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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: Julien Castelneau, Dominique Chapelle, Miguel Fernandez |
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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 "NSContinuationModel.hpp" |
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namespace felisce { |
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NSContinuationModel::NSContinuationModel():Model() { |
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m_name = "NSContinuation"; |
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} |
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// Called in Model::initializeLinearProblem, just after the mesh partitioning. |
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void NSContinuationModel::initializeDerivedModel() { |
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// get the linearProblem for continuation; m_linearProblem[0] = continuation and m_linearProblem[1] = harmonic extension |
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m_lpb = static_cast<LinearProblemNSContinuation*>(m_linearProblem[0]); |
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m_tau = 1./(m_fstransient->timeStep); |
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// Initializing the PetscVectors |
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m_lpb->initPetscVectors(); |
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// Initialize the displacement vector |
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if( m_lpb->dimension()==2) |
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{ |
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m_disp.duplicateFrom(m_lpb->vector()); |
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m_disp.zeroEntries(); |
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} |
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if( FelisceParam::instance(instanceIndex()).useALEformulation ) |
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{ |
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// ALE |
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m_numDofExtensionProblem = m_linearProblem[1]->numDof(); |
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m_dispMeshVector.resize( m_linearProblem[1]->supportDofUnknown(0).listNode().size() * m_linearProblem[1]->meshLocal()->numCoor() ); |
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m_petscToGlobal.resize(m_numDofExtensionProblem); |
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for (int ipg=0; ipg< m_numDofExtensionProblem; ipg++) |
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m_petscToGlobal[ipg] = ipg; |
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AOApplicationToPetsc(m_linearProblem[1]->ao(),m_numDofExtensionProblem,m_petscToGlobal.data()); |
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} |
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} |
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void NSContinuationModel::setExternalVec() { |
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// ALE |
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if( FelisceParam::instance(instanceIndex()).useALEformulation ) |
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{ |
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// Initialization of the std::vector containing the displacement of the mesh d^{n}, sequential std::vector |
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m_dispMesh.duplicateFrom(m_linearProblem[1]->sequentialSolution()); |
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m_dispMesh.zeroEntries(); |
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// Initialization of the std::vector containing the velocