static void BoundaryCondition
(unsigned int id_field, const ELSEG_TYPE& elseg_type,
MatVec::CBCFlag& bc_flag, const CFieldWorld& world,
unsigned int ioffset=0)
{
if( !world.IsIdField(id_field) ) return;
const Fem::Field::CField& field = world.GetField(id_field);
{ // Assert
const unsigned int len = bc_flag.LenBlk();
assert( ioffset < len );
}
const unsigned int nlen = field.GetNLenValue();
const std::vector<unsigned int>& aIdEA = field.GetAryIdEA();
for(unsigned int iea=0;iea<aIdEA.size();iea++){
unsigned int id_ea = aIdEA[iea];
const CElemAry& ea = world.GetEA(id_ea);
unsigned int noes[256];
if( elseg_type == CORNER && field.GetIdElemSeg(id_ea,CORNER,true,world) != 0 ){
const Fem::Field::CElemAry::CElemSeg& es = field.GetElemSeg(id_ea,CORNER,true,world);
unsigned int nnoes = es.Length();
for(unsigned int ielem=0;ielem<ea.Size();ielem++){
es.GetNodes(ielem,noes);
for(unsigned int inoes=0;inoes<nnoes;inoes++){
for(unsigned int ilen=0;ilen<nlen;ilen++){
bc_flag.SetBC(noes[inoes],ilen+ioffset);
}
}
}
}
if( elseg_type == BUBBLE && field.GetIdElemSeg(id_ea,BUBBLE,true,world) != 0 ){
const Fem::Field::CElemAry::CElemSeg& es = field.GetElemSeg(id_ea,BUBBLE,true,world);
unsigned int nnoes = es.Length();
for(unsigned int ielem=0;ielem<ea.Size();ielem++){
es.GetNodes(ielem,noes);
for(unsigned int inoes=0;inoes<nnoes;inoes++){
for(unsigned int ilen=0;ilen<nlen;ilen++){
bc_flag.SetBC(noes[inoes],ilen+ioffset);
}
}
}
}
if( elseg_type == EDGE && field.GetIdElemSeg(id_ea,EDGE,true,world) != 0 ){
const Fem::Field::CElemAry::CElemSeg& es = field.GetElemSeg(id_ea,EDGE,true,world);
unsigned int nnoes = es.Length();
for(unsigned int ielem=0;ielem<ea.Size();ielem++){
es.GetNodes(ielem,noes);
for(unsigned int inoes=0;inoes<nnoes;inoes++){
for(unsigned int ilen=0;ilen<nlen;ilen++){
bc_flag.SetBC(noes[inoes],ilen+ioffset);
}
}
}
}
}
}
static void BoundaryCondition
(unsigned int id_field, const ELSEG_TYPE& elseg_type, unsigned int idofns,
MatVec::CBCFlag& bc_flag, const CFieldWorld& world)
{
if( !world.IsIdField(id_field) ) return;
const Fem::Field::CField& field = world.GetField(id_field);
assert( (int)idofns < bc_flag.LenBlk() );
const std::vector<unsigned int>& aIdEA = field.GetAryIdEA();
for(unsigned int iea=0;iea<aIdEA.size();iea++){
const unsigned int id_ea = aIdEA[iea];
const CElemAry& ea = world.GetEA(id_ea);
if( elseg_type == CORNER && field.GetIdElemSeg(id_ea,CORNER,true,world) != 0 ){
SetBCFlagToES(id_field,bc_flag, ea, field.GetIdElemSeg(id_ea,CORNER,true,world), idofns);
}
if( elseg_type == BUBBLE && field.GetIdElemSeg(id_ea,BUBBLE,true,world) != 0 ){
SetBCFlagToES(id_field,bc_flag, ea, field.GetIdElemSeg(id_ea,BUBBLE,true,world), idofns);
}
if( elseg_type == EDGE && field.GetIdElemSeg(id_ea,EDGE, true,world) != 0 ){
SetBCFlagToES(id_field,bc_flag, ea, field.GetIdElemSeg(id_ea,EDGE, true,world), idofns);
}
}
}
static bool AddLinSys_AdvectionDiffusion_Static_P1P1(
double myu, double source,
CLinearSystem_Field& ls,
const unsigned int id_field_val, const unsigned int id_field_velo, const CFieldWorld& world,
unsigned int id_ea )
{
// std::cout << "Advection Diffusion Static 2D Triangle 3-point 1st order" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TRI );
if( !world.IsIdField(id_field_val) ) return false;
const CField& val_field = world.GetField(id_field_val);
if( !world.IsIdField(id_field_velo) ) return false;
const CField& field_velo = world.GetField(id_field_velo);
// 角節点の節点配列ID
unsigned int id_na_c_co = val_field.GetNodeSegInNodeAry(CORNER).id_na_co;
unsigned int id_ns_c_co = val_field.GetNodeSegInNodeAry(CORNER).id_ns_co;
unsigned int id_na_c_val = val_field.GetNodeSegInNodeAry(CORNER).id_na_va;
unsigned int id_ns_c_val = val_field.GetNodeSegInNodeAry(CORNER).id_ns_va;
unsigned int id_na_c_velo = field_velo.GetNodeSegInNodeAry(CORNER).id_na_va;
unsigned int id_ns_c_velo = field_velo.GetNodeSegInNodeAry(CORNER).id_ns_ve;
assert( id_na_c_co != 0 && id_ns_c_co != 0 );
assert( id_na_c_val != 0 && id_ns_c_val != 0 );
assert( id_na_c_velo != 0 );
assert( id_ns_c_velo != 0 );
const unsigned int nno = 3;
const unsigned int ndim = 2;
const CElemAry::CElemSeg& es_c_val = field_velo.GetElemSeg(id_ea,CORNER,true,world);
unsigned int no_c[nno]; // 要素節点の全体節点番号
double value_c[nno]; // 要素節点の値
double coord_c[nno][ndim]; // 要素節点の座標
double velo_c[nno][ndim];
double emat[nno][nno]; // 要素剛性行列
double eres_c[nno]; // 要素節点等価内力、外力、残差ベクトル
CMatDia_BlkCrs& mat_cc = ls.GetMatrix( id_field_val,CORNER,world);
CVector_Blk& res_c = ls.GetResidual(id_field_val,CORNER,world);
const CNodeAry& na_c_val = world.GetNA(id_na_c_val);
const CNodeAry::CNodeSeg& ns_c_val = na_c_val.GetSeg(id_ns_c_val);
const CNodeAry& na_c_velo = world.GetNA(id_na_c_velo);
const CNodeAry::CNodeSeg& ns_c_velo = na_c_velo.GetSeg(id_ns_c_velo);
const CNodeAry& na_c_co = world.GetNA(id_na_c_co);
const CNodeAry::CNodeSeg& ns_c_co = na_c_co.GetSeg(id_ns_c_co);
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
// 要素配列から要素セグメントの節点番号を取り出す
es_c_val.GetNodes(ielem,no_c);
// 節点の値を取って来る
for(unsigned int inoes=0;inoes<nno;inoes++){
ns_c_co.GetValue(no_c[inoes],coord_c[inoes]);
ns_c_val.GetValue(no_c[inoes],&value_c[inoes]);
ns_c_velo.GetValue(no_c[inoes],velo_c[inoes]);
}
////////////////////////////////////////////////////////////////
// 面積を求める
const double area = TriArea(coord_c[0],coord_c[1],coord_c[2]);
// 形状関数の微分を求める
double dldx[nno][ndim]; // 形状関数のxy微分
double const_term[nno]; // 形状関数の定数項
TriDlDx(dldx,const_term,coord_c[0],coord_c[1],coord_c[2]);
// 要素剛性行列を作る
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
emat[ino][jno] = myu*area*(dldx[ino][0]*dldx[jno][0]+dldx[ino][1]*dldx[jno][1]);
}
}
{
const double dtmp1 = area*0.08333333333333333333333;
for(unsigned int ino=0;ino<nno;ino++){
const double dtmp_0 = dtmp1*(velo_c[0][0]+velo_c[1][0]+velo_c[2][0]+velo_c[ino][0]);
const double dtmp_1 = dtmp1*(velo_c[0][1]+velo_c[1][1]+velo_c[2][1]+velo_c[ino][1]);
for(unsigned int jno=0;jno<nno;jno++){
emat[ino][jno] += dldx[jno][0]*dtmp_0+dldx[jno][1]*dtmp_1;
}
}
}
// Calc Stabilization Parameter
double tau;
{
const double velo_ave[2] = {
(velo_c[0][0]+velo_c[1][0]+velo_c[2][0])/3.0,
(velo_c[0][1]+velo_c[1][1]+velo_c[2][1])/3.0 };
const double norm_v = sqrt(velo_ave[0]*velo_ave[0]+velo_ave[1]*velo_ave[1]);
const double velo_dir[2] = { velo_ave[0]/norm_v, velo_ave[1]/norm_v };
// calc element length along the direction of velocity
double h;
{
double dtmp1 = 0;
for(unsigned int inode=0;inode<nno;inode++){
dtmp1 += fabs(velo_dir[0]*dldx[inode][0]+velo_dir[1]*dldx[inode][1]);
}
h = 2.0/dtmp1;
}
// calc stabilization parameter
if( myu > 1.0e-20 ){
const double re_c = 0.5*norm_v*h/myu; // 0.5*norm_v*h*rho/myu;
if( re_c < 3.0 ){ tau = h * 0.5 / norm_v * re_c / 3.0; }
else{ tau = h * 0.5 / norm_v; }
}
else{ tau = h * 0.5 / norm_v; }
}
{
double tmp_mat[ndim][ndim];
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
double dtmp1 = 0.0;
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
dtmp1 += velo_c[ino][idim]*velo_c[jno][jdim];
}
dtmp1 += velo_c[ino][idim]*velo_c[ino][jdim];
}
tmp_mat[idim][jdim] = area*tau*dtmp1/12.0;
}
}
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
double dtmp1 = 0.0;
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
dtmp1 += dldx[ino][idim]*dldx[jno][jdim]*tmp_mat[idim][jdim];
}
}
emat[ino][jno] += dtmp1;
}
}
}
// 要素節点等価外力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
eres_c[ino] = source*area*0.3333333333333333333;
}
////////////////////////////////////////////////////////////////
// 要素節点等価内力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
eres_c[ino] -= emat[ino][jno]*value_c[jno];
}
}
// 要素剛性行列にマージする
mat_cc.Mearge(nno,no_c,nno,no_c,1,&emat[0][0]);
// 残差ベクトルにマージする
for(unsigned int ino=0;ino<nno;ino++){
res_c.AddValue( no_c[ino],0,eres_c[ino]);
}
}
return true;
}
static bool AddLinearSystem_Diffusion_P1b(
double rho, double alpha, double source,
