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// ______ ______ _ _ _____ ______ |
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// | ____| ____| | (_)/ ____| | ____| |
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// | |__ | |__ | | _| (___ ___| |__ |
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// | __| | __| | | | |\___ \ / __| __| |
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// | | | |____| |____| |____) | (__| |____ |
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// |_| |______|______|_|_____/ \___|______| |
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// Finite Elements for Life Sciences and Engineering |
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// |
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// License: LGL2.1 License |
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// FELiScE default license: LICENSE in root folder |
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// |
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// Main authors: |
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// |
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// System includes |
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// External includes |
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// Project includes |
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#include "Solver/linearProblemNSHeat.hpp" |
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#include "FiniteElement/elementMatrix.hpp" |
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#include "FiniteElement/elementVector.hpp" |
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#include "DegreeOfFreedom/boundaryConditionList.hpp" |
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#include "DegreeOfFreedom/boundaryCondition.hpp" |
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namespace felisce{ |
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LinearProblemNSHeat::LinearProblemNSHeat():LinearProblemNS() { |
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if (FelisceParam::instance().exportP1Normal ) { |
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m_vecs.Init("measStar"); |
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m_seqVecs.Init("measStar"); |
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m_vecs.Init("normalField"); |
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m_seqVecs.Init("normalField"); |
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} |
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} |
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void LinearProblemNSHeat::initialize(std::vector<GeometricMeshRegion::Pointer>& mesh, FelisceTransient::Pointer fstransient, MPI_Comm& comm, bool doUseSNES) { |
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LinearProblemNS::initialize(mesh,fstransient,comm,doUseSNES); |
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m_iTemp = m_listVariable.getVariableIdList(temperature); |
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m_iUnknownTemp = m_listUnknown.getUnknownIdList(temperature); |
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m_gravity = FelisceParam::instance().gravity; |
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m_referenceTemperature = FelisceParam::instance().referenceTemperature; |
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m_t0 = FelisceParam::instance().initialTemperature; |
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m_coeffOfThermalExpansion = FelisceParam::instance().coeffOfThermalExpansion; |
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m_thermalDiffusion = FelisceParam::instance().thermalDiffusion; |
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} |
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void LinearProblemNSHeat::userAddOtherUnknowns(std::vector<PhysicalVariable>& listVariable, std::vector<std::size_t>& listNumComp) { |
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m_listUnknown.push_back(temperature); |
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listVariable.push_back(temperature); |
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listNumComp.push_back(1); |
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} |
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void LinearProblemNSHeat::initPerElementType(ElementType eltType, FlagMatrixRHS flagMatrixRHS) { |
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LinearProblemNS::initPerElementType(eltType,flagMatrixRHS); |
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m_feTemp = m_listCurrentFiniteElement[m_iTemp]; |
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m_elemFieldOldTemp.initialize(DOF_FIELD,*m_feTemp,1); |
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m_elemFieldAdvection.initialize(DOF_FIELD,*m_feVel,m_velocity->numComponent()); |
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FEL_ASSERT(m_gravity.size() == m_velocity->numComponent()); |
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} |
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void LinearProblemNSHeat::userElementInit() { |
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//By using m_elemFieldRHS, we automatically include this part in the SUPG stabilization |
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for (int i(0); i<this->dimension();++i) { |
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m_elemFieldRHS.setValue( m_density*(1 + m_coeffOfThermalExpansion*m_referenceTemperature)*m_gravity[i] , i ); |
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} |
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} |
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void LinearProblemNSHeat::userElementInitNaturalBoundaryCondition() { |
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m_curvFeVel=m_listCurvilinearFiniteElement[m_iVelocity]; |
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m_stevino.initialize(DOF_FIELD,*m_curvFeVel,1); |
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} |
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void LinearProblemNSHeat::computeElementArray(const std::vector<Point*>& elemPoint, const std::vector<felInt>& elemIdPoint, felInt& iel, FlagMatrixRHS flagMatrixRHS) { |
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LinearProblemNS::computeElementArray(elemPoint,elemIdPoint,iel,flagMatrixRHS); |
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m_feTemp->updateFirstDeriv(0, elemPoint); |
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std::size_t temperatureBlock = m_velocity->numComponent() + 1; |
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std::size_t timeCoeff = 1./m_fstransient->timeStep; |
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if ( flagMatrixRHS == FlagMatrixRHS::matrix_and_rhs || flagMatrixRHS == FlagMatrixRHS::only_matrix ) { |
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if (m_fstransient->iteration == 0) { |
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std::size_t idMatrix = 1; |
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//mass |
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m_elementMat[idMatrix]->phi_i_phi_j(timeCoeff, *m_feTemp, temperatureBlock, temperatureBlock, 1); |
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//Diffusion |
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m_elementMat[idMatrix]->grad_phi_i_grad_phi_j(m_thermalDiffusion, *m_feTemp, temperatureBlock, temperatureBlock, 1); |
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//Gravity term |
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//We assume that we use the same finite element for velocity and temperature. |
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//If it is not the case, we have to add another function to elementMatrix |
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for (int i(0); i<this->dimension();++i) { |
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// +\rho_0*\alpha*\vec g T |
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m_elementMat[idMatrix]->phi_i_phi_j(m_density*m_coeffOfThermalExpansion*m_gravity[i],*m_feVel, i, m_velocity->numComponent()+1,1); |
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} |
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} |
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//Advection |
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m_elemFieldAdvection.setValue(m_solExtrapol, *m_feVel, iel, m_iVelocity, m_ao, dof()); |
