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Larry Price
gmsh
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cef6be3b
Commit
cef6be3b
authored
15 years ago
by
Jonathan Lambrechts
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ceeedcf2
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ceeedcf2
#include "dgGroupOfElements.h"
#include "MElement.h"
#include "functionSpace.h"
#include "Numeric.h"
#include "MTriangle.h"
#include "MLine.h"
static fullMatrix<double> * dgGetIntegrationRule (MElement *e, int p){
int npts;
IntPt *pts;
e->getIntegrationPoints(2*p+1, &npts, &pts);
fullMatrix<double> *m = new fullMatrix<double> (npts, 4);
for (int i=0;i<npts;i++){
(*m)(i,0) = pts[i].pt[0];
(*m)(i,1) = pts[i].pt[1];
(*m)(i,2) = pts[i].pt[2];
(*m)(i,3) = pts[i].weight;
}
return m;
}
static fullMatrix<double> * dgGetFaceIntegrationRuleOnElement (
const functionSpace *fsFace,
const fullMatrix<double> &intgFace,
const functionSpace *fsElement,
const std::vector <int> *closure) {
int npts=intgFace.size1();
fullMatrix<double> *m = new fullMatrix<double> (npts, 4);
double f[256];
for (int i=0;i<npts;i++){
fsFace->f(intgFace(i,0),intgFace(i,1),intgFace(i,2),f);
for(size_t j=0; j<closure->size();j++){
int jNod=(*closure)[j];
(*m)(i,0) += f[j] * fsElement->points(jNod,0);
(*m)(i,1) += f[j] * fsElement->points(jNod,1);
(*m)(i,2) += f[j] * fsElement->points(jNod,2);
(*m)(i,3) = intgFace(i,3);
}
}
return m;
}
dgGroupOfElements::dgGroupOfElements(const std::vector<MElement*> &e, int polyOrder)
: _elements(e),
_fs(*_elements[0]->getFunctionSpace(polyOrder)),
_integration(dgGetIntegrationRule (_elements[0], polyOrder)
)
{
_dimUVW = _dimXYZ = e[0]->getDim();
// this is the biggest piece of data ... the mappings
int nbNodes = _fs.coefficients.size1();
_redistributionFluxes[0] = new fullMatrix<double> (nbNodes,_integration->size1());
_redistributionFluxes[1] = new fullMatrix<double> (nbNodes,_integration->size1());
_redistributionFluxes[2] = new fullMatrix<double> (nbNodes,_integration->size1());
_redistributionSource = new fullMatrix<double> (nbNodes,_integration->size1());
_collocation = new fullMatrix<double> (_integration->size1(),nbNodes);
_mapping = new fullMatrix<double> (e.size(), 10 * _integration->size1());
_imass = new fullMatrix<double> (nbNodes,nbNodes*e.size());
double g[256][3],f[256];
for (int i=0;i<_elements.size();i++){
MElement *e = _elements[i];
fullMatrix<double> imass(*_imass,nbNodes*i,nbNodes);
for (int j=0;j< _integration->size1() ; j++ ){
_fs.f((*_integration)(j,0), (*_integration)(j,1), (*_integration)(j,2), f);
double jac[3][3],ijac[3][3],detjac;
(*_mapping)(i,10*j + 9) =
e->getJacobian ((*_integration)(j,0), (*_integration)(j,1), (*_integration)(j,2), jac);
const double weight = (*_integration)(j,3);
detjac=inv3x3(jac,ijac);
(*_mapping)(i,10*j + 0) = ijac[0][0];
(*_mapping)(i,10*j + 1) = ijac[0][1];
(*_mapping)(i,10*j + 2) = ijac[0][2];
(*_mapping)(i,10*j + 3) = ijac[1][0];
(*_mapping)(i,10*j + 4) = ijac[1][1];
(*_mapping)(i,10*j + 5) = ijac[1][2];
(*_mapping)(i,10*j + 6) = ijac[2][0];
(*_mapping)(i,10*j + 7) = ijac[2][1];
(*_mapping)(i,10*j + 8) = ijac[2][2];
(*_mapping)(i,10*j + 9) = detjac;
for (int k=0;k<_fs.coefficients.size1();k++){
for (int l=0;l<_fs.coefficients.size1();l++) {
imass(k,l) += f[k]*f[l]*weight*detjac;
}
}
}
imass.invertInPlace();
}
// redistribution matrix
// quadrature weight x parametric gradients in quadrature points
for (int j=0;j<_integration->size1();j++) {
_fs.df((*_integration)(j,0),
(*_integration)(j,1),
(*_integration)(j,2), g);
_fs.f((*_integration)(j,0),
(*_integration)(j,1),
(*_integration)(j,2), f);
const double weight = (*_integration)(j,3);
for (int k=0;k<_fs.coefficients.size1();k++){
(*_redistributionFluxes[0])(k,j) = g[k][0] * weight;