double gamma, double dt,
CLinearSystem_Field& ls,
unsigned int id_field_val, const CFieldWorld& world,
unsigned int id_ea )
{
// std::cout << "Diffusion2D Tri P1b" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TRI );
if( !world.IsIdField(id_field_val) ) return false;
const CField& field_val = world.GetField(id_field_val);
const CElemAry::CElemSeg& es_c = field_val.GetElemSeg(id_ea,CORNER,true,world);
const CElemAry::CElemSeg& es_b = field_val.GetElemSeg(id_ea,BUBBLE,true,world);
const unsigned int nno_c = 3;
const unsigned int nno_b = 1;
const unsigned int ndim = 2;
unsigned int no_c[nno_c];
unsigned int no_b;
double val_c[nno_c], val_b;
double vval_c[nno_c], vval_b;
double coord_c[nno_c][ndim];
double dldx[nno_c][ndim];
double const_term[nno_c];
double eCmat_cc[nno_c][nno_c], eCmat_cb[nno_c], eCmat_bc[nno_c], eCmat_bb;
double eMmat_cc[nno_c][nno_c], eMmat_cb[nno_c], eMmat_bc[nno_c], eMmat_bb;
double eqf_out_c[nno_c], eqf_out_b;
double eqf_in_c[nno_c], eqf_in_b;
double emat_cc[nno_c][nno_c], emat_cb[nno_c], emat_bc[nno_c], emat_bb;
double eres_c[nno_c], eres_b; // 要素節点等価内力、外力、残差ベクトル
CMatDia_BlkCrs& mat_cc = ls.GetMatrix(id_field_val,CORNER, world);
CMatDia_BlkCrs& mat_bb = ls.GetMatrix(id_field_val,BUBBLE, world);
CMat_BlkCrs& mat_cb = ls.GetMatrix(id_field_val,CORNER, id_field_val, BUBBLE, world);
CMat_BlkCrs& mat_bc = ls.GetMatrix(id_field_val,BUBBLE, id_field_val, CORNER, world);
////////////////
CVector_Blk& res_c = ls.GetResidual(id_field_val,CORNER, world);
CVector_Blk& res_b = ls.GetResidual(id_field_val,BUBBLE, world);
const CNodeAry::CNodeSeg& ns_c_val = field_val.GetNodeSeg(CORNER,true,world,VALUE);//na_c_val.GetSeg(id_ns_c_val);
const CNodeAry::CNodeSeg& ns_c_vval = field_val.GetNodeSeg(CORNER,true,world,VELOCITY);//na_c_val.GetSeg(id_ns_c_vval);
const CNodeAry::CNodeSeg& ns_b_val = field_val.GetNodeSeg(BUBBLE,true,world,VALUE);//na_b_val.GetSeg(id_ns_b_val);
const CNodeAry::CNodeSeg& ns_b_vval = field_val.GetNodeSeg(BUBBLE,true,world,VELOCITY);//na_b_val.GetSeg(id_ns_b_vval);
const CNodeAry::CNodeSeg& ns_c_co = field_val.GetNodeSeg(CORNER,false,world,VALUE);//na_c_val.GetSeg(id_ns_c_co);
for(unsigned int ielem=0;ielem<ea.Size();ielem++){
// 要素配列から節点セグメントの節点番号を取り出す
es_c.GetNodes(ielem,no_c);
es_b.GetNodes(ielem,&no_b);
// 節点の値を取ってくる
for(unsigned int inoes=0;inoes<nno_c;inoes++){
ns_c_co.GetValue(no_c[inoes],coord_c[inoes]);
ns_c_val.GetValue(no_c[inoes],&val_c[inoes]);
ns_c_vval.GetValue(no_c[inoes],&vval_c[inoes]);
}
ns_b_val.GetValue(no_b,&val_b);
ns_b_vval.GetValue(no_b,&vval_b);
// 面積を求める
const double area = TriArea(coord_c[0],coord_c[1],coord_c[2]);
// 形状関数の微分を求める
TriDlDx(dldx,const_term,coord_c[0],coord_c[1],coord_c[2]);
{ // 要素剛性行列を作る
double vc_b[4];
vc_b[0] = 1.0/3.0; vc_b[1] = 1.0/3.0; vc_b[2] = 1.0/3.0; vc_b[3] = 27.0;
const double tmp_val1 = vc_b[3]*vc_b[3]*alpha*area/180.0*(
dldx[0][0]*dldx[0][0]+dldx[0][1]*dldx[0][1]+
dldx[1][0]*dldx[1][0]+dldx[1][1]*dldx[1][1]+
dldx[2][0]*dldx[2][0]+dldx[2][1]*dldx[2][1] );
for(unsigned int ino_c=0;ino_c<nno_c;ino_c++){
for(unsigned int jno_c=0;jno_c<nno_c;jno_c++){
eCmat_cc[ino_c][jno_c]
= alpha*area*(dldx[ino_c][0]*dldx[jno_c][0]+dldx[ino_c][1]*dldx[jno_c][1])
+vc_b[ino_c]*vc_b[jno_c]*tmp_val1;
}
}
for(unsigned int ino_c=0;ino_c<nno_c;ino_c++){
const double tmp1 = -1.0*vc_b[ino_c]*tmp_val1;
eCmat_cb[ino_c] = tmp1;
eCmat_bc[ino_c] = tmp1;
}
eCmat_bb = tmp_val1;
Set_RhoTri_CB_Scalar(eMmat_cc,eMmat_cb,eMmat_bc,eMmat_bb, area, dldx,vc_b, rho);
}
// 要素外力ベクトルを求める
for(unsigned int ino_c=0;ino_c<nno_c;ino_c++){
eqf_out_c[ino_c] = source*area*11.0/60.0;
}
eqf_out_b = source*area*27.0/60.0;
////////////////////////////////////////////////////////////////
// 要素内力ベクトルを求める
for(unsigned int ino_c=0;ino_c<nno_c;ino_c++){
eqf_in_c[ino_c] = 0.0;
for(unsigned int jno_c=0;jno_c<nno_c;jno_c++){
eqf_in_c[ino_c] += eCmat_cc[ino_c][jno_c]*(val_c[jno_c]+dt*vval_c[jno_c])
+ eMmat_cc[ino_c][jno_c]*vval_c[jno_c];
}
eqf_in_c[ino_c] += eCmat_cb[ino_c]*(val_b+dt*vval_b) + eMmat_cb[ino_c]*vval_b;
}
eqf_in_b = 0.0;
for(unsigned int jno_c=0;jno_c<nno_c;jno_c++){
eqf_in_b += eCmat_bc[jno_c]*(val_c[jno_c]+dt*vval_c[jno_c]) + eMmat_bc[jno_c]*vval_c[jno_c];
}
eqf_in_b += eCmat_bb*(val_b+dt*vval_b) + eMmat_bb*vval_b;
{ // 要素係数行列を求める
double dtmp1 = gamma*dt;
for(unsigned int i=0;i<nno_c;i++){
for(unsigned int j=0;j<nno_c;j++){
emat_cc[i][j] = eMmat_cc[i][j]+dtmp1*eCmat_cc[i][j];
}
emat_cb[i] = eMmat_cb[i]+dtmp1*eCmat_cb[i];
emat_bc[i] = eMmat_bc[i]+dtmp1*eCmat_bc[i];
}
emat_bb = eMmat_bb+dtmp1*eCmat_bb;
}
////////////////////////////////////////////////////////////////
// 要素残差ベクトルを求める
for(unsigned int ino_c=0;ino_c<nno_c;ino_c++){
eres_c[ino_c] = eqf_out_c[ino_c] - eqf_in_c[ino_c];
}
eres_b = eqf_out_b - eqf_in_b;
// 要素剛性行列のマージ
mat_cc.Mearge(nno_c,no_c,nno_c,no_c, 1,&emat_cc[0][0]);
mat_cb.Mearge(nno_c,no_c,nno_b,&no_b, 1,&emat_cb[0] );
mat_bc.Mearge(nno_b,&no_b,nno_c,no_c, 1,&emat_bc[0] );
mat_bb.Mearge(nno_b,&no_b,nno_b,&no_b, 1,&emat_bb );
// 要素残差ベクトルのマージ
for(unsigned int inoes=0;inoes<nno_c;inoes++){
res_c.AddValue( no_c[inoes],0,eres_c[inoes]);
}
res_b.AddValue( no_b,0,eres_b );
}
return true;
}
static bool AddLinearSystem_Diffusion3D_P1(
double rho, double alpha, double source,
CLinearSystem_SaveDiaM_Newmark& ls,
unsigned int id_field_val, const CFieldWorld& world,
unsigned int id_ea )
{
// std::cout << "Diffusion3D Tet savemat" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TET );
if( !world.IsIdField(id_field_val) ) return false;
const CField& field_val = world.GetField(id_field_val);
const double gamma = ls.GetGamma();
const double dt = ls.GetDt();
const CElemAry::CElemSeg& es_c = field_val.GetElemSeg(id_ea,CORNER,true,world);
const unsigned int nno = 4;
const unsigned int ndim = 3;
unsigned int no_c[nno]; // 要素節点の全体節点番号
double val_c[nno]; // 要素節点の値
double vval_c[nno]; // 要素節点の値
double coord_c[nno][ndim]; // 要素節点の座標
double emat[nno][nno];
double eCmat[nno][nno]; // 要素剛性行列
double eMmat[nno][nno]; // 要素剛性行列
double eqf_out_c[nno]; // 要素節点等価内力、外力、残差ベクトル
CMatDia_BlkCrs& mat_cc = ls.GetMatrix(id_field_val,CORNER,world);
CVector_Blk& force_c = ls.GetForce( id_field_val,CORNER,world);
CMat_BlkCrs& mat_cc_bound = ls.GetMatrix_Boundary(id_field_val,CORNER, id_field_val,CORNER, world);
CDiaMat_Blk& mat_mass = ls.GetDiaMassMatrix( id_field_val,CORNER,world);
const CNodeAry::CNodeSeg& ns_c_val = field_val.GetNodeSeg(CORNER,true,world,VALUE);
const CNodeAry::CNodeSeg& ns_c_vval = field_val.GetNodeSeg(CORNER,true,world,VELOCITY);
const CNodeAry::CNodeSeg& ns_c_co = field_val.GetNodeSeg(CORNER,false,world,VALUE);
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
// 要素配列から要素セグメントの節点番号を取り出す
es_c.GetNodes(ielem,no_c);
// 節点の値を取って来る
for(unsigned int ino=0;ino<nno;ino++){
ns_c_co.GetValue(no_c[ino],coord_c[ino]);
ns_c_val.GetValue(no_c[ino],&val_c[ino]);
ns_c_vval.GetValue(no_c[ino],&vval_c[ino]);
}
////////////////////////////////////////////////////////////////
// 面積を求める
const double vol = TetVolume(coord_c[0],coord_c[1],coord_c[2],coord_c[3]);
// 形状関数の微分を求める
double dldx[nno][ndim]; // 形状関数のxy微分
double const_term[nno]; // 形状関数の定数項
TetDlDx(dldx,const_term,coord_c[0],coord_c[1],coord_c[2],coord_c[3]);
// 要素剛性行列を作る
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
eCmat[ino][jno] = alpha*vol*( dldx[ino][0]*dldx[jno][0]+dldx[ino][1]*dldx[jno][1]+dldx[ino][2]*dldx[jno][2]);
}
}
{
const double dtmp1 = rho*vol*0.05;
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
eMmat[ino][jno] = dtmp1;
}
eMmat[ino][ino] += dtmp1;
}
}
// 要素節点等価外力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
eqf_out_c[ino] = source*vol*0.25;
}
////////////////////////////////////////////////////////////////
{ // 要素係数行列を求める
double dtmp1 = gamma*dt;
for(unsigned int i=0;i<nno*nno;i++){
(&emat[0][0])[i] = (&eMmat[0][0])[i]+dtmp1*(&eCmat[0][0])[i];
}
}
// 剛性行列にマージする
mat_cc .Mearge(nno,no_c,nno,no_c, 1, &emat[0][0]);
mat_cc_bound.Mearge(nno,no_c,nno,no_c, 1,&eCmat[0][0]);
for(unsigned int ino=0;ino<nno;ino++){
mat_mass.Mearge( no_c[ino], 1, &eMmat[0][0] );
}
// 残差ベクトルにマージする
for(unsigned int ino=0;ino<nno;ino++){
force_c.AddValue( no_c[ino],0,eqf_out_c[ino]);
}
}
return true;
}
static bool AddLinearSystem_Diffusion2D_P1(
double rho, double alpha, double source,
CLinearSystem_SaveDiaM_Newmark& ls,
unsigned int id_field_val, const CFieldWorld& world,
const unsigned int id_ea)
{
// std::cout << "Diffusion2D Tri P1 savemat " << gamma << " " << dt << std::endl;
const double gamma = ls.GetGamma();
const double dt = ls.GetDt();
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TRI );
if( !world.IsIdField(id_field_val) ) return false;
const CField& field_val = world.GetField(id_field_val);
const CElemAry::CElemSeg& es_c_val = field_val.GetElemSeg(id_ea,CORNER,true, world);
const CElemAry::CElemSeg& es_c_co = field_val.GetElemSeg(id_ea,CORNER,false,world);
const unsigned int nno = 3;
const unsigned int ndim = 2;
unsigned int no_c[nno]; // 要素節点の全体節点番号
double coord_c[nno][ndim]; // 要素節点の座標
double emat[nno][nno];
double eCmat[nno][nno]; // 要素剛性行列
double eMmat[nno]; // 要素剛性行列
double eqf_out_c[nno]; // 要素節点等価内力、外力、残差ベクトル
CMatDia_BlkCrs& mat_cc = ls.GetMatrix(id_field_val,CORNER,world);
CVector_Blk& force_c = ls.GetForce( id_field_val,CORNER,world);
CMat_BlkCrs& mat_cc_bound = ls.GetMatrix_Boundary(id_field_val,CORNER, id_field_val,CORNER, world);
const CNodeAry::CNodeSeg& ns_c_co = field_val.GetNodeSeg(CORNER,false,world,VALUE);
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
// 要素配列から要素セグメントの節点番号を取り出す
es_c_co.GetNodes(ielem,no_c);
for(unsigned int ino=0;ino<nno;ino++){
ns_c_co.GetValue(no_c[ino],coord_c[ino]);
}
es_c_val.GetNodes(ielem,no_c);
////////////////////////////////////////////////////////////////
// 面積を求める
const double area = TriArea(coord_c[0],coord_c[1],coord_c[2]);
// 形状関数の微分を求める
double dldx[nno][ndim]; // 形状関数のxy微分
double const_term[nno]; // 形状関数の定数項
TriDlDx(dldx,const_term,coord_c[0],coord_c[1],coord_c[2]);
// 要素剛性行列を作る
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
eCmat[ino][jno] = alpha*area*(dldx[ino][0]*dldx[jno][0]+dldx[ino][1]*dldx[jno][1]);
}
}
{
const double dtmp1 = rho*area/3.0;
for(unsigned int ino=0;ino<nno;ino++){
eMmat[ino] = dtmp1;
}
}
// 要素節点等価外力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
eqf_out_c[ino] = source*area*0.33333333333333;
}
////////////////////////////////////////////////////////////////
{ // 要素係数行列を求める
const double dtmp1 = gamma*dt;
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
emat[ino][jno] = dtmp1*eCmat[ino][jno];
}
emat[ino][ino] += eMmat[ino];
}
}
// 剛性行列にマージする
mat_cc .Mearge(nno,no_c,nno,no_c, 1, &emat[0][0]);
mat_cc_bound.Mearge(nno,no_c,nno,no_c, 1,&eCmat[0][0]);
// 残差ベクトルにマージする
for(unsigned int ino=0;ino<nno;ino++){
force_c.AddValue( no_c[ino],0,eqf_out_c[ino]);
}
}
return true;
}
static bool AddLinearSystem_Diffusion2D_AxSym_P1(
double rho, double alpha, double source,
double gamma, double dt,
CLinearSystem_Field& ls,
unsigned int id_field_val, const CFieldWorld& world,
const unsigned int id_ea)
{
// std::cout << "Diffusion2D Axial Symmetry Tri P1" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TRI );
if( !world.IsIdField(id_field_val) ) return false;
const CField& field_val = world.GetField(id_field_val);
const CElemAry::CElemSeg& es_c_va = field_val.GetElemSeg(id_ea,CORNER,true, world);
const CElemAry::CElemSeg& es_c_co = field_val.GetElemSeg(id_ea,CORNER,false,world);
const unsigned int nno = 3;
const unsigned int ndim = 2;
CMatDia_BlkCrs& mat_cc = ls.GetMatrix( id_field_val,CORNER,world);
CVector_Blk& res_c = ls.GetResidual(id_field_val,CORNER,world);
const CNodeAry::CNodeSeg& ns_c_val = field_val.GetNodeSeg(CORNER,true,world,VALUE);
const CNodeAry::CNodeSeg& ns_c_vval = field_val.GetNodeSeg(CORNER,true,world,VELOCITY);
const CNodeAry::CNodeSeg& ns_c_co = field_val.GetNodeSeg(CORNER,false,world,VALUE);
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
// 要素配列から要素セグメントの節点番号を取り出す
unsigned int no[nno]; // 要素節点の全体節点番号
es_c_co.GetNodes(ielem,no);
// 座標を取り出す
double coord[nno][ndim]; // 要素節点の座標
for(unsigned int ino=0;ino<nno;ino++){
ns_c_co.GetValue(no[ino],coord[ino]);
}
es_c_va.GetNodes(ielem,no);
// 節点の値を取って来る
double val_c[nno]; // 要素節点の値
double vval_c[nno]; // 要素節点の値
for(unsigned int inoes=0;inoes<nno;inoes++){
ns_c_val.GetValue(no[inoes],&val_c[inoes]);
ns_c_vval.GetValue(no[inoes],&vval_c[inoes]);
}
const double rad[3] = {
fabs( coord[0][0] ),
fabs( coord[1][0] ),
fabs( coord[2][0] )
};
const double ave_rad = (rad[0]+rad[1]+rad[2])*0.33333333333333333333;
////////////////////////////////////////////////////////////////
// 面積を求める
const double area = TriArea(coord[0],coord[1],coord[2]);
// 形状関数の微分を求める
double dldx[nno][ndim]; // 形状関数のxy微分
double const_term[nno]; // 形状関数の定数項
TriDlDx(dldx,const_term,coord[0],coord[1],coord[2]);
// 要素剛性行列を作る
double eCmat[nno][nno]; // 要素剛性行列
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
eCmat[ino][jno] = alpha*area*ave_rad*(dldx[ino][0]*dldx[jno][0]+dldx[ino][1]*dldx[jno][1]);
}
}
double eMmat[nno][nno]; // 要素剛性行列
{
const double dtmp1 = rho*area/60.0;
eMmat[0][0] = dtmp1*(6*rad[0] + 2*rad[1] + 2*rad[2]);
eMmat[1][1] = dtmp1*(2*rad[0] + 6*rad[1] + 2*rad[2]);
eMmat[2][2] = dtmp1*(2*rad[0] + 2*rad[1] + 6*rad[2]);
eMmat[0][1] = dtmp1*(2*rad[0] + 2*rad[1] + 1*rad[2]);
eMmat[1][0] = eMmat[0][1];
eMmat[0][2] = dtmp1*(2*rad[0] + 1*rad[1] + 2*rad[2]);
eMmat[2][0] = eMmat[0][2];
eMmat[1][2] = dtmp1*(1*rad[0] + 2*rad[1] + 2*rad[2]);
eMmat[2][1] = eMmat[1][2];
}
double eres_c[nno]; // 残差ベクトル
// 要素節点等価外力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
eres_c[ino] = source*area*0.333333333333333333;
}
////////////////////////////////////////////////////////////////
double emat[nno][nno];
{ // 要素係数行列を求める
double dtmp1 = gamma*dt;
for(unsigned int i=0;i<nno*nno;i++){
(&emat[0][0])[i] = (&eMmat[0][0])[i]+dtmp1*(&eCmat[0][0])[i];
}
}
// 要素節点等価内力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
eres_c[ino] -= eCmat[ino][jno]*(val_c[jno]+dt*vval_c[jno])
+ eMmat[ino][jno]*vval_c[jno];
}
}
// 要素剛性行列にマージする
mat_cc.Mearge(nno,no,nno,no,1,&emat[0][0]);
// 残差ベクトルにマージする
for(unsigned int ino=0;ino<nno;ino++){
res_c.AddValue( no[ino],0,eres_c[ino]);
}
}
return true;
}
static bool AddLinearSystem_Poisson3D_Q1(
double alpha, double source,
Fem::Ls::CLinearSystem_Field& ls,
const unsigned int id_field_val, const CFieldWorld& world,
const unsigned int id_ea)
{
// std::cout << "Poisson3D Hex" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == HEX );
if( !world.IsIdField(id_field_val) ) return false;
const CField& field_val = world.GetField(id_field_val);
const CElemAry::CElemSeg& es_c_co = field_val.GetElemSeg(id_ea,CORNER,false,world);
const CElemAry::CElemSeg& es_c_va = field_val.GetElemSeg(id_ea,CORNER,true, world);
unsigned int num_integral = 1;
const unsigned int nInt = NIntLineGauss[num_integral];
const double (*Gauss)[2] = LineGauss[num_integral];
const unsigned int nno = 8;
const unsigned int ndim = 3;
unsigned int no_c_co[nno]; // 要素節点の全体節点番号
unsigned int no_c_va[nno]; // 要素節点の全体節点番号
double value_c[nno]; // 要素節点の値
double coord_c[nno][ndim]; // 要素節点の座標
double dndx[nno][ndim]; // 形状関数のxy微分
double an_c[nno];
double emat[nno][nno]; // 要素剛性行列
double eres_c[nno]; // 要素節点等価内力、外力、残差ベクトル
CMatDia_BlkCrs& mat_cc = ls.GetMatrix( id_field_val,CORNER,world);
CVector_Blk& res_c = ls.GetResidual(id_field_val,CORNER,world);
const CNodeAry::CNodeSeg& ns_c_val = field_val.GetNodeSeg(CORNER,true, world);
const CNodeAry::CNodeSeg& ns_c_co = field_val.GetNodeSeg(CORNER,false,world);
for(unsigned int ielem=0;ielem<ea.Size();ielem++){
// 要素配列から要素セグメントの節点番号を取り出す
es_c_co.GetNodes(ielem,no_c_co);
for(unsigned int ino=0;ino<nno;ino++){
ns_c_co.GetValue(no_c_co[ino],coord_c[ino]);
}
