/*----------------------------------------------------------------------*
| mwgee 08/05|
| 2D case: |
| this method evaluates the function |
| F(eta) = ( Ni * xis - xm ) dot g(xi) |
| with Ni shape functions of slave segment |
| xm nodal coords of master node |
| xs nodal coords of slave nodes on segment |
| njs nodal outward normal of nodes xs (slave side) |
*----------------------------------------------------------------------*/
double MOERTEL::Projector::evaluate_F_2D_SegmentOrthogonal(MOERTEL::Node& node,
MOERTEL::Segment& seg,
double eta,
double &gap)
{
// check the type of function on the segment
// Here, we need 1D functions set as function id 0
MOERTEL::Function::FunctionType type = seg.FunctionType(0);
if (type != MOERTEL::Function::func_Linear1D)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Projector::evaluate_F_2D_SegmentOrthogonal:\n"
<< "***ERR*** function is of wrong type\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
// evaluate the first function set on segment at eta
int nsnode = seg.Nnode();
double val[100];
seg.EvaluateFunction(0,&eta,val,nsnode,NULL);
// get nodal coords and normals of slave nodes and interpolate them
double Nx[2];
Nx[0] = Nx[1] = 0.0;
MOERTEL::Node** snodes = seg.Nodes();
if (!snodes)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Projector::evaluate_F_2D_SegmentOrthogonal:\n"
<< "***ERR*** segment " << seg.Id() << " ptr to it's nodes is zero\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
for (int i=0; i<nsnode; ++i)
{
const double* X = snodes[i]->X();
Nx[0] += val[i]*X[0];
Nx[1] += val[i]*X[1];
}
// subtract xm from interpolated coords Nx
const double* X = node.X();
Nx[0] -= X[0];
Nx[1] -= X[1];
// evaluate the metric of the segment in point xi
double g[2];
seg.Metric(&eta,g,NULL);
// calculate F
double F = Nx[0]*g[0] + Nx[1]*g[1];
gap = (Nx[0] * g[0] + Nx[1] * g[1]);
// gap = ((Nx[0] - X[0]) * g[0] + (Nx[1] - X[1]) * g[1])
// / sqrt(g[0] * g[0] + g[1] * g[1]); // ||gap|| cos theta
return F;
}
/*----------------------------------------------------------------------*
| mwgee 08/05|
| 2D case: |
| this method evaluates the function |
| gradF(eta) = |
| ( Ni,eta * xis ) * ( Ni,eta * xis ) |
| with Ni,eta derivative of shape functions of segment |
| Ni,Nj shape functions of segment |
| xis nodal coords of segment's nodes i (slave side) |
*----------------------------------------------------------------------*/
double MOERTEL::Projector::evaluate_gradF_2D_SegmentOrthogonal_to_g(
MOERTEL::Node& node,
MOERTEL::Segment& seg,
double eta,
double* g)
{
// check the type of function on the segment
// Here, we need 1D functions set as function id 0
MOERTEL::Function::FunctionType type = seg.FunctionType(0);
if (type != MOERTEL::Function::func_Linear1D)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Projector::evaluate_gradF_2D_SegmentOrthogonal_to_g:\n"
<< "***ERR*** function is of wrong type\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
// evaluate function and derivatives of the first function set on segment at eta
int nmnode = seg.Nnode();
double deriv[200];
seg.EvaluateFunction(0,&eta,NULL,nmnode,deriv);
// intermediate data:
// Nxeta = Ni,eta * xi
// get nodal coords and normals of nodes and interpolate them
double Nxeta[2]; Nxeta[0] = Nxeta[1] = 0.0;
MOERTEL::Node** mnodes = seg.Nodes();
if (!mnodes)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Projector::evaluate_gradF_2D_SegmentOrthogonal_to_g:\n"
<< "***ERR*** segment " << seg.Id() << " ptr to it's nodes is zero\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
for (int i=0; i<nmnode; ++i)
{
const double* X = mnodes[i]->X();
Nxeta[0] += deriv[i]*X[0];
Nxeta[1] += deriv[i]*X[1];
}
// calculate gradF
double gradF = Nxeta[0]*g[0] + Nxeta[1]*g[1];