(*_redistributionFluxes[1])(k,j) = g[k][1] * weight;
(*_redistributionFluxes[2])(k,j) = g[k][2] * weight;
(*_redistributionSource)(k,j) = f[k] * weight;
(*_collocation)(j,k) = f[k];
}
}
}
dgGroupOfElements::~dgGroupOfElements(){
delete _integration;
delete _redistributionFluxes[0];
delete _redistributionFluxes[1];
delete _redistributionFluxes[2];
delete _redistributionSource;
delete _mapping;
delete _collocation;
delete _imass;
}
void dgGroupOfFaces::computeFaceNormals () {
double g[256][3];
_normals = new fullMatrix<double> (3,_fsFace->points.size1()*_faces.size());
int index = 0;
for (size_t i=0; i<_faces.size();i++){
const std::vector<int> &closure=*_closuresLeft[i];
fullMatrix<double> *intLeft=dgGetFaceIntegrationRuleOnElement(_fsFace,*_integration,_fsLeft,&closure);
for (int j=0; j<intLeft->size1(); j++){
_fsLeft->df((*intLeft)(j,0),(*intLeft)(j,1),(*intLeft)(j,2),g);
double &nx=(*_normals)(0,index);
double &ny=(*_normals)(1,index);
double &nz=(*_normals)(2,index);
for (size_t k=0; k<closure.size(); k++){
nx += g[closure[k]][0];
ny += g[closure[k]][1];
nz += g[closure[k]][2];
}
double norm = sqrt(nx*nx+ny*ny+nz*nz);
nx/=norm;
ny/=norm;
nz/=norm;
index++;
}
delete intLeft;
}
}
void dgGroupOfFaces::addFace(const MFace &topoFace, int iElLeft, int iElRight){
// compute all closures
// compute closures for the interpolation
_left.push_back(iElLeft);
_right.push_back(iElRight);
MElement &elRight = *_groupRight.getElement(iElRight);
MElement &elLeft = *_groupLeft.getElement(iElLeft);
int ithFace, sign, rot;
elLeft.getFaceInfo (topoFace, ithFace, sign, rot);
_closuresLeft.push_back(&(_fsLeft->getFaceClosure(ithFace, sign, rot)));
elRight.getFaceInfo (topoFace, ithFace, sign, rot);
_closuresRight.push_back(&(_fsRight->getFaceClosure(ithFace, sign, rot)));
// compute the face element that correspond to the geometrical closure
// get the vertices of the face
std::vector<MVertex*> vertices;
for(int j=0;j<topoFace.getNumVertices();j++)
vertices.push_back(topoFace.getVertex(j));
const std::vector<int> & geomClosure = elRight.getFunctionSpace()->getFaceClosure(ithFace, sign, rot);
for (int j=0; j<geomClosure.size() ; j++)
vertices.push_back( elRight.getVertex(geomClosure[j]) );
// triangular face
if (topoFace.getNumVertices() == 3){
switch(vertices.size()){
case 3 : _faces.push_back(new MTriangle (vertices) ); break;
case 6 : _faces.push_back(new MTriangle6 (vertices) ); break;
case 10 : _faces.push_back(new MTriangleN (vertices, 3) ); break;
case 15 : _faces.push_back(new MTriangleN (vertices, 4) ); break;
case 21 : _faces.push_back(new MTriangleN (vertices, 5) ); break;
default : throw;
}
}
// quad face 2 do
else throw;
}
static std::vector<int> *fakeClosure2d(const functionSpace *fs, int ithEdge, int sign){
std::vector<int> closure;
if(sign==1){
closure.push_back(ithEdge);
closure.push_back((ithEdge+1)%3);
}else{
closure.push_back((ithEdge+1)%3);
closure.push_back(ithEdge);
}
std::vector<int> closureHO = fs->getEdgeClosure(ithEdge, sign);
closure.insert(closure.end(),closureHO.begin(),closureHO.end());
return new std::vector<int>(closure);
}
void dgGroupOfFaces::addEdge(const MEdge &topoEdge, int iElLeft, int iElRight){
_left.push_back(iElLeft);
_right.push_back(iElRight);
MElement &elRight = *_groupRight.getElement(iElRight);
MElement &elLeft = *_groupLeft.getElement(iElLeft);
int ithEdge, sign;
elLeft.getEdgeInfo (topoEdge, ithEdge, sign);
_closuresLeft.push_back(fakeClosure2d(_fsLeft, ithEdge, sign));
elRight.getEdgeInfo (topoEdge, ithEdge, sign);
_closuresRight.push_back(fakeClosure2d(_fsRight, ithEdge, sign));
const std::vector<int> &geomClosure = elRight.getFunctionSpace()->getEdgeClosure(ithEdge, sign);
std::vector<MVertex*> vertices;
for(int j=0;j<topoEdge.getNumVertices();j++)