es_c_va.GetNodes(ielem,no_c_va);
for(unsigned int ino=0;ino<nno;ino++){
ns_c_val.GetValue(no_c_va[ino],&value_c[ino]);
}
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
emat[ino][jno] = 0.0;
}
}
for(unsigned int ino=0;ino<nno;ino++){
eres_c[ino] = 0.0;
}
double vol = 0.0;
for(unsigned int ir1=0;ir1<nInt;ir1++){
for(unsigned int ir2=0;ir2<nInt;ir2++){
for(unsigned int ir3=0;ir3<nInt;ir3++){
const double r1 = Gauss[ir1][0];
const double r2 = Gauss[ir2][0];
const double r3 = Gauss[ir3][0];
double detjac;
ShapeFunc_Hex8(r1,r2,r3,coord_c,detjac,dndx,an_c);
const double detwei = detjac*Gauss[ir1][1]*Gauss[ir2][1]*Gauss[ir3][1];
vol += detwei;
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
emat[ino][jno] += alpha*detwei*(dndx[ino][0]*dndx[jno][0]+dndx[ino][1]*dndx[jno][1]+dndx[ino][2]*dndx[jno][2]);
}
}
// 要素節点等価外力ベクトルを積n分毎に足し合わせる
for(unsigned int ino=0;ino<nno;ino++){
eres_c[ino] += detwei*source*an_c[ino];
}
}
}
}
// 要素節点等価内力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
eres_c[ino] -= emat[ino][jno]*value_c[jno];
}
}
// 要素剛性行列にマージする
mat_cc.Mearge(nno,no_c_va,nno,no_c_va,1,&emat[0][0]);
// 残差ベクトルにマージする
for(unsigned int ino=0;ino<nno;ino++){
res_c.AddValue( no_c_va[ino],0,eres_c[ino]);
}
}
return true;
}
bool AddLinSys_StVenant2D_NonStatic_BackwardEular_P1
(double dt,
Fem::Eqn::ILinearSystem_Eqn& ls,
double lambda, double myu,
double rho, double g_x, double g_y,
const unsigned int id_field_disp, const CFieldWorld& world,
const MatVec::CVector_Blk& velo_pre,
bool is_initial,
const unsigned int id_ea )
{
// std::cout << "St.Venant2D Triangle 3-point 1st order" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TRI );
const CField& field_disp = world.GetField(id_field_disp);
const CElemAry::CElemSeg& es_co = field_disp.GetElemSeg(id_ea,CORNER,false,world);
const CElemAry::CElemSeg& es_va = field_disp.GetElemSeg(id_ea,CORNER,true,world);
const unsigned int nno = 3;
const unsigned int ndim = 2;
unsigned int no[nno]; // elment node nuber 2 grobal node number
double eKmat[nno][nno][ndim][ndim]; // element stiffness matrix
double eMmat[nno][nno][ndim][ndim]; // element mass matrix
double eforce_in[nno][ndim]; // element residual vector
double eforce_ex[nno][ndim]; // element external force vector
CMatDia_BlkCrs& mat_cc = ls.GetMatrix(id_field_disp,CORNER,world); // matrix
CVector_Blk& res_c = ls.GetResidual(id_field_disp,CORNER,world);// residual vector
const CNodeAry::CNodeSeg& ns_c_val = field_disp.GetNodeSeg(CORNER,true,world,VALUE);
const CNodeAry::CNodeSeg& ns_c_velo = field_disp.GetNodeSeg(CORNER,true,world,VELOCITY);
const CNodeAry::CNodeSeg& ns_c_co = field_disp.GetNodeSeg(CORNER,false,world);
assert( ns_c_val.Length() == ndim );
assert( ns_c_co.Length() == ndim );
double g[2] = { g_x, g_y };
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
es_co.GetNodes(ielem,no); // get global node number of coordinate
double ecoords[nno][ndim]; // element node coordinate
for(unsigned int ino=0;ino<nno;ino++){
ns_c_co.GetValue( no[ino], ecoords[ino]);
}
es_va.GetNodes(ielem,no); // get global node nubmer of value
double edisp[nno][ndim]; // displacement
double evelo[nno][ndim]; // velocity
for(unsigned int ino=0;ino<nno;ino++){
ns_c_val.GetValue( no[ino], edisp[ino]);
ns_c_velo.GetValue(no[ino], evelo[ino]);
}
////////////////////////////////
// set 0 to elemnet stiffness matrix, element residual
for(unsigned int i=0;i<nno*nno*ndim*ndim;i++){ *(&eKmat[0][0][0][0]+i) = 0.0; }
for(unsigned int i=0;i<nno*nno*ndim*ndim;i++){ *(&eMmat[0][0][0][0]+i) = 0.0; }
for(unsigned int i=0;i< nno*ndim;i++){ *(&eforce_ex[0][0] +i) = 0.0; }
for(unsigned int i=0;i< nno*ndim;i++){ *(&eforce_in[0][0] +i) = 0.0; }
const double area = TriArea(ecoords[0],ecoords[1],ecoords[2]);
double dldx[nno][ndim]; // spacial derivative of shape function
double zero_order_term[nno]; // constant term of shape function
TriDlDx(dldx, zero_order_term, ecoords[0], ecoords[1], ecoords[2]);
{ // calc stiffness matrix
double dudx[ndim][ndim] = { { 0.0, 0.0}, {0.0, 0.0} };
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
dudx[idim][jdim] += edisp[ino][idim]*dldx[ino][jdim];
}
}
}
AddElemMatFin_StVenant2D( area, myu,lambda, nno,dudx,dldx, eKmat[0],eforce_in );
}
{ // calc mass matrix
const double tmp1 = rho*area/12.0;
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
for(unsigned int idim=0;idim<ndim;idim++){
eMmat[ino][jno][idim][idim] += tmp1;
}
}
for(unsigned int idim=0;idim<ndim;idim++){
eMmat[ino][ino][idim][idim] += tmp1;
}
}
}
// call external force
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
eforce_ex[ino][idim] += area*rho*g[idim]*0.33333333333333333333;
}
}
////////////////////////////////
double emat[nno][nno][ndim][ndim]; // element coeff matrix
double eres[nno][ndim]; // element residual vector
for(unsigned int i=0;i<nno*nno*ndim*ndim;i++){
(&emat[0][0][0][0])[i] = (&eMmat[0][0][0][0])[i] + dt*dt*(&eKmat[0][0][0][0])[i];
}
// get element residual vector
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
eres[ino][idim] = (eforce_ex[ino][idim] - eforce_in[ino][idim])*dt;
}
}
if( is_initial ){
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jno=0;jno<nno;jno++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
eres[ino][idim] -= eKmat[ino][jno][idim][jdim]*evelo[jno][jdim]*dt*dt;
}
}
}
}
}
else{
double velo0[nno][ndim];
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
velo0[ino][idim] = velo_pre.GetValue(no[ino],idim);
}
}
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jno=0;jno<nno;jno++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
eres[ino][idim] -= eMmat[ino][jno][idim][jdim]*(evelo[jno][jdim]-velo0[jno][jdim]);
}
}
}
}
}
////////////////////////////////
mat_cc.Mearge(nno,no, nno,no, ndim*ndim,&emat[0][0][0][0] ); // marge element stiffness
for(unsigned int ino=0;ino<nno;ino++){ // marge element residual
for(unsigned int idim=0;idim<ndim;idim++){
res_c.AddValue(no[ino],idim,eres[ino][idim]);
}
}
}
return true;
}
bool AddLinSys_StVenant2D_Static_P1(
Fem::Eqn::ILinearSystem_Eqn& ls,
double lambda, double myu,
double rho, double g_x, double g_y,
const unsigned int id_field_disp, const CFieldWorld& world,
const unsigned int id_ea)
{
// std::cout << "St.Venant2D Static Tri3point" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TRI );
const CField& field_disp = world.GetField(id_field_disp);
const CElemAry::CElemSeg& es_co = field_disp.GetElemSeg(id_ea,CORNER,false,world);
const CElemAry::CElemSeg& es_va = field_disp.GetElemSeg(id_ea,CORNER,true, world);
const unsigned int nnoes = 3;
const unsigned int ndim = 2;
unsigned int noes[nnoes]; // 要素内の節点の節点番号
double emat[nnoes][nnoes][ndim][ndim]; // 要素剛性行列
double eforce_ex[nnoes][ndim]; // 要素内外力ベクトル
double eforce_in[nnoes][ndim]; // 要素内内力ベクトル
double eres[nnoes][ndim]; // 要素内残差ベクトル
double ecoords[nnoes][ndim]; // 要素節点座標
double edisp[ nnoes][ndim]; // 要素節点変位
double dldx[nnoes][ndim]; // 形状関数の空間微分
double zero_order_term[nnoes]; // 形状関数の定数項
CMatDia_BlkCrs& mat_cc = ls.GetMatrix( id_field_disp,CORNER,world); // 要素剛性行列(コーナ-コーナー)
CVector_Blk& res_c = ls.GetResidual(id_field_disp,CORNER,world); // 要素残差ベクトル(コーナー)
const CNodeAry::CNodeSeg& ns_c_val = field_disp.GetNodeSeg(CORNER,true,world,VALUE);
const CNodeAry::CNodeSeg& ns_c_co = field_disp.GetNodeSeg(CORNER,false,world);
/*
unsigned int num_integral = 0;
const unsigned int nInt = NIntTriGauss[num_integral];
const double (*Gauss)[3] = TriGauss[num_integral];
*/
double g[2] = { g_x, g_y };
for(unsigned int ielem=0;ielem<ea.Size();ielem++){
// 要素の節点番号を取ってくる
es_co.GetNodes(ielem,noes);
// 節点の座標、値を取ってくる
for(unsigned int ino=0;ino<nnoes;ino++){
ns_c_co.GetValue(noes[ino],ecoords[ino]);
}
// 要素の節点番号を取ってくる
es_va.GetNodes(ielem,noes);
// 節点の座標、値を取ってくる
for(unsigned int ino=0;ino<nnoes;ino++){
ns_c_val.GetValue(noes[ino],edisp[ino]);
}
////////////////////////////////
// 要素剛性行列、残差を０で初期化
for(unsigned int i=0;i<nnoes*nnoes*ndim*ndim;i++){ *(&emat[0][0][0][0]+i) = 0.0; }
for(unsigned int i=0;i< nnoes*ndim;i++){ *(&eforce_ex[0][0] +i) = 0.0; }
for(unsigned int i=0;i< nnoes*ndim;i++){ *(&eforce_in[0][0] +i) = 0.0; }
// 面積を求める
const double area = TriArea(ecoords[0],ecoords[1],ecoords[2]);
// 形状関数のｘｙ微分を求める
TriDlDx(dldx, zero_order_term, ecoords[0], ecoords[1], ecoords[2]);
double dudx[ndim][ndim] = { { 0.0, 0.0}, {0.0, 0.0} };
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
dudx[idim][jdim] += edisp[ino][idim]*dldx[ino][jdim];
}
}
}
AddElemMatFin_StVenant2D( area, myu,lambda, nnoes,dudx,dldx, emat[0],eforce_in );
// 外力ベクトルを求める
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
eforce_ex[ino][idim] += area*rho*g[idim]/nnoes;
}
}
////////////////////////////////
// 要素内残差ベクトルを求める
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
eres[ino][idim] = eforce_ex[ino][idim] - eforce_in[ino][idim];
}
}
////////////////////////////////
mat_cc.Mearge(nnoes,noes, nnoes,noes, // 全体剛性行列に要素剛性行列をマージ
ndim*ndim,&emat[0][0][0][0] );
for(unsigned int ino=0;ino<nnoes;ino++){ // 要素内残差をマージ
for(unsigned int idim=0;idim<ndim;idim++){
res_c.AddValue(noes[ino],idim,eres[ino][idim]);
}
}
}
return true;
}
bool AddLinSys_StVenant3D_NonStatic_NewmarkBeta_P1
(double gamma, double beta, double dt,
Fem::Eqn::ILinearSystem_Eqn& ls,
double lambda, double myu,
double rho, double g_x, double g_y, double g_z,
const unsigned int id_field_disp, const CFieldWorld& world,
bool is_initial,
const unsigned int id_ea)
{
// std::cout << "St.Venant3D Tet1st" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TET );
const CField& field_disp = world.GetField(id_field_disp);
const CElemAry::CElemSeg& es_c = field_disp.GetElemSeg(id_ea,CORNER,true,world);
const unsigned int nnoes = 4;
const unsigned int ndim = 3;
double emat[nnoes][nnoes][ndim][ndim]; // coefficient element matrix
double eMmat[nnoes][nnoes][ndim][ndim]; // mass element matrix
double eKmat[nnoes][nnoes][ndim][ndim]; // stiffness element matrix
double eforce_in[nnoes][ndim]; // 要素内内力ベクトル
double eres[nnoes][ndim]; // 要素内残差ベクトル
CMatDia_BlkCrs& mat_cc = ls.GetMatrix( id_field_disp,CORNER,world);// 要素剛性行列(コーナ-コーナー)
CVector_Blk& res_c = ls.GetResidual(id_field_disp,CORNER,world);// 要素残差ベクトル(コーナー)
const CNodeAry::CNodeSeg& ns_c_val = field_disp.GetNodeSeg(CORNER,true,world,VALUE);
const CNodeAry::CNodeSeg& ns_c_velo = field_disp.GetNodeSeg(CORNER,true,world,VELOCITY);
const CNodeAry::CNodeSeg& ns_c_acc = field_disp.GetNodeSeg(CORNER,true,world,ACCELERATION);
const CNodeAry::CNodeSeg& ns_c_co = field_disp.GetNodeSeg(CORNER,false,world);
assert( ns_c_val.Length() == ndim );
assert( ns_c_co.Length() == ndim );
const double g[ndim] = { g_x, g_y, g_z };
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
unsigned int noes[nnoes];
es_c.GetNodes(ielem,noes);
double ecoords[nnoes][ndim]; // coordinate
double edisp[ nnoes][ndim]; // displacement
double evelo[ nnoes][ndim]; // velocity
double eacc[ nnoes][ndim]; // acceleration
for(unsigned int ino=0;ino<nnoes;ino++){
ns_c_co.GetValue( noes[ino], ecoords[ino]);
ns_c_val.GetValue( noes[ino], edisp[ino]);
ns_c_velo.GetValue(noes[ino], evelo[ino]);
ns_c_acc.GetValue( noes[ino], eacc[ ino]);
}
////////////////////////////////
const double vol = TetVolume(ecoords[0],ecoords[1],ecoords[2],ecoords[3]);
double dldx[nnoes][ndim]; // derivative of shape function
double zero_order_term[nnoes]; // constant term of shape function
TetDlDx(dldx, zero_order_term, ecoords[0],ecoords[1],ecoords[2],ecoords[3]);
{ // calc stiffness matrix
double dudx[ndim][ndim] = { {0.0,0.0,0.0}, {0.0,0.0,0.0}, {0.0,0.0,0.0} };
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
dudx[idim][jdim] += edisp[ino][idim]*dldx[ino][jdim];
}
}
}
SetElemMatFin_StVenant3D( vol, myu,lambda, nnoes,dudx,dldx, eKmat[0],eforce_in );
}
{ // calc mass matrix
for(unsigned int i=0;i<nnoes*nnoes*ndim*ndim;i++){ *(&eMmat[0][0][0][0]+i) = 0.0; }
const double tmp1 = rho*vol*0.05;
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int jno=0;jno<nnoes;jno++){
eMmat[ino][jno][0][0] += tmp1;
eMmat[ino][jno][1][1] += tmp1;
eMmat[ino][jno][2][2] += tmp1;
}
}
for(unsigned int ino=0;ino<nnoes;ino++){
eMmat[ino][ino][0][0] += tmp1;
eMmat[ino][ino][1][1] += tmp1;
eMmat[ino][ino][2][2] += tmp1;
}
}
////////////////////////////////
for(unsigned int i=0;i<nnoes*nnoes*ndim*ndim;i++){
(&emat[0][0][0][0])[i] = (&eMmat[0][0][0][0])[i] + beta*dt*dt*(&eKmat[0][0][0][0])[i];
}
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
eres[ino][idim] = vol*rho*g[idim]*0.25 - eforce_in[ino][idim];
for(unsigned int jno=0;jno<nnoes;jno++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
eres[ino][idim] -= eMmat[ino][jno][idim][jdim]*eacc[jno][jdim];
}
}
}
}
if( is_initial ){
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jno=0;jno<nnoes;jno++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
eres[ino][idim] -= dt*eKmat[ino][jno][idim][jdim]*evelo[jno][jdim]
+ 0.5*dt*dt*eKmat[ino][jno][idim][jdim]*eacc[jno][jdim];
}
}
}
}
}
////////////////////////////////
mat_cc.Mearge(nnoes,noes, nnoes,noes, ndim*ndim,&emat[0][0][0][0] );
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
res_c.AddValue(noes[ino],idim,eres[ino][idim]);
}
}
}
return true;
}
static bool AddLinearSystem_Wave2D_P1(
double rho, double alpha, double source,
CLinearSystem_Eigen& ls,
const unsigned int id_field_val, const CFieldWorld& world,
const unsigned int id_ea )
{
// std::cout << "Wave2D TriP1" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TRI );
if( !world.IsIdField(id_field_val) ) return false;
const CField& field_val = world.GetField(id_field_val);
const CElemAry::CElemSeg& es_c_co = field_val.GetElemSeg(id_ea,CORNER,false,world);
const unsigned int nno = 3;
const unsigned int ndim = 2;
unsigned int no_c[nno]; // 要素節点の全体節点番号
double coord_c[nno][ndim]; // 要素節点の座標
double eKmat[nno][nno]; // 要素剛性行列
double eMmat[nno]; // 要素節点等価内力、外力、残差ベクトル
CMatDia_BlkCrs& Kmat_cc = ls.GetMatrix( id_field_val,CORNER,world);
CDiaMat_Blk& Mmat_cc = ls.GetDiaMassMatrix(id_field_val,CORNER,world);
const CNodeAry::CNodeSeg& ns_c_co = field_val.GetNodeSeg(CORNER,false,world);
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
// 要素配列から要素セグメントの節点番号を取り出す
es_c_co.GetNodes(ielem,no_c);
for(unsigned int inoes=0;inoes<nno;inoes++){
ns_c_co.GetValue(no_c[inoes],coord_c[inoes]);
}
// 面積を求める
const double area = TriArea(coord_c[0],coord_c[1],coord_c[2]);
// 形状関数の微分を求める
double dldx[nno][ndim]; // 形状関数のxy微分
double const_term[nno]; // 形状関数の定数項
TriDlDx(dldx,const_term,coord_c[0],coord_c[1],coord_c[2]);
// 要素剛性行列を作る
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
eKmat[ino][jno] = alpha*area*(dldx[ino][0]*dldx[jno][0]+dldx[ino][1]*dldx[jno][1]);
}
}
// 要素節点等価外力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
eMmat[ino] = rho*area*0.33333333333333333;
}
// 要素剛性行列にマージする
Kmat_cc.Mearge(nno,no_c,nno,no_c,1,&eKmat[0][0]);
// 残差ベクトルにマージする
for(unsigned int ino=0;ino<nno;ino++){
Mmat_cc.Mearge(no_c[ino],1,&eMmat[ino]);
}
}
return true;
}
static bool AddLinearSystem_Poisson2D_P1b(
double alpha, double source,
Fem::Ls::CLinearSystem_Save& ls,
const unsigned int id_field_val, const CFieldWorld& world,
const unsigned int id_ea)
{
std::cout << "Poisson2D Triangle 3-point 1st order" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TRI );
if( !world.IsIdField(id_field_val) ) return false;
const CField& field_val = world.GetField(id_field_val);
const CElemAry::CElemSeg& es_c = field_val.GetElemSeg(id_ea,CORNER,true,world);
const CElemAry::CElemSeg& es_b = field_val.GetElemSeg(id_ea,BUBBLE,true,world);
const unsigned int nno_c = 3;
const unsigned int nno_b = 1;
const unsigned int ndim = 2;
unsigned int no_c[nno_c]; // 要素節点の全体節点番号
unsigned int no_b; // 要素節点の全体節点番号
double value_c[nno_c], value_b; // 要素節点の値
double coord_c[nno_c][ndim]; // 要素節点の座標
double dldx[nno_c][ndim]; // 形状関数のxy微分