return gradF;
}
/*----------------------------------------------------------------------*
| project nodes master to slave along slave cont. normal field |
*----------------------------------------------------------------------*/
bool MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField()
{
if (!IsComplete())
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField:\n"
<< "***ERR*** Complete() not called on interface " << Id() << "\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
if (!lComm()) return true;
int mside = MortarSide();
int sside = OtherSide(mside);
// iterate over all nodes of the master side and project those belonging to me
std::map<int,Teuchos::RCP<MOERTEL::Node> >::iterator mcurr;
for (mcurr=rnode_[mside].begin(); mcurr!=rnode_[mside].end(); ++mcurr)
{
Teuchos::RCP<MOERTEL::Node> mnode = mcurr->second;
if (NodePID(mnode->Id()) != lComm()->MyPID())
continue;
const double* mx = mnode->X();
double mindist = 1.0e+20;
Teuchos::RCP<MOERTEL::Node> closenode = Teuchos::null;
// find a node on the slave side that is closest to me
std::map<int,Teuchos::RCP<MOERTEL::Node> >::iterator scurr;
for (scurr=rnode_[sside].begin(); scurr!=rnode_[sside].end(); ++scurr)
{
Teuchos::RCP<MOERTEL::Node> snode = scurr->second;
const double* sx = snode->X();
// build distance | snode->X() - mnode->X() |
double dist = 0.0;
for (int i=0; i<3; ++i) dist += (mx[i]-sx[i])*(mx[i]-sx[i]);
dist = sqrt(dist);
if (dist < mindist)
{
mindist = dist;
closenode = snode;
}
}
if (closenode == Teuchos::null)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField:\n"
<< "***ERR*** Weired: for master node " << mnode->Id() << " no closest master node found\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
#if 0
cout << "snode " << *mnode;
cout << "closenode " << *closenode;
#endif
// get segments attached to closest node closenode
int nseg = closenode->Nseg();
MOERTEL::Segment** segs = closenode->Segments();
// create a projection operator
MOERTEL::Projector projector(IsOneDimensional(),OutLevel());
// loop these segments and find best projection
double bestdist[2];
const double tol = 0.2;
double bestgap = 0.0, gap;
bestdist[0] = bestdist[1] = 1.0e+20;
MOERTEL::Segment* bestseg = NULL;
for (int i=0; i<nseg; ++i)
{
// project the master node on the slave segment along the segments interpolated normal field
double xi[2]; xi[0] = xi[1] = 0.0;
projector.ProjectNodetoSegment_SegmentNormal(*mnode,*(segs[i]),xi,gap);
// check whether xi is better then previous projections
if (IsOneDimensional())
{
if (abs(xi[0]) < abs(bestdist[0]))
{
bestdist[0] = xi[0];
bestdist[1] = xi[1];
bestseg = segs[i];
bestgap = gap;
}
}
else
{
double third = 1./3.;
// it's 'inside' with some tolerance
if ( xi[0]<=1.+tol && xi[1]<=abs(1.-xi[0])+tol && xi[0]>=0.-tol && xi[1]>=0.-tol )
{
// it's better in both directions
if ( sqrt((xi[0]-third)*(xi[0]-third)) < sqrt((bestdist[0]-third)*(bestdist[0]-third)) &&
sqrt((xi[1]-third)*(xi[1]-third)) < sqrt((bestdist[1]-third)*(bestdist[1]-third)) )
{
bestdist[0] = xi[0];
bestdist[1] = xi[1];
bestseg = segs[i];
bestgap = gap;
}
//it's better in one direction and 'in' in the other
else if ( (sqrt((xi[0]-third)*(xi[0]-third))<sqrt((bestdist[0]-third)*(bestdist[0]-third)) &&
xi[1]<=abs(1.-xi[0])+tol && xi[1]>=0.-tol ) ||
(sqrt((xi[1]-third)*(xi[1]-third))<sqrt((bestdist[1]-third)*(bestdist[1]-third)) &&
xi[0]<=1.+tol && xi[0]>=0.-tol ) )
{
bestdist[0] = xi[0];
bestdist[1] = xi[1];
bestseg = segs[i];
bestgap = gap;
}
}
}
} // for (int i=0; i<nseg; ++i)
// check whether the bestseg/bestdist are inside that segment
// (with some tolerance of 20%)
bool ok = false;
if (IsOneDimensional())
{
if (abs(bestdist[0]) < 1.1) ok = true;
}
else
{
