[cig-commits] r6474 - short/3D/PyLith/trunk/libsrc/feassemble

willic3 at geodynamics.org willic3 at geodynamics.org
Fri Mar 30 13:06:05 PDT 2007


Author: willic3
Date: 2007-03-30 13:06:04 -0700 (Fri, 30 Mar 2007)
New Revision: 6474

Added:
   short/3D/PyLith/trunk/libsrc/feassemble/ImplicitElasticity.cc
Log:
Initial version based on ExplicitElasticity.cc.
So far only body force contributions to residual force vector are included.


Added: short/3D/PyLith/trunk/libsrc/feassemble/ImplicitElasticity.cc
===================================================================
--- short/3D/PyLith/trunk/libsrc/feassemble/ImplicitElasticity.cc	2007-03-30 18:22:34 UTC (rev 6473)
+++ short/3D/PyLith/trunk/libsrc/feassemble/ImplicitElasticity.cc	2007-03-30 20:06:04 UTC (rev 6474)
@@ -0,0 +1,370 @@
+// -*- C++ -*-
+//
+// ======================================================================
+//
+//                           Brad T. Aagaard
+//                        U.S. Geological Survey
+//
+// {LicenseText}
+//
+// ======================================================================
+//
+
+#include <portinfo>
+
+#include "ImplicitElasticity.hh" // implementation of class methods
+
+#include "Quadrature.hh" // USES Quadrature
+#include "pylith/materials/ElasticMaterial.hh" // USES ElasticMaterial
+
+#include "petscmat.h" // USES PetscMat
+#include "spatialdata/spatialdb/SpatialDB.hh"
+
+#include <assert.h> // USES assert()
+#include <stdexcept> // USES std::runtime_error
+
+// ----------------------------------------------------------------------
+// Constructor
+pylith::feassemble::ImplicitElasticity::ImplicitElasticity(void) :
+  _material(0)
+{ // constructor
+} // constructor
+
+// ----------------------------------------------------------------------
+// Destructor
+pylith::feassemble::ImplicitElasticity::~ImplicitElasticity(void)
+{ // destructor
+  delete _material; _material = 0;
+} // destructor
+  
+// ----------------------------------------------------------------------
+// Copy constructor.
+pylith::feassemble::ImplicitElasticity::ImplicitElasticity(const ImplicitElasticity& i) :
+  IntegratorImplicit(i),
+  _material(0)
+{ // copy constructor
+  if (0 != i._material)
+    _material = i._material->clone();
+} // copy constructor
+
+// ----------------------------------------------------------------------
+// Set material.
+void
+pylith::feassemble::ImplicitElasticity::material(
+				       const materials::ElasticMaterial* m)
+{ // material
+  delete _material; _material = (0 != m) ? m->clone() : 0;
+} // material
+
+// ----------------------------------------------------------------------
+// Integrate residual term (b) for quasi-static elasticity term for 3-D
+// finite elements. This is the contribution from element internal forces.
+void
+pylith::feassemble::ImplicitElasticity::integrateResidual(
+			      const ALE::Obj<real_section_type>& b,
+			      const ALE::Obj<real_section_type>& dispT,
+			      const ALE::Obj<real_section_type>& grav,
+			      const ALE::Obj<real_section_type>& coordinates)
+{ // integrateResidual
+  assert(0 != _quadrature);
+
+  // Get information about section
+  const topology_type::patch_type patch = 0;
+  const ALE::Obj<topology_type>& topology = dispT->getTopology();
+  const ALE::Obj<topology_type::label_sequence>& cells = 
+    topology->heightStratum(patch, 0);
+  const topology_type::label_sequence::iterator cellsEnd = cells->end();
+
+  // Allocate vector for cell values (if necessary)
+  _initCellVector();
+
+  // Get cell geometry information that doesn't depend on cell
+  const int numQuadPts = _quadrature->numQuadPts();
+  const double* quadWts = _quadrature->quadWts();
+  const int numBasis = _quadrature->numCorners();
+  const int spaceDim = _quadrature->spaceDim();
+  const int cellDim = _quadrature->cellDim();
+
+  for (topology_type::label_sequence::iterator cellIter=cells->begin();
+       cellIter != cellsEnd;
+       ++cellIter) {
+    // Compute geometry information for current cell
+    _quadrature->computeGeometry(coordinates, *cellIter);
+
+    // Reset element vector to zero
+    _resetCellVector();
+
+    // Restrict input fields to cell
+    const real_section_type::value_type* dispTCell = 
+      dispT->restrict(patch, *cellIter);
+
+    // Get cell geometry information that depends on cell
+    const double* basis = _quadrature->basis();
+    const double* basisDeriv = _quadrature->basisDeriv();
+    const double* jacobianDet = _quadrature->jacobianDet();
+
+    // Get material physical properties at quadrature points for this cell
+    _material->calcProperties(*cellIter, patch, numQuadPts);
+    const double* density = _material->density();
+    const double* elasticConsts = _material->elasticConsts();
+    const int numElasticConsts = _material->numElasticConsts();
+
+    // Compute action for cell
+
+    // Compute action for element body forces
+    if (!grav.isNull()) {
+      const read_section_type::value_type* gravCell =
+	grav->restrict(patch, cell);
+      for (int iQuad=0; iQuad < numQuadPts; ++iQuad) {
+	const double wt = quadWts[iQuad] * jacobianDet[iQuad] * density[iQuad];
+	for (int iBasis=0, iQ=iQuad*numBasis; iBasis < numBasis; ++iBasis) {
+	  const int iBlock = iBasis * spaceDim;
+	  const double valI = wt*basis[iQ+iBasis];
+	  for (int iDim=0; iDim < spaceDim; ++iDim) {
+	    _cellVector[iBlock+iDim] += valI*gravCell[iDim];
+	  } // for
+	} // for
+      } // for
+      PetscErrorCode err =
+	PetscLogFlops(numQuadPts*(2+numBasis*(2+2*spaceDim)));
+      if (err)
+	throw std::runtime_error("Logging PETSc flops failed.");
+    } // if
+	      
+    // Compute action for element internal forces
+
+
+    
+    /** :TODO:
+     *
+     * If cellDim and spaceDim are different, we need to transform
+     * displacements into cellDim, compute action, and transform
+     * result back into spaceDim. Can we get this from the inverse of
+     * the Jacobian?
+     */
+    if (cellDim != spaceDim)
+      throw std::logic_error("Not implemented yet.");
+
+    // Compute action for elastic terms
+    if (1 == cellDim) {
+      assert(1 == numElasticConsts);
+      for (int iQuad=0; iQuad < numQuadPts; ++iQuad) {
+	const double wt = quadWts[iQuad] * jacobianDet[iQuad];
+	const double C1111 = elasticConsts[iQuad];
+	for (int iBasis=0, iQ=iQuad*numBasis; iBasis < numBasis; ++iBasis) {
+	  const int iBlock = iBasis * spaceDim;
+	  const double valI = wt*basisDeriv[iQ+iBasis]*C1111;
+	  for (int jBasis=0; jBasis < numBasis; ++jBasis) {
+	    const int jBlock = jBasis * spaceDim;
+	    const double valIJ = valI * basisDeriv[iQ+jBasis];
+	    _cellVector[iBlock] -= valIJ * dispTCell[jBlock];
+	  } // for
+	} // for
+      } // for      
+      PetscErrorCode err = 
+	PetscLogFlops(numQuadPts*(1+numBasis*(2+numBasis*3)));
+      if (err)
+	throw std::runtime_error("Logging PETSc flops failed.");
+    } else if (2 == cellDim) {
+      assert(6 == numElasticConsts);
+      for (int iQuad=0; iQuad < numQuadPts; ++iQuad) {
+	const double wt = quadWts[iQuad] * jacobianDet[iQuad];
+	const int iConst = iQuad*numElasticConsts;
+	const double C1111 = elasticConsts[iConst+0];
+	const double C1122 = elasticConsts[iConst+1];
+	const double C1112 = elasticConsts[iConst+2];
+	const double C2222 = elasticConsts[iConst+3];
+	const double C2212 = elasticConsts[iConst+4];
+	const double C1212 = elasticConsts[iConst+5];
+	for (int iBasis=0, iQ=iQuad*numBasis; iBasis < numBasis; ++iBasis) {
+	  const int iBlock = iBasis * spaceDim;
+	  const double Nip = wt*basisDeriv[iQ+iBasis*cellDim+0];
+	  const double Niq = wt*basisDeriv[iQ+iBasis*cellDim+1];
+	  for (int jBasis=0; jBasis < numBasis; ++jBasis) {
+	    const int jBlock = jBasis * spaceDim;
+	    const double Njp = basisDeriv[iQ+jBasis*cellDim+0];
+	    const double Njq = basisDeriv[iQ+jBasis*cellDim+1];
+	    const double ki0j0 = 
+	      C1111 * Nip * Njp + C1112 * Niq * Njp +
+	      C1112 * Nip * Njq + C1212 * Niq * Njq;
+	    const double ki0j1 =
+	      C1122 * Nip * Njq + C2212 * Niq * Njq +
+	      C1112 * Nip * Njp + C1212 * Niq * Njp;
+	    const double ki1j1 =
+	      C2222 * Niq * Njq + C2212 * Nip * Njq +
+	      C2212 * Niq * Njp + C1212 * Nip * Njp;
+	    _cellVector[iBlock  ] -=
+	      ki0j0 * dispTCell[jBlock  ] + ki0j1 * dispTCell[jBlock+1];
+	    _cellVector[iBlock+1] -=
+	      ki0j1 * dispTCell[jBlock  ] + ki1j1 * dispTCell[jBlock+1];
+	  } // for
+	} // for
+      } // for
+      PetscErrorCode err = 
+	PetscLogFlops(numQuadPts*(1+numBasis*(2+numBasis*(2+3*11+2*4))));
+      if (err)
+	throw std::runtime_error("Logging PETSc flops failed.");
+    } else if (3 == cellDim) {
+      assert(21 == numElasticConsts);
+      for (int iQuad=0; iQuad < numQuadPts; ++iQuad) {
+	const double wt = quadWts[iQuad] * jacobianDet[iQuad];
+	const int iConst = iQuad*numElasticConsts;
+	const double C1111 = elasticConsts[iConst+ 0];
+	const double C1122 = elasticConsts[iConst+ 1];
+	const double C1133 = elasticConsts[iConst+ 2];
+	const double C1112 = elasticConsts[iConst+ 3];
+	const double C1123 = elasticConsts[iConst+ 4];
+	const double C1113 = elasticConsts[iConst+ 5];
+	const double C2222 = elasticConsts[iConst+ 6];
+	const double C2233 = elasticConsts[iConst+ 7];
+	const double C2212 = elasticConsts[iConst+ 8];
+	const double C2223 = elasticConsts[iConst+ 9];
+	const double C2213 = elasticConsts[iConst+10];
+	const double C3333 = elasticConsts[iConst+11];
+	const double C3312 = elasticConsts[iConst+12];
+	const double C3323 = elasticConsts[iConst+13];
+	const double C3313 = elasticConsts[iConst+14];
+	const double C1212 = elasticConsts[iConst+15];
+	const double C1223 = elasticConsts[iConst+16];
+	const double C1213 = elasticConsts[iConst+17];
+	const double C2323 = elasticConsts[iConst+18];
+	const double C2313 = elasticConsts[iConst+19];
+	const double C1313 = elasticConsts[iConst+20];
+	for (int iBasis=0, iQ=iQuad*numBasis; iBasis < numBasis; ++iBasis) {
+	  const int iBlock = iBasis * spaceDim;
+	  const double Nip = wt*basisDeriv[iQ+iBasis*cellDim+0];
+	  const double Niq = wt*basisDeriv[iQ+iBasis*cellDim+1];
+	  const double Nir = wt*basisDeriv[iQ+iBasis*cellDim+2];
+	  for (int jBasis=0; jBasis < numBasis; ++jBasis) {
+	    const int jBlock = jBasis * spaceDim;
+	    const double Njp = basisDeriv[iQ+jBasis*cellDim+0];
+	    const double Njq = basisDeriv[iQ+jBasis*cellDim+1];
+	    const double Njr = basisDeriv[iQ+jBasis*cellDim+2];
+	    const double ki0j0 = 
+	      C1111 * Nip * Njp + C1112 * Niq * Njp + C1113 * Nir * Njp +
+	      C1112 * Nip * Njq + C1212 * Niq * Njq + C1213 * Nir * Njq +
+	      C1113 * Nip * Njr + C1213 * Niq * Njr + C1313 * Nir * Njr;
+	    const double ki0j1 =
+	      C1122 * Nip * Njq + C2212 * Niq * Njq + C2213 * Nir * Njq +
+	      C1112 * Nip * Njp + C1212 * Niq * Njp + C1213 * Nir * Njp +
+	      C1123 * Nip * Njr + C1223 * Niq * Njr + C2313 * Nir * Njr;
+	    const double ki0j2 =
+	      C1133 * Nip * Njr + C3312 * Niq * Njr + C3313 * Nir * Njr +
+	      C1123 * Nip * Njq + C1223 * Niq * Njq + C2313 * Nir * Njq +
+	      C1113 * Nip * Njp + C1213 * Niq * Njp + C1313 * Nir * Njp;
+	    const double ki1j1 =
+	      C2222 * Niq * Njq + C2212 * Nip * Njq + C2223 * Nir * Njq +
+	      C2212 * Niq * Njp + C1212 * Nip * Njp + C1223 * Nir * Njp +
+	      C2223 * Niq * Njr + C1223 * Nip * Njr + C2323 * Nir * Njr;
+	    const double ki1j2 =
+	      C2233 * Niq * Njr + C3312 * Nip * Njr + C3323 * Nir * Njr +
+	      C2223 * Niq * Njq + C1223 * Nip * Njq + C2323 * Nir * Njq +
+	      C2213 * Niq * Njp + C1213 * Nip * Njp + C2313 * Nir * Njp;
+	    const double ki2j2 =
+	      C3333 * Nir * Njr + C3323 * Niq * Njr + C3313 * Nip * Njr +
+	      C3323 * Nir * Njq + C2323 * Niq * Njq + C2313 * Nip * Njq +