double const_term[nno_c]; // 形状関数の定数項
double emat_cc[nno_c][nno_c], emat_bb, emat_cb[nno_c], emat_bc[nno_c]; // 要素剛性行列
double eqf_out_c[nno_c]; // 要素節点等価内力、外力、残差ベクトル
double eqf_out_b; // 要素節点等価内力、外力、残差ベクトル
CMatDia_BlkCrs& mat_cc = ls.GetMatrix(id_field_val,CORNER,world);
CMatDia_BlkCrs& mat_bb = ls.GetMatrix(id_field_val,BUBBLE,world);
CMat_BlkCrs& mat_cb = ls.GetMatrix(id_field_val,CORNER, id_field_val,BUBBLE, world);
CMat_BlkCrs& mat_bc = ls.GetMatrix(id_field_val,BUBBLE, id_field_val,CORNER, world);
CMat_BlkCrs& mat_cc_bound = ls.GetMatrix_Boundary(id_field_val,CORNER, id_field_val,CORNER, world);
CMat_BlkCrs& mat_bb_bound = ls.GetMatrix_Boundary(id_field_val,BUBBLE, id_field_val,BUBBLE, world);
CMat_BlkCrs& mat_cb_bound = ls.GetMatrix_Boundary(id_field_val,CORNER, id_field_val,BUBBLE, world);
CMat_BlkCrs& mat_bc_bound = ls.GetMatrix_Boundary(id_field_val,BUBBLE, id_field_val,CORNER, world);
CVector_Blk& force_c = ls.GetForce(id_field_val,CORNER,world);
CVector_Blk& force_b = ls.GetForce(id_field_val,BUBBLE,world);
const CNodeAry::CNodeSeg& ns_c_val = field_val.GetNodeSeg(CORNER,true, world);
const CNodeAry::CNodeSeg& ns_b_val = field_val.GetNodeSeg(BUBBLE,true, world);
const CNodeAry::CNodeSeg& ns_c_co = field_val.GetNodeSeg(CORNER,false,world);
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
// 要素配列から要素セグメントの節点番号を取り出す
es_c.GetNodes(ielem,no_c);
es_b.GetNodes(ielem,&no_b);
// 節点の値を取ってくる
for(unsigned int inoes=0;inoes<nno_c;inoes++){
ns_c_co.GetValue(no_c[inoes],coord_c[inoes]);
ns_c_val.GetValue(no_c[inoes],&value_c[inoes]);
}
ns_b_val.GetValue(no_b,&value_b);
// 面積を求める
const double area = TriArea(coord_c[0],coord_c[1],coord_c[2]);
// 形状関数の微分を求める
TriDlDx(dldx,const_term,coord_c[0],coord_c[1],coord_c[2]);
{ // 要素剛性行列を作る
double vc_b[4];
vc_b[0] = 1.0/3.0; vc_b[1] = 1.0/3.0; vc_b[2] = 1.0/3.0; vc_b[3] = 27.0;
const double tmp_val1 = vc_b[3]*vc_b[3]*area/180.0*(
dldx[0][0]*dldx[0][0]+dldx[0][1]*dldx[0][1]+
dldx[1][0]*dldx[1][0]+dldx[1][1]*dldx[1][1]+
dldx[2][0]*dldx[2][0]+dldx[2][1]*dldx[2][1] );
double tmp1;
for(unsigned int ino_c=0;ino_c<nno_c;ino_c++){
for(unsigned int jno_c=0;jno_c<nno_c;jno_c++){
tmp1 =
area*(dldx[ino_c][0]*dldx[jno_c][0]+dldx[ino_c][1]*dldx[jno_c][1])
+vc_b[ino_c]*vc_b[jno_c]*tmp_val1;
emat_cc[ino_c][jno_c] = tmp1;
}
}
for(unsigned int ino_c=0;ino_c<nno_c;ino_c++){
tmp1 = -1.0*vc_b[ino_c]*tmp_val1;
emat_cb[ino_c] = tmp1;
emat_bc[ino_c] = tmp1;
}
emat_bb = tmp_val1;
}
// 要素節点等価外力ベクトルを求める
for(unsigned int ino_c=0;ino_c<nno_c;ino_c++){
eqf_out_c[ino_c] = source*area*11.0/60.0;
}
eqf_out_b = source*area*27.0/60.0;
// 要素剛性行列の全体剛性行列へのマージ
mat_cc.Mearge(nno_c,no_c,nno_c,no_c, 1,&emat_cc[0][0]);
mat_cb.Mearge(nno_c,no_c,nno_b,&no_b, 1,&emat_cb[0] );
mat_bc.Mearge(nno_b,&no_b,nno_c,no_c, 1,&emat_bc[0] );
mat_bb.Mearge(nno_b,&no_b,nno_b,&no_b, 1,&emat_bb );
////////////////
mat_cc_bound.Mearge(nno_c, no_c,nno_c, no_c, 1,&emat_cc[0][0]);
mat_cb_bound.Mearge(nno_c, no_c,nno_b,&no_b, 1,&emat_cb[0] );
mat_bc_bound.Mearge(nno_b,&no_b,nno_c, no_c, 1,&emat_bc[0] );
mat_bb_bound.Mearge(nno_b,&no_b,nno_b,&no_b, 1,&emat_bb );
// 残差ベクトルのマージ
for(unsigned int inoes=0;inoes<nno_c;inoes++){
force_c.AddValue( no_c[inoes],0,eqf_out_c[inoes]);
}
force_b.AddValue( no_b,0,eqf_out_b );
}
return true;
}
bool AddLinearSystem_Poisson2D_P1(
double alpha, double source,
CLinearSystem_Save& ls,
unsigned int id_field_val, const CFieldWorld& world,
unsigned int id_ea)
{
// std::cout << "Poisson2D Tri P1" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TRI );
if( !world.IsIdField(id_field_val) ) return false;
const CField& field_val = world.GetField(id_field_val);
const CElemAry::CElemSeg& es_c_va = field_val.GetElemSeg(id_ea,CORNER,true, world);
const CElemAry::CElemSeg& es_c_co = field_val.GetElemSeg(id_ea,CORNER,false,world);
const unsigned int nno = 3;
const unsigned int ndim = 2;
unsigned int no_c[nno]; // 要素節点の全体節点番号
double value_c[nno]; // 要素節点の値
double coord_c[nno][ndim]; // 要素節点の座標
double emat[nno][nno]; // 要素剛性行列
double eqf_out_c[nno]; // 要素節点等価内力、外力、残差ベクトル
CMatDia_BlkCrs& mat_cc = ls.GetMatrix(id_field_val,CORNER,world);
CVector_Blk& force_c = ls.GetForce(id_field_val,CORNER,world);
CMat_BlkCrs& mat_cc_boundary = ls.GetMatrix_Boundary(id_field_val,CORNER,id_field_val,CORNER,world);
const CNodeAry::CNodeSeg& ns_c_val = field_val.GetNodeSeg(CORNER,true, world);//na_c_val.GetSeg(id_ns_c_val);
const CNodeAry::CNodeSeg& ns_c_co = field_val.GetNodeSeg(CORNER,false,world);//na_c_co.GetSeg(id_ns_c_co);
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
// 要素配列から要素セグメントの節点番号を取り出す
es_c_co.GetNodes(ielem,no_c);
// 節点の値を取って来る
for(unsigned int ino=0;ino<nno;ino++){
ns_c_co.GetValue(no_c[ino],coord_c[ino]);
}
es_c_va.GetNodes(ielem,no_c);
// 節点の値を取って来る
for(unsigned int ino=0;ino<nno;ino++){
ns_c_val.GetValue(no_c[ino],&value_c[ino]);
}
// 面積を求める
const double area = TriArea(coord_c[0],coord_c[1],coord_c[2]);
// 形状関数の微分を求める
double dldx[nno][ndim]; // 形状関数のxy微分
double const_term[nno]; // 形状関数の定数項
TriDlDx(dldx,const_term,coord_c[0],coord_c[1],coord_c[2]);
// 要素剛性行列を作る
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
emat[ino][jno] = alpha*area*(dldx[ino][0]*dldx[jno][0]+dldx[ino][1]*dldx[jno][1]);
}
}
// 要素節点等価外力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
eqf_out_c[ino] = source*area*0.333333333333333333;
}
// 要素剛性行列にマージする
mat_cc.Mearge( nno,no_c,nno,no_c,1,&emat[0][0]);
mat_cc_boundary.Mearge(nno,no_c,nno,no_c,1,&emat[0][0]);
// 残差ベクトルにマージする
for(unsigned int ino=0;ino<nno;ino++){
force_c.AddValue( no_c[ino],0,eqf_out_c[ino]);
}
}
return true;
}
static bool AddLinSys_AdvectionDiffusion_NonStatic_Newmark_P1P1(
double rho, double myu, double source,
CLinearSystem_SaveDiaM_Newmark& ls,
const unsigned int id_field_val, const unsigned int id_field_velo, const CFieldWorld& world,
unsigned int id_ea )
{
// std::cout << "Poisson2D Triangle 3-point 1st order" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TRI );
if( !world.IsIdField(id_field_val) ) return false;
const CField& val_field = world.GetField(id_field_val);
if( !world.IsIdField(id_field_velo) ) return false;
const CField& field_velo = world.GetField(id_field_velo);
const double gamma = ls.GetGamma();
const double dt = ls.GetDt();
const unsigned int nno = 3;
const unsigned int ndim = 2;
const CElemAry::CElemSeg& es_c_val = val_field.GetElemSeg(id_ea,CORNER,true,world);
double emat[nno][nno]; // 要素剛性行列
double eqf_out_c[nno]; // 要素節点等価内力、外力、残差ベクトル
CMatDia_BlkCrs& mat_cc = ls.GetMatrix(id_field_val,CORNER,world);
CVector_Blk& force_c = ls.GetForce( id_field_val,CORNER,world);
CMat_BlkCrs& mat_cc_bound = ls.GetMatrix_Boundary(id_field_val,CORNER,id_field_val,CORNER,world);
const CNodeAry::CNodeSeg& ns_c_val = val_field.GetNodeSeg(CORNER,true,world,VALUE); //na_c_val.GetSeg(id_ns_c_val);
const CNodeAry::CNodeSeg& ns_c_vval = val_field.GetNodeSeg(CORNER,true,world,VELOCITY); //na_c_val.GetSeg(id_ns_c_vval);
const CNodeAry::CNodeSeg& ns_c_velo = field_velo.GetNodeSeg(CORNER,true,world,VELOCITY);//na_c_velo.GetSeg(id_ns_c_velo);
const CNodeAry::CNodeSeg& ns_c_co = field_velo.GetNodeSeg(CORNER,false,world,VALUE); //na_c_co.GetSeg(id_ns_c_co);
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
// 要素配列から要素セグメントの節点番号を取り出す
unsigned int no_c[nno]; // 要素節点の全体節点番号
es_c_val.GetNodes(ielem,no_c);
// 節点の値を取って来る
double val_c[nno], vval_c[nno]; // 要素節点の値
double coord_c[nno][ndim]; // 要素節点の座標
double velo_c[nno][ndim]; // advection velocity
for(unsigned int ino=0;ino<nno;ino++){
ns_c_val.GetValue(no_c[ino],&val_c[ino]);
ns_c_vval.GetValue(no_c[ino],&vval_c[ino]);
ns_c_velo.GetValue(no_c[ino],velo_c[ino]);
ns_c_co.GetValue(no_c[ino],coord_c[ino]);
}
////////////////////////////////////////////////////////////////
// 面積を求める
const double area = TriArea(coord_c[0],coord_c[1],coord_c[2]);
// 形状関数の微分を求める
double dldx[nno][ndim]; // 形状関数のxy微分
double const_term[nno]; // 形状関数の定数項