if (bestdist[0]<=1.+tol && bestdist[1]<=abs(1.-bestdist[0])+tol &&
bestdist[0]>=0.-tol && bestdist[1]>=0.-tol)
ok = true;
}
if (ok) // the projection is good
{
// build the interpolated normal and overwrite the mnode normal with -n
int nsnode = bestseg->Nnode();
MOERTEL::Node** snodes = bestseg->Nodes();
std::vector<double> val(nsnode);
bestseg->EvaluateFunction(0,bestdist,&val[0],nsnode,NULL);
double NN[3]; NN[0] = NN[1] = NN[2] = 0.0;
for (int i=0; i<nsnode; ++i)
{
const double* N = snodes[i]->N();
for (int j=0; j<3; ++j)
NN[j] -= val[i]*N[j];
}
val.clear();
mnode->SetN(NN);
// create projected node and store it in mnode
MOERTEL::ProjectedNode* pnode
= new MOERTEL::ProjectedNode(*mnode,bestdist,bestseg);
mnode->SetProjectedNode(pnode);
mnode->SetGap(bestgap);
}
else // this mnode does not have a valid projection
{
if (OutLevel()>6)
cout << "MOERTEL: ***WRN***: Projection m->s: Node " << mnode->Id() << " does not have projection\n";
mnode->SetProjectedNode(NULL);
}
} // for (scurr=rnode_[mside].begin(); scurr!=rnode_[mside].end(); ++scurr)
// loop all master nodes again and make the projection and the new normal redundant
int bsize = 7*rnode_[mside].size();
std::vector<double> bcast(bsize);
for (int proc=0; proc<lComm()->NumProc(); ++proc)
{
int blength = 0;
if (proc==lComm()->MyPID())
{
for (mcurr=rnode_[mside].begin(); mcurr!=rnode_[mside].end(); ++mcurr)
{
Teuchos::RCP<MOERTEL::Node> mnode = mcurr->second;
if (proc != NodePID(mnode->Id())) continue; // cannot have a projection on a node i don't own
Teuchos::RCP<MOERTEL::ProjectedNode> pnode = mnode->GetProjectedNode();
if (pnode == Teuchos::null) continue; // this node does not have a projection
const double* xi = pnode->Xi();
const double* N = mnode->N();
bcast[blength] = (double)pnode->Id();
++blength;
if (pnode->Segment())
bcast[blength] = (double)pnode->Segment()->Id();
else
bcast[blength] = -0.1;
++blength;
bcast[blength] = xi[0];
++blength;
bcast[blength] = xi[1];
++blength;
bcast[blength] = N[0];
++blength;
bcast[blength] = N[1];
++blength;
bcast[blength] = N[2];
++blength;
bcast[blength] = pnode->Gap();
++blength;
}
if (blength > bsize)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField:\n"
<< "***ERR*** Overflow in communication buffer occured\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
}
lComm()->Broadcast(&blength,1,proc);
lComm()->Broadcast(&bcast[0],blength,proc);
if (proc!=lComm()->MyPID())
{
int i;
for (i=0; i<blength;)
{
int nid = (int)bcast[i]; ++i;
double sid = bcast[i]; ++i;
double* xi = &bcast[i]; ++i; ++i;
double* n = &bcast[i]; ++i; ++i; ++i;
double gap = bcast[i]; ++i;
Teuchos::RCP<MOERTEL::Node> mnode = GetNodeView(nid);
Teuchos::RCP<MOERTEL::Segment> seg = Teuchos::null;
if (sid != -0.1)
seg = GetSegmentView((int)sid);
if (mnode == Teuchos::null)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField:\n"
<< "***ERR*** Cannot get view of node\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
mnode->SetN(n);
MOERTEL::ProjectedNode* pnode = new MOERTEL::ProjectedNode(*mnode,xi,seg.get());
mnode->SetProjectedNode(pnode);
mnode->SetGap(gap);
}
if (i != blength)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField:\n"
<< "***ERR*** Mismatch in dimension of recv buffer\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
}
} // for (int proc=0; proc<lComm()->NumProc(); ++proc)
bcast.clear();
return true;
}
/*----------------------------------------------------------------------*
| mwgee 07/05|
| modded by gah 07/2010 |
*----------------------------------------------------------------------*/
bool MOERTEL::Projector::ProjectNodetoSegment_NodalNormal(MOERTEL::Node& node,
MOERTEL::Segment& seg, double xi[], double &gap)
{
bool ok = true;
// 2D version of the problem
