] + eps[2];
double sxx = A * eps[0] + B * trace;
double syy = A * eps[1] + B * trace;
double szz = A * eps[2] + B * trace;
double sxy = A * eps[3];
double sxz = A * eps[4];
double syz = A * eps[5];
std::vector<double> vec(9);
vec[0] = sxx;
vec[1] = sxy;
vec[2] = sxz;
vec[3] = sxy;
vec[4] = syy;
vec[5] = syz;
vec[6] = sxz;
vec[7] = syz;
vec[8] = szz;
data[e->getNum()] = vec;
for(int k = 0; k < 6; k++) str[k] += eps[k] * vol;
sti[0] += sxx * vol;
sti[1] += syy * vol;
sti[2] += szz * vol;
sti[3] += sxy * vol;
sti[4] += sxz * vol;
sti[5] += syz * vol;
volTot += vol;
}
}
for(int i = 0; i < 6; i++) {
str[i] = str[i] / volTot;
sti[i] = sti[i] / volTot;
}
printf("effective stiffn = ");
for(int i = 0; i < 6; i++) printf("%g ", sti[i]);
printf("\n");
printf("effective strain = ");
for(int i = 0; i < 6; i++) printf("%g ", str[i]);
printf("\n");
PView *pv = new PView(postFileName, "ElementData", pModel, data, 0.0);
return pv;
}
int GModel::writeINP(const std::string &name, bool saveAll, bool saveGroupsOfNodes,
double scalingFactor)
{
FILE *fp = Fopen(name.c_str(), "w");
if(!fp){
Msg::Error("Unable to open file '%s'", name.c_str());
return 0;
}
if(noPhysicalGroups()) saveAll = true;
indexMeshVertices(saveAll);
std::vector<GEntity*> entities;
getEntities(entities);
fprintf(fp, "*Heading\n");
fprintf(fp, " %s\n", name.c_str());
fprintf(fp, "*Node\n");
for(unsigned int i = 0; i < entities.size(); i++)
for(unsigned int j = 0; j < entities[i]->mesh_vertices.size(); j++)
entities[i]->mesh_vertices[j]->writeINP(fp, scalingFactor);
for(viter it = firstVertex(); it != lastVertex(); ++it){
writeElementsINP(fp, *it, (*it)->points, saveAll);
}
for(eiter it = firstEdge(); it != lastEdge(); ++it){
writeElementsINP(fp, *it, (*it)->lines, saveAll);
}
for(fiter it = firstFace(); it != lastFace(); ++it){
writeElementsINP(fp, *it, (*it)->triangles, saveAll);
writeElementsINP(fp, *it, (*it)->quadrangles, saveAll);
}
for(riter it = firstRegion(); it != lastRegion(); ++it){
writeElementsINP(fp, *it, (*it)->tetrahedra, saveAll);
writeElementsINP(fp, *it, (*it)->hexahedra, saveAll);
writeElementsINP(fp, *it, (*it)->prisms, saveAll);
writeElementsINP(fp, *it, (*it)->pyramids, saveAll);
}
std::map<int, std::vector<GEntity*> > groups[4];
getPhysicalGroups(groups);
// save elements sets for each physical group
for(int dim = 0; dim <= 3; dim++){
for(std::map<int, std::vector<GEntity*> >::iterator it = groups[dim].begin();
it != groups[dim].end(); it++){
std::vector<GEntity *> &entities = it->second;
fprintf(fp, "*ELSET,ELSET=%s\n", physicalName(this, dim, it->first).c_str());
int n = 0;
for(unsigned int i = 0; i < entities.size(); i++){
for(unsigned int j = 0; j < entities[i]->getNumMeshElements(); j++){
MElement *e = entities[i]->getMeshElement(j);
if(n && !(n % 10)) fprintf(fp, "\n");
fprintf(fp, "%d, ", e->getNum());
n++;
}
}
fprintf(fp, "\n");
}
}
// save node sets for each physical group
if(saveGroupsOfNodes){
for(int dim = 1; dim <= 3; dim++){
for(std::map<int, std::vector<GEntity*> >::iterator it = groups[dim].begin();
it != groups[dim].end(); it++){
std::set<MVertex*> nodes;
std::vector<GEntity *> &entities = it->second;
for(unsigned int i = 0; i < entities.size(); i++){
for(unsigned int j = 0; j < entities[i]->getNumMeshElements(); j++){
MElement *e = entities[i]->getMeshElement(j);
for (int k = 0; k < e->getNumVertices(); k++)
nodes.insert(e->getVertex(k));
}
}
fprintf(fp, "*NSET,NSET=%s\n", physicalName(this, dim, it->first).c_str());
int n = 0;
for(std::set<MVertex*>::iterator it2 = nodes.begin(); it2 != nodes.end(); it2++){
if(n && !(n % 10)) fprintf(fp, "\n");
fprintf(fp, "%d, ", (*it2)->getIndex());
n++;
}
fprintf(fp, "\n");
}
}
}
fclose(fp);
return 1;
}