TriDlDx(dldx,const_term,coord_c[0],coord_c[1],coord_c[2]);
double eCmat[nno][nno];
// 要素剛性行列を作る
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
eCmat[ino][jno] = myu*area*(dldx[ino][0]*dldx[jno][0]+dldx[ino][1]*dldx[jno][1]);
}
}
{
const double dtmp1 = area/12.0;
for(unsigned int ino=0;ino<nno;ino++){
const double dtmp_0 = dtmp1*(velo_c[0][0]+velo_c[1][0]+velo_c[2][0]+velo_c[ino][0]);
const double dtmp_1 = dtmp1*(velo_c[0][1]+velo_c[1][1]+velo_c[2][1]+velo_c[ino][1]);
for(unsigned int jno=0;jno<nno;jno++){
eCmat[ino][jno] += dldx[jno][0]*dtmp_0+dldx[jno][1]*dtmp_1;
}
}
}
// Calc Stabilization Parameter
double tau;
{
const double velo_ave[2] = {
(velo_c[0][0]+velo_c[1][0]+velo_c[2][0])/3.0,
(velo_c[0][1]+velo_c[1][1]+velo_c[2][1])/3.0 };
const double norm_v = sqrt(velo_ave[0]*velo_ave[0]+velo_ave[1]*velo_ave[1]);
const double velo_dir[2] = { velo_ave[0]/norm_v, velo_ave[1]/norm_v };
double h;
{ // calc element length along the direction of velocity
double dtmp1 = 0;
for(int inode=0;inode<3;inode++){
dtmp1 += fabs(velo_dir[0]*dldx[inode][0]+velo_dir[1]*dldx[inode][1]);
}
h = 2.0/dtmp1;
}
// calc stabilization parameter
if( norm_v*h*rho < 6.0*myu ){
const double re_c = 0.5*norm_v*h*rho/myu; // 0.5*norm_v*h*rho/myu;
tau = h * 0.5 / norm_v * re_c / 3.0;
}
else{ tau = h * 0.5 / norm_v; }
// tau *= 0.1;
}
{
double tmp_mat[ndim][ndim];
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
double dtmp1 = 0.0;
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
dtmp1 += velo_c[ino][idim]*velo_c[jno][jdim];
}
dtmp1 += velo_c[ino][idim]*velo_c[ino][jdim];
}
tmp_mat[idim][jdim] = area*tau*dtmp1/12.0;
}
}
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
double dtmp1 = 0.0;
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
dtmp1 += dldx[ino][idim]*dldx[jno][jdim]*tmp_mat[idim][jdim];
}
}
eCmat[ino][jno] += dtmp1;
}
}
}
double eMmat[nno][nno];
{
const double dtmp1 = rho*area*0.08333333333333333333333333;
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
eMmat[ino][jno] = dtmp1;
}
eMmat[ino][ino] += dtmp1;
}
}
// 要素節点等価外力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
eqf_out_c[ino] = source*area*0.333333333333333333333;
}
////////////////////////////////////////////////////////////////
{ // 要素係数行列を求める
double dtmp1 = gamma*dt;
for(unsigned int i=0;i<nno*nno;i++){
(&emat[0][0])[i] = (&eMmat[0][0])[i]+dtmp1*(&eCmat[0][0])[i];
}
}
// 要素剛性行列にマージする
mat_cc .Mearge(nno,no_c,nno,no_c,1, &emat[0][0]);
mat_cc_bound.Mearge(nno,no_c,nno,no_c,1,&eCmat[0][0]);
// 残差ベクトルにマージする
for(unsigned int ino=0;ino<nno;ino++){
force_c.AddValue( no_c[ino],0,eqf_out_c[ino]);
}
}
return true;
}
bool AddLinSys_StVenant3D_Static_P1
(Fem::Eqn::ILinearSystem_Eqn& ls,
double lambda, double myu,
double rho, double g_x, double g_y, double g_z,
const unsigned int id_field_disp, const CFieldWorld& world,
unsigned int id_ea)
{
// std::cout << "StVenant3D Tet 4-point 1st order" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TET );
const CField& field_disp = world.GetField(id_field_disp);
const CElemAry::CElemSeg& es_c = field_disp.GetElemSeg(id_ea,CORNER,true,world);
const unsigned int nnoes = 4; assert( nnoes == es_c.Length() );
const unsigned int ndim = 3;
unsigned int noes[nnoes]; // 要素内の節点の節点番号
double emat[nnoes][nnoes][ndim][ndim]; // 要素剛性行列
double eforce_ex[nnoes][ndim]; // 要素内外力ベクトル
double eforce_in[nnoes][ndim]; // 要素内内力ベクトル
double eres[nnoes][ndim]; // 要素内残差ベクトル
double ecoords[nnoes][ndim]; // 要素節点座標
double edisp[ nnoes][ndim]; // 要素節点変位
double dldx[nnoes][ndim]; // 形状関数の空間微分
double zero_order_term[nnoes]; // 形状関数の定数項
CMatDia_BlkCrs& mat_cc = ls.GetMatrix( id_field_disp,CORNER,world);// 要素剛性行列(コーナ-コーナー)
CVector_Blk& res_c = ls.GetResidual(id_field_disp,CORNER,world);// 要素残差ベクトル(コーナー)
const CNodeAry::CNodeSeg& ns_c_val = field_disp.GetNodeSeg(CORNER,true,world,VALUE);//.GetSeg(id_ns_c_val);
const CNodeAry::CNodeSeg& ns_c_co = field_disp.GetNodeSeg(CORNER,false,world,VALUE);//na_c_co.GetSeg(id_ns_c_co);
double g[ndim] = { g_x, g_y, g_z };
for(unsigned int ielem=0;ielem<ea.Size();ielem++){
// 要素の節点番号を取ってくる
es_c.GetNodes(ielem,noes);
// 節点の座標、値を取ってくる
for(unsigned int ino=0;ino<nnoes;ino++){
ns_c_co.GetValue(noes[ino],ecoords[ino]);
ns_c_val.GetValue(noes[ino],edisp[ino]);
}
////////////////////////////////
// 要素剛性行列、残差を０で初期化
for(unsigned int i=0;i<nnoes*nnoes*ndim*ndim;i++){ *(&emat[0][0][0][0]+i) = 0.0; }
for(unsigned int i=0;i< nnoes*ndim;i++){ *(&eforce_ex[0][0] +i) = 0.0; }
for(unsigned int i=0;i< nnoes*ndim;i++){ *(&eforce_in[0][0] +i) = 0.0; }
// 面積を求める
const double vol = TetVolume(ecoords[0],ecoords[1],ecoords[2],ecoords[3]);
// 形状関数のｘｙ微分を求める
TetDlDx(dldx, zero_order_term, ecoords[0],ecoords[1],ecoords[2],ecoords[3]);
{ // 要素剛性行列，要素内力ベクトルを作る
double dudx[ndim][ndim] = { {0.0,0.0,0.0}, {0.0,0.0,0.0}, {0.0,0.0,0.0} };
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
dudx[idim][jdim] += edisp[ino][idim]*dldx[ino][jdim];
}
}
}
SetElemMatFin_StVenant3D( vol, myu,lambda, nnoes,dudx,dldx, emat[0],eforce_in );
}
// 外力ベクトルを求める
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
eforce_ex[ino][idim] += vol*rho*g[idim]/nnoes;
}
}
////////////////////////////////
// 要素内残差ベクトルを求める
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
eres[ino][idim] = eforce_ex[ino][idim] - eforce_in[ino][idim];
}
}
////////////////////////////////
mat_cc.Mearge(nnoes,noes, nnoes,noes, // 全体剛性行列に要素剛性行列をマージ
ndim*ndim, &emat[0][0][0][0] );
for(unsigned int ino=0;ino<nnoes;ino++){ // 要素内残差をマージ
for(unsigned int idim=0;idim<ndim;idim++){
res_c.AddValue(noes[ino],idim,eres[ino][idim]);
}
}
}
return true;
}
bool AddLinSys_StVenant3D_Static_Q1
(Fem::Eqn::ILinearSystem_Eqn& ls,
double lambda, double myu,
double rho, double g_x, double g_y, double g_z,
const unsigned int id_field_disp, const CFieldWorld& world,
const unsigned int id_ea)
{
// std::cout << "StVenant3D Hex 8-point 1st order" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == HEX );
assert( world.IsIdField(id_field_disp) );
const CField& field_disp = world.GetField(id_field_disp);
const CElemAry::CElemSeg& es_c = field_disp.GetElemSeg(id_ea,CORNER,true,world);
unsigned int num_integral = 1;
const unsigned int nInt = NIntLineGauss[num_integral];
const double (*Gauss)[2] = LineGauss[num_integral];
double detjac, detwei;
const unsigned int nnoes = 8; assert( nnoes == es_c.Length() );
const unsigned int ndim = 3;
unsigned int noes[nnoes]; // 要素内の節点の節点番号
double emat[nnoes][nnoes][ndim][ndim]; // 要素剛性行列
double eforce_ex[nnoes][ndim]; // 要素内外力ベクトル
double eforce_in[nnoes][ndim]; // 要素内内力ベクトル
double eres[nnoes][ndim]; // 要素内残差ベクトル
double ecoords[nnoes][ndim]; // 要素節点座標
double edisp[ nnoes][ndim]; // 要素節点変位
double dndx[nnoes][ndim]; // 形状関数の空間微分
double an[nnoes];
CMatDia_BlkCrs& mat_cc = ls.GetMatrix( id_field_disp,CORNER,world);// 要素剛性行列(コーナ-コーナー)
CVector_Blk& res_c = ls.GetResidual(id_field_disp,CORNER,world);// 要素残差ベクトル(コーナー)
const CNodeAry::CNodeSeg& ns_c_val = field_disp.GetNodeSeg(CORNER,true,world,VALUE);//.GetSeg(id_ns_c_val);
const CNodeAry::CNodeSeg& ns_c_co = field_disp.GetNodeSeg(CORNER,false,world,VALUE);//na_c_co.GetSeg(id_ns_c_co);
// double g[ndim] = { g_x, g_y, g_z };
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
// 要素の節点番号を取ってくる
es_c.GetNodes(ielem,noes);
// 節点の座標、値を取ってくる
for(unsigned int ino=0;ino<nnoes;ino++){
ns_c_co.GetValue(noes[ino],ecoords[ino]);
ns_c_val.GetValue(noes[ino],edisp[ino]);
}
////////////////////////////////
// 要素剛性行列、残差を０で初期化
for(unsigned int i=0;i<nnoes*nnoes*ndim*ndim;i++){ *(&emat[0][0][0][0]+i) = 0.0; }
for(unsigned int i=0;i< nnoes*ndim;i++){ *(&eforce_ex[0][0] +i) = 0.0; }
for(unsigned int i=0;i< nnoes*ndim;i++){ *(&eforce_in[0][0] +i) = 0.0; }
double vol = 0.0;
for(unsigned int ir1=0;ir1<nInt;ir1++){
for(unsigned int ir2=0;ir2<nInt;ir2++){
for(unsigned int ir3=0;ir3<nInt;ir3++){
const double r1 = Gauss[ir1][0];