if (IsTwoDimensional())
{
#if 0
std::cout << "----- Projector: Node " << node.Id() << " Segment " << seg.Id() << std::endl;
std::cout << "Segment\n" << seg;
MOERTEL::Node** nodes = seg.Nodes();
std::cout << *nodes[0];
std::cout << *nodes[1];
#endif
// we do a newton iteration for the projection coordinates xi
// set starting value to the middle of the segment
double eta = 0.0;
int i = 0;
double F=0.0,dF=0.0,deta=0.0;
for (i=0; i<10; ++i)
{
F = evaluate_F_2D_NodalNormal(node,seg,eta,gap);
if (abs(F) < 1.0e-10) break;
dF = evaluate_gradF_2D_NodalNormal(node,seg,eta);
deta = (-F)/dF;
eta += deta;
}
if (abs(F)>1.0e-9)
{
ok = false;
if (OutLevel()>3)
std::cout << "MOERTEL: ***WRN*** MOERTEL::Projector::ProjectNodetoSegment_NodalNormal:\n"
<< "MOERTEL: ***WRN*** Newton iteration failed to converge\n"
<< "MOERTEL: ***WRN*** #iterations = " << i << std::endl
<< "MOERTEL: ***WRN*** F(eta) = " << F << " gradF(eta) = "
<< dF << " eta = " << eta << " delta(eta) = " << deta << "\n"
<< "MOERTEL: ***WRN*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
}
#if 0
std::cout << "#iterations = " << i << " F = " << F << " eta = " << eta << std::endl;
#endif
xi[0] = eta;
return ok;
}
// 3D version of the problem
else
{
#if 0
std::cout << "----- Projector: Node " << node.Id() << " Segment " << seg.Id() << std::endl;
std::cout << "Segment " << seg;
MOERTEL::Node** nodes = seg.Nodes();
std::cout << *nodes[0];
std::cout << *nodes[1];
std::cout << *nodes[2];
#endif
// we do a newton iteration for the projection coordinates xi
// set starting value to the middle of the segment
double eta[2];
if (seg.Nnode()==3)
eta[0] = eta[1] = 1./3.;
else
eta[0] = eta[1] = 0.;
double alpha = 0.0;
int i=0;
double F[3], dF[3][3], deta[3];
double eps;
for (i=0; i<30; ++i)
{
evaluate_FgradF_3D_NodalNormal(F,dF,node,seg,eta,alpha,gap);
eps = MOERTEL::dot(F,F,3);
if (eps < 1.0e-10) break;
// std::cout << eps << std::endl;
MOERTEL::solve33(dF,deta,F);
eta[0] -= deta[0];
eta[1] -= deta[1];
alpha -= deta[2];
}
if (eps>1.0e-10)
{
ok = false;
if (OutLevel()>3)
std::cout << "MOERTEL: ***WRN*** MOERTEL::Projector::ProjectNodetoSegment_NodalNormal:\n"
<< "MOERTEL: ***WRN*** 3D Newton iteration failed to converge\n"
<< "MOERTEL: ***WRN*** #iterations = " << i << std::endl
<< "MOERTEL: ***WRN*** eps = " << eps << " eta[3] = " << eta[0] << "/" << eta[1] << "/" << alpha << "\n"
<< "MOERTEL: ***WRN*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
}
#if 0
if (i>10)
std::cout << "#iterations = " << i << " eps = " << eps << " eta = " << eta[0] << "/" << eta[1] << std::endl;
#endif
xi[0] = eta[0];
xi[1] = eta[1];
} //
return ok;
}
/*----------------------------------------------------------------------*
| mwgee 07/05|
| 2D case: |
| this method evaluates the function |
| gradF(eta) = |
| ( Ni,eta * xis ) * ( Nj nyjs ) |
| + ( Ni * xis - xm ) * ( Nj,eta * nyjs) |
| - ( Ni,eta * yis ) * ( Nj nxjs ) |
| - ( Ni * yis - ym ) * ( Nj,eta * nxjs) |
| with Ni,eta derivative of shape functions of segment |
| Ni,Nj shape functions of segment |
| xis,yis nodal coords of segment's nodes i (slave side) |
| xm,ym nodal coords of master node |
| nxjs,nyjs outward normals of node j (slave side) |
*----------------------------------------------------------------------*/
double MOERTEL::Projector::evaluate_gradF_2D_SegmentNormal(MOERTEL::Node& node,
MOERTEL::Segment& seg,
double eta)
{
// check the type of function on the segment
// Here, we need 1D functions set as function id 0
MOERTEL::Function::FunctionType type = seg.FunctionType(0);
if (type != MOERTEL::Function::func_Linear1D)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Projector::evaluate_gradF_2D_SegmentNormal:\n"
<< "***ERR*** function is of wrong type\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