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m_elementMat[0]->u_grad_phi_j_phi_i(1.,m_elemFieldAdvection,*m_feTemp, temperatureBlock, temperatureBlock, 1); |
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//SUPG stabilization extra terms, the extra terms due to the non-zero rhs are correctly handled in linearProblemNS::computeElementArray() |
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if ( m_velocity->finiteElementType() == m_pressure->finiteElementType()) { |
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m_elementMat[0]->stab_supgNSHeat(m_fstransient->timeStep,FelisceParam::instance().stabSUPG,m_coeffOfThermalExpansion,m_density,m_viscosity, |
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*m_feVel, m_elemFieldAdvection, FelisceParam::instance().typeSUPG, m_gravity); |
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} |
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if ( flagMatrixRHS == FlagMatrixRHS::matrix_and_rhs || flagMatrixRHS == FlagMatrixRHS::only_rhs ) { |
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// Advancing in time |
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if ( m_fstransient->iteration == 1 ) { |
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m_elemFieldOldTemp.setValue(m_t0,0); |
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} |
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else { |
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m_elemFieldOldTemp.setValue(this->sequentialSolution(),*m_feTemp, iel, m_iTemp, m_ao, dof());//TODO in case of fix point iterations this has to be modified |
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} |
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m_elementVector[0]->source(timeCoeff,*m_feTemp,m_elemFieldOldTemp,m_velocity->numComponent()+1,1); |
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// Velocity force term |
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// +\rho_0*\vec g(1-\alpha*TRef) |
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m_elementVector[0]->source(1., *m_feVel, m_elemFieldRHS,0,m_velocity->numComponent()); |
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} |
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} |
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} |
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void LinearProblemNSHeat::userElementComputeNaturalBoundaryCondition(const std::vector<Point*>& elemPoint, const std::vector<felInt>& /*elemIdPoint*/,felInt& /*ielSupportDof*/, int /*label*/) { |
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// Check we are in the labels where the addition of the hydrostatic pressure (Stevino Pressure) is required. |
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if ( std::find( FelisceParam::instance().stevinoLabels.begin(), FelisceParam::instance().stevinoLabels.end(), m_currentLabel) != FelisceParam::instance().stevinoLabels.end() ) { |
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// We assume that, on this label, constant in time and space Dirichlet boundary condition is imposed on the Temperature. |
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// We need this value to correctly compute the Stevino pressure. |
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// |
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// We loop over the boundary conditions to check the assumptions and to get the value |
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BoundaryCondition* bc = nullptr; |
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double value(0); |
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bool foundACorrectBC = false; |
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for ( int iDirBC(0); (std::size_t)iDirBC<m_boundaryConditionList.numDirichletBoundaryCondition(); ++iDirBC) { |
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// Get the current Dirichlet boundary condition. |
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bc=m_boundaryConditionList.Dirichlet(iDirBC); |
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// Check that it is about the temperature |
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if ( (std::size_t)bc->getUnknown() == m_iUnknownTemp ) { |
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// Get the labels and check that this bc actually concerns the currentLabel |
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const auto& lab = bc->listLabel(); |
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if ( std::find( lab.begin(), lab.end(), m_currentLabel) != lab.end() ) { |
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// Check the type of BC is constant |
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if ( bc->typeValueBC() != Constant ) { |
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FEL_ERROR("Hydrostatic (Stevino) pressure is not yet available for non-constant Dirichlet boundary condition for the temperature"); |
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} else { |
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// We can take the value |
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value = bc->ValueBCInSupportDof()[0]; |
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foundACorrectBC = true; |
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} |
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} |
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} |
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} |
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if ( ! foundACorrectBC ) { |
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std::stringstream msg; |
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msg<<"For some reasons, it was impossible to apply the Stevino pressure on label: "<<m_currentLabel<<std::endl; |
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FEL_ERROR(msg.str().c_str()); |
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} |
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// Filling of the elementField |
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for ( int idof(0); idof<m_curvFeVel->numDof(); idof++) { |
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if ( (std::size_t)idof < elemPoint.size() ) { |
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m_stevino.val(0,idof)=0; |
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for ( int icoor(0); icoor<this->dimension(); ++icoor ) { |
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m_stevino.val(0,idof) += ( elemPoint[idof]->coor(icoor) - m_zedZeroStevino[icoor] )*m_gravity[icoor]; |
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} |
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} else { |
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if ( this->dimension() == 2 ) { |
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// We are dealing with an edge is 1D, and we are using P2 finite-elements. idof must be equal to 2 |
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FEL_ASSERT(idof==2); |
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// We don't have a point for this dof, but it simply the middle point |
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m_stevino.val(0,idof) = ( 0.5 * elemPoint[0]->x() + 0.5 * elemPoint[1]->x() - m_zedZeroStevino[0] )*m_gravity[0] |
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+( 0.5 * elemPoint[0]->y() + 0.5 * elemPoint[1]->y() - m_zedZeroStevino[1] )*m_gravity[1]; |
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} else { |
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FEL_ERROR("Hydrostatic (Stevino) pressure not yet available for 3D-P2 finite-elements."); |
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} |
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} |
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} |
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// Adding it as a force term |
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m_elementVectorBD[0]->f_phi_i_scalar_n( - m_density * ( 1. - m_coeffOfThermalExpansion * ( value - m_referenceTemperature ) ),*m_curvFeVel,m_stevino,0/*iblockVel*/); |
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} |
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} |
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} |
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