vertices.push_back(topoEdge.getVertex(j));
for (int j=0; j<geomClosure.size() ; j++)
vertices.push_back( elRight.getVertex(geomClosure[j]) );
switch(vertices.size()){
case 2 : _faces.push_back(new MLine (vertices) ); break;
case 3 : _faces.push_back(new MLine3 (vertices) ); break;
default : _faces.push_back(new MLineN (vertices) ); break;
}
}
void dgGroupOfFaces::init(int pOrder) {
_fsFace = _faces[0]->getFunctionSpace (pOrder);
_integration=dgGetIntegrationRule (_faces[0],pOrder);
_redistribution = new fullMatrix<double> (_fsFace->coefficients.size1(),_integration->size1());
_collocation = new fullMatrix<double> (_fsFace->coefficients.size1(), _integration->size1());
_detJac = new fullMatrix<double> (_integration->size1(), _faces.size());
double f[256];
for (int j=0;j<_integration->size1();j++) {
_fsFace->f((*_integration)(j,0), (*_integration)(j,1), (*_integration)(j,2), f);
const double weight = (*_integration)(j,3);
for (int k=0;k<_fsFace->coefficients.size1();k++){
(*_redistribution)(k,j) = f[j] * weight;
(*_collocation)(k,j) = f[k];
}
}
for (int i=0;i<_faces.size();i++){
MElement *f = _faces[i];
for (int j=0;j< _integration->size1() ; j++ ){
double jac[3][3],ijac[3][3],detjac;
f->getJacobian ((*_integration)(j,0), (*_integration)(j,1), (*_integration)(j,2), jac);
const double weight = (*_integration)(j,3);
(*_detJac)(j,i) = inv3x3(jac,ijac);
}
}
computeFaceNormals();
}
dgGroupOfFaces::~dgGroupOfFaces()
{
}
dgGroupOfFaces::dgGroupOfFaces (const dgGroupOfElements &elGroup, int pOrder):
_groupLeft(elGroup),_groupRight(elGroup)
{
_fsLeft=_groupLeft.getElement(0)->getFunctionSpace(pOrder);
_fsRight=_groupRight.getElement(0)->getFunctionSpace(pOrder);
switch (_groupLeft.getElement(0)->getDim()) {
case 2 : {
std::map<MEdge,int,Less_Edge> edgeMap;
for(int i=0; i<elGroup.getNbElements(); i++){
MElement &el = *elGroup.getElement(i);
for (int j=0; j<el.getNumEdges(); j++){
MEdge edge = el.getEdge(j);
if(edgeMap.find(edge) == edgeMap.end()){
edgeMap[edge] = i;
}else{
addEdge(edge,edgeMap[edge],i);
}
}
}
break;
}
case 3 : {
std::map<MFace,int,Less_Face> faceMap;
for(int i=0; i<elGroup.getNbElements(); i++){
MElement &el = *elGroup.getElement(i);
for (int j=0; j<el.getNumFaces(); j++){
MFace face = el.getFace(j);
if(faceMap.find(face) == faceMap.end()){
faceMap[face] = i;
}else{
addFace(face,faceMap[face],i);
}
}
}
break;
}
default : throw;
}
init(pOrder);
}
void dgGroupOfFaces::mapToInterface ( int nFields,
const fullMatrix<double> &vLeft,
const fullMatrix<double> &vRight,
fullMatrix<double> &v)
{
for(int i=0; i<getNbElements(); i++) {
const std::vector<int> &closureRight = *getClosureRight(i);
const std::vector<int> &closureLeft = *getClosureLeft(i);
for (int iField=0; iField<nFields; iField++){
printf("closure size=%i\n",closureLeft.size());
for(size_t j =0; j < closureLeft.size(); j++){
v(j, i*2*nFields + iField) = vLeft(closureLeft[j], _left[i]*nFields + iField);
printf("vv=%e\n",v(j, i*2*nFields + iField));
}
for(size_t j =0; j < closureRight.size(); j++)
v(j, (i*2+1)*nFields + iField) = vRight(closureRight[j], _right[i]*nFields + iField);
}
}
v.print();
}
void dgGroupOfFaces::mapFromInterface ( int nFields,
const fullMatrix<double> &v,
fullMatrix<double> &vLeft,
fullMatrix<double> &vRight
)
{
for(int i=0; i<getNbElements(); i++) {
const std::vector<int> &closureRight = *getClosureRight(i);
const std::vector<int> &closureLeft = *getClosureLeft(i);
for (int iField=0; iField<nFields; iField++){
for(size_t j =0; j < closureLeft.size(); j++)
vLeft(closureLeft[j], _left[i]*nFields + iField) = v(j, i*2*nFields + iField);
for(size_t j =0; j < closureRight.size(); j++)
vRight(closureRight[j], _right[i]*nFields + iField) = v(j, (i*2+1)*nFields + iField);
}
}
}
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