+	      C3313 * Nir * Njp + C2313 * Niq * Njp + C1313 * Nip * Njp;
+
+	    _cellVector[iBlock  ] -=
+	      ki0j0 * dispTCell[jBlock  ] + 
+	      ki0j1 * dispTCell[jBlock+1] +
+	      ki0j2 * dispTCell[jBlock+2];
+	    _cellVector[iBlock+1] -=
+	      ki0j1 * dispTCell[jBlock  ] + 
+	      ki1j1 * dispTCell[jBlock+1] +
+	      ki1j2 * dispTCell[jBlock+2];
+	    _cellVector[iBlock+2] -=
+	      ki0j2 * dispTCell[jBlock  ] + 
+	      ki1j2 * dispTCell[jBlock+1] +
+	      ki2j2 * dispTCell[jBlock+2];
+	  } // for
+	} // for
+      } // for
+      PetscErrorCode err = 
+	PetscLogFlops(numQuadPts*(1+numBasis*(3+numBasis*(3+6*26+3*6))));
+      if (err)
+	throw std::runtime_error("Logging PETSc flops failed.");
+    } // if/else
+
+    // Assemble cell contribution into field
+    b->updateAdd(patch, *cellIter, _cellVector);
+  } // for
+} // integrateConstant
+
+// ----------------------------------------------------------------------
+// Compute matrix associated with operator.
+void
+pylith::feassemble::ExplicitElasticity::integrateJacobian(
+			     PetscMat* mat,
+			     const ALE::Obj<real_section_type>& dispT,
+			     const ALE::Obj<real_section_type>& coordinates)
+{ // integrateJacobian
+  assert(0 != _quadrature);
+
+  // Get information about section
+  const topology_type::patch_type patch = 0;
+  const ALE::Obj<topology_type>& topology = dispT->getTopology();
+  const ALE::Obj<topology_type::label_sequence>& cells = 
+    topology->heightStratum(patch, 0);
+  const topology_type::label_sequence::iterator cellsEnd = cells->end();
+
+  // Get parameters used in integration.
+  const double dt = _dt;
+  const double dt2 = dt*dt;
+
+  // Allocate vector for cell values (if necessary)
+  _initCellMatrix();
+
+  // Get cell geometry information that doesn't depend on cell
+  const int numQuadPts = _quadrature->numQuadPts();
+  const double* quadWts = _quadrature->quadWts();
+  const int numBasis = _quadrature->numCorners();
+  const int spaceDim = _quadrature->spaceDim();
+  for (topology_type::label_sequence::iterator cellIter=cells->begin();
+       cellIter != cellsEnd;
+       ++cellIter) {
+    // Compute geometry information for current cell
+    _quadrature->computeGeometry(coordinates, *cellIter);
+
+    // Reset element vector to zero
+    _resetCellMatrix();
+
+    // Get cell geometry information that depends on cell
+    const double* basis = _quadrature->basis();
+    const double* jacobianDet = _quadrature->jacobianDet();
+
+    // Get material physical properties at quadrature points for this cell
+    _material->calcProperties(*cellIter, patch, numQuadPts);
+    const double* density = _material->density();
+
+    // Compute Jacobian for cell
+
+    // Compute Jacobian for inertial terms
+    for (int iQuad=0; iQuad < numQuadPts; ++iQuad) {
+      const double wt = 
+	quadWts[iQuad] * jacobianDet[iQuad] * density[iQuad] / dt2;
+      for (int iBasis=0, iQ=iQuad*numBasis; iBasis < numBasis; ++iBasis) {
+        const int iBlock = (iBasis * spaceDim) * (spaceDim * numBasis);
+        const double valI = wt*basis[iQ+iBasis];
+        for (int jBasis=0; jBasis < numBasis; ++jBasis) {
+          const int jBlock = (jBasis * spaceDim);
+          const double valIJ = valI * basis[iQ+jBasis];
+          for (int iDim=0; iDim < spaceDim; ++iDim)
+            _cellMatrix[iBlock+jBlock+iDim*spaceDim+iDim] += valIJ;
+        } // for
+      } // for
+    } // for
+    PetscErrorCode err = 
+      PetscLogFlops(numQuadPts*(3+numBasis*(1+numBasis*(1+spaceDim))));
+    if (err)
+      throw std::runtime_error("Logging PETSc flops failed.");
+    
+    // Assemble cell contribution into field
+    err = assembleMatrix(*mat, *cellIter, _cellMatrix, ADD_VALUES);
+    if (err)
+      throw std::runtime_error("Update to PETSc Mat failed.");
+  } // for
+} // integrateJacobian
+
+
+// End of file 



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