const double r2 = Gauss[ir2][0];
const double r3 = Gauss[ir3][0];
ShapeFunc_Hex8(r1,r2,r3,ecoords,detjac,dndx,an);
detwei = detjac*Gauss[ir1][1]*Gauss[ir2][1]*Gauss[ir3][1];
vol += detwei;
{ // 要素剛性行列，要素内力ベクトルを作る
double dudx[ndim][ndim] = { {0.0,0.0,0.0}, {0.0,0.0,0.0}, {0.0,0.0,0.0} };
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
for(unsigned int jdim=0;jdim<ndim;jdim++){
dudx[idim][jdim] += edisp[ino][idim]*dndx[ino][jdim];
}
}
}
SetElemMatFin_StVenant3D( vol, myu,lambda, nnoes,dudx,dndx, emat[0],eforce_in );
}
// 要素節点等価外力ベクトルを積n分毎に足し合わせる
for(unsigned int ino=0;ino<nnoes;ino++){
eforce_ex[ino][0] += detwei*rho*g_x;
eforce_ex[ino][1] += detwei*rho*g_y;
eforce_ex[ino][2] += detwei*rho*g_z;
}
}
}
}
////////////////////////////////
// 要素内残差ベクトルを求める
for(unsigned int ino=0;ino<nnoes;ino++){
for(unsigned int idim=0;idim<ndim;idim++){
eres[ino][idim] = eforce_ex[ino][idim] - eforce_in[ino][idim];
}
}
////////////////////////////////
mat_cc.Mearge(nnoes,noes, nnoes,noes, // 全体剛性行列に要素剛性行列をマージ
ndim*ndim, &emat[0][0][0][0] );
for(unsigned int ino=0;ino<nnoes;ino++){ // 要素内残差をマージ
for(unsigned int idim=0;idim<ndim;idim++){
res_c.AddValue(noes[ino],idim,eres[ino][idim]);
}
}
}
return true;
}
// 対角にパターンを追加
bool CZLinearSystem::AddPattern_Field(const unsigned int id_field, const CFieldWorld& world)
{
if( !world.IsIdField(id_field) ) return false;
const CField& field = world.GetField(id_field);
unsigned int id_field_parent;
{
if( field.GetIDFieldParent() == 0 ){ id_field_parent = id_field; }
else{ id_field_parent = field.GetIDFieldParent(); }
}
unsigned int nlen_value;
{ // 複素数の場合は２で割る
const unsigned int nlen = field.GetNLenValue();
assert( nlen % 2 == 0 );
nlen_value = nlen / 2;
}
int ESType2iLS[3];
{ // Bubbleブロックを作る
unsigned int id_na_val = field.GetNodeSegInNodeAry(BUBBLE).id_na_va;
if( id_na_val != 0 ){
assert( world.IsIdNA(id_na_val) );
const CNodeAry& na = world.GetNA(id_na_val);
CLinSysSeg seg;
{
seg.id_field = id_field_parent; seg.node_config = BUBBLE;
seg.len=nlen_value; seg.nnode=na.Size();
}
ESType2iLS[2] = this->AddLinSysSeg(seg);
}
else{ ESType2iLS[2] = -1; }
}
{ // Edgeブロックを作る
unsigned int id_na_val = field.GetNodeSegInNodeAry(EDGE).id_na_va;
if( id_na_val != 0 ){
assert( world.IsIdNA(id_na_val) );
const CNodeAry& na = world.GetNA(id_na_val);
CLinSysSeg seg;
{
seg.id_field = id_field_parent; seg.node_config = EDGE;
seg.len=nlen_value; seg.nnode=na.Size();
}
ESType2iLS[1] = this->AddLinSysSeg(seg);
}
else{ ESType2iLS[1] = -1; }
}
{ // Cornerブロックを作る
unsigned int id_na_val = field.GetNodeSegInNodeAry(CORNER).id_na_va;
if( id_na_val != 0 ){
assert( world.IsIdNA(id_na_val) );
const CNodeAry& na = world.GetNA(id_na_val);
CLinSysSeg seg;
{
seg.id_field = id_field_parent; seg.node_config = CORNER;
seg.len=nlen_value; seg.nnode=na.Size();
}
ESType2iLS[0] = this->AddLinSysSeg(seg);
}
else{ ESType2iLS[0] = -1; }
}
////////////////////////////////
const std::vector<unsigned int> aIdEA = field.GetAryIdEA();
if( aIdEA.size() == 0 ){ // 剛体モードのための行列
unsigned int ils0 = ESType2iLS[0];
if( m_Matrix_Dia[ils0] == 0 ){
m_Matrix_Dia[ils0] = new CZMatDia_BlkCrs(1, nlen_value);
}
return true;
}
for(unsigned int iiea=0;iiea<aIdEA.size();iiea++)
{
const unsigned int id_ea = aIdEA[iiea];
const CElemAry& ea = world.GetEA(id_ea);
// CORNER節点について
if( field.GetIdElemSeg(id_ea,CORNER,true,world) != 0 ){
assert( world.IsIdEA(id_ea) );
const unsigned int id_es_c = field.GetIdElemSeg(id_ea,CORNER,true,world);
assert( ea.IsSegID(id_es_c) );
const unsigned int ils0 = ESType2iLS[0];
this->AddMat_Dia(ils0, ea, id_es_c ); // cc行列を作る
if( field.GetIdElemSeg(id_ea,BUBBLE,true,world) != 0 ){ // CORNER-BUBBLE
const unsigned int id_es_b = field.GetIdElemSeg(id_ea,BUBBLE,true,world);
assert( ea.IsSegID(id_es_b) );
const unsigned int ils1 = ESType2iLS[2];
Com::CIndexedArray crs;
ea.MakePattern_FEM(id_es_c,id_es_b,crs);
assert( crs.CheckValid() );
this->AddMat_NonDia(ils0,ils1, crs); // cb行列を作る
const unsigned int nnode1 = m_aSeg[ils1].nnode;
Com::CIndexedArray crs_inv;
crs_inv.SetTranspose(nnode1,crs);
this->AddMat_NonDia(ils1,ils0, crs_inv); // bc行列を作る
}
if( field.GetIdElemSeg(id_ea,EDGE,true,world) != 0 ){ // CONRER-EDGE
const unsigned int id_es_e = field.GetIdElemSeg(id_ea,EDGE,true,world);
assert( ea.IsSegID(id_es_e) );
const unsigned int ils1 = ESType2iLS[1];
Com::CIndexedArray crs;
ea.MakePattern_FEM(id_es_c,id_es_e,crs);
assert( crs.CheckValid() );
this->AddMat_NonDia(ils0,ils1, crs); // ce行列を作る
const unsigned int nnode1 = m_aSeg[ils1].nnode;
Com::CIndexedArray crs_inv;
crs_inv.SetTranspose(nnode1,crs);
this->AddMat_NonDia(ils1,ils0, crs_inv); // ec行列を作る
}
}
// EDGE節点について
if( field.GetIdElemSeg(id_ea,EDGE,true,world) != 0 ){
const unsigned int id_es_e = field.GetIdElemSeg(id_ea,EDGE,true,world);
assert( ea.IsSegID(id_es_e) );
const unsigned int ils0 = ESType2iLS[1];
this->AddMat_Dia(ils0, ea, id_es_e); // ee行列を作る
if( field.GetIdElemSeg(id_ea,BUBBLE,true,world) != 0 ){ // EDGE-BUBBLE
const unsigned int id_es_b = field.GetIdElemSeg(id_ea,BUBBLE,true,world);
assert( ea.IsSegID(id_es_b) );
const unsigned int ils1 = ESType2iLS[2];
Com::CIndexedArray crs;
ea.MakePattern_FEM(id_es_e,id_es_b,crs);
assert( crs.CheckValid() );
this->AddMat_NonDia(ils0,ils1, crs); // eb行列を作る
const unsigned int nnode1 = m_aSeg[ils1].nnode;
Com::CIndexedArray crs_inv;
crs_inv.SetTranspose(nnode1,crs);
this->AddMat_NonDia(ils1,ils0, crs_inv); // be行列を作る
}
}
// BUBBLE節点について
if( field.GetIdElemSeg(id_ea,BUBBLE,true,world) != 0 ){
const unsigned int id_es_b = field.GetIdElemSeg(id_ea,BUBBLE,true,world);
assert( ea.IsSegID(id_es_b) );
const unsigned int ils0 = ESType2iLS[2];
this->AddMat_Dia(ils0, ea, id_es_b);
}
}
return true;
}
static bool AddLinearSystem_Poisson3D_P1(
double alpha, double source,
Fem::Ls::CLinearSystem_Field& ls,
unsigned int id_field_val, const CFieldWorld& world,
unsigned int id_ea)
{
// std::cout << "Poisson3D Tet 4-point 1st order" << std::endl;
assert( world.IsIdEA(id_ea) );
const CElemAry& ea = world.GetEA(id_ea);
assert( ea.ElemType() == TET );
if( !world.IsIdField(id_field_val) ) return false;
const CField& field_val = world.GetField(id_field_val);
const CElemAry::CElemSeg& es_c = field_val.GetElemSeg(id_ea,CORNER,false,world);
const unsigned int nno = 4;
const unsigned int ndim = 3;
unsigned int no_c[nno]; // 要素節点の全体節点番号
double value_c[nno]; // 要素節点の値
double coord_c[nno][ndim]; // 要素節点の座標
double emat[nno][nno]; // 要素剛性行列
double eres_c[nno]; // 要素節点等価内力、外力、残差ベクトル
CMatDia_BlkCrs& mat_cc = ls.GetMatrix( id_field_val,CORNER,world);
CVector_Blk& res_c = ls.GetResidual(id_field_val,CORNER,world);
const CNodeAry::CNodeSeg& ns_c_val = field_val.GetNodeSeg(CORNER,true,world);
const CNodeAry::CNodeSeg& ns_c_co = field_val.GetNodeSeg(CORNER,false,world);
for(unsigned int ielem=0;ielem<ea.Size();ielem++)
{
// 要素配列から要素セグメントの節点番号を取り出す
es_c.GetNodes(ielem,no_c);
// 節点の値を取って来る
for(unsigned int inoes=0;inoes<nno;inoes++){
ns_c_co.GetValue(no_c[inoes],coord_c[inoes]);
ns_c_val.GetValue(no_c[inoes],&value_c[inoes]);
}
// 面積を求める
const double vol = TetVolume(coord_c[0],coord_c[1],coord_c[2], coord_c[3]);
// 形状関数の微分を求める
double dldx[nno][ndim]; // 形状関数のxy微分
double const_term[nno]; // 形状関数の定数項
TetDlDx(dldx,const_term,coord_c[0],coord_c[1],coord_c[2], coord_c[3]);
// 要素剛性行列を作る
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
emat[ino][jno] = alpha*vol*(dldx[ino][0]*dldx[jno][0]+dldx[ino][1]*dldx[jno][1]+dldx[ino][2]*dldx[jno][2]);
}
}
// 要素節点等価外力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
eres_c[ino] = source*vol*0.25;
}
// 要素節点等価内力ベクトルを求める
for(unsigned int ino=0;ino<nno;ino++){
for(unsigned int jno=0;jno<nno;jno++){
eres_c[ino] -= emat[ino][jno]*value_c[jno];
}
}
// 要素剛性行列にマージする
mat_cc.Mearge(nno,no_c,nno,no_c,1,&emat[0][0]);
// 残差ベクトルにマージする
for(unsigned int inoes=0;inoes<nno;inoes++){
res_c.AddValue( no_c[inoes],0,eres_c[inoes]);
}
}
return true;
}