// evaluate function and derivatives of the first function set on segment at eta
int nsnode = seg.Nnode();
double val[100];
double deriv[200];
seg.EvaluateFunction(0,&eta,val,nsnode,deriv);
// several intermediate data:
// Nx = Ni * xi
// Nxeta = Ni,eta * xi
// NN = Nj * nj
// NNeta = Nj,eta * nj
// get nodal coords and normals of nodes and interpolate them
double Nx[2]; Nx[0] = Nx[1] = 0.0;
double Nxeta[2]; Nxeta[0] = Nxeta[1] = 0.0;
double NN[2]; NN[0] = NN[1] = 0.0;
double NNeta[2]; NNeta[0] = NNeta[1] = 0.0;
MOERTEL::Node** snodes = seg.Nodes();
if (!snodes)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Projector::evaluate_gradF_2D_SegmentNormal:\n"
<< "***ERR*** segment " << seg.Id() << " ptr to it's nodes is zero\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
for (int i=0; i<nsnode; ++i)
{
const double* X = snodes[i]->X();
Nx[0] += val[i]*X[0];
Nx[1] += val[i]*X[1];
Nxeta[0] += deriv[i]*X[0];
Nxeta[1] += deriv[i]*X[1];
const double* N = snodes[i]->N();
NN[0] += val[i]*N[0];
NN[1] += val[i]*N[1];
NNeta[0] += deriv[i]*N[0];
NNeta[1] += deriv[i]*N[1];
}
// get master node coords
const double* xm = node.X();
// calculate gradF
double gradF = Nxeta[0]*NN[1] + (Nx[0] - xm[0])*NNeta[1]
- Nxeta[1]*NN[0] - (Nx[1] - xm[1])*NNeta[0];
return gradF;
}
/*----------------------------------------------------------------------*
| mwgee 07/05|
| modded gah 07/2010 |
| 2D case: |
| this function evaluates the function |
| F(eta) = ( Ni * xim - xs ) cross ns , |
| with Ni shape functions of segment |
| xim nodal coords of segment's nodes (master side) |
| xs nodal coords of node (slave side) |
| ns outward normal of node (slave side) |
*----------------------------------------------------------------------*/
double MOERTEL::Projector::evaluate_F_2D_NodalNormal(MOERTEL::Node& node,
MOERTEL::Segment& seg, double eta, double &gap)
{
// check the type of function on the segment
// Here, we need 1D functions set as function id 0
MOERTEL::Function::FunctionType type = seg.FunctionType(0);
if (type != MOERTEL::Function::func_Linear1D)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Projector::evaluate_F_2D_NodalNormal:\n"
<< "***ERR*** function is of wrong type\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
// evaluate the first function set on segment at eta
int nmnode = seg.Nnode();
double val[100];
seg.EvaluateFunction(0,&eta,val,nmnode,NULL);
// get nodal coords of nodes and interpolate them
double Nx[2];
Nx[0] = Nx[1] = 0.0;
MOERTEL::Node** mnodes = seg.Nodes();
if (!mnodes)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Projector::evaluate_F_2D_NodalNormal:\n"
<< "***ERR*** segment " << seg.Id() << " ptr to it's nodes is zero\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
// Here, Nx[0] and Nx[1] are the coordinates of the guess at the root
for (int i=0; i<nmnode; ++i)
{
const double* X = mnodes[i]->X();
Nx[0] += val[i]*X[0];
Nx[1] += val[i]*X[1];
}
// subtract xs (Coordinates of the slave node)
const double* X = node.X();
Nx[0] -= X[0];
Nx[1] -= X[1];
// get the normal of node
const double* n = node.N();
// calculate F
double F = Nx[0]*n[1] - Nx[1]*n[0];
gap = Nx[0] * n[0] + Nx[1] * n[1];
// Do we need to divide by the length of the normal??? GAH
//
// gap = (Nx[0] * n[0] + Nx[1] * n[1])
// / sqrt(n[0] * n[0] + n[1] * n[1]); // ||gap|| cos theta
#if 0
std::cout << "node " << node.Id() << " seg " << seg.Id() << " n[0] " << n[0] << " n[1] " << n[1] << std::endl;
std::cout << "X[0] " << X[0] << " X[1] " << X[1] << std::endl;
std::cout << "Nx[0] " << Nx[0] << " Nx[1] " << Nx[1] << " gap " << gap << std::endl;
std::cout << "norm " << sqrt(n[0] * n[0] + n[1] * n[1]) << std::endl;
#endif
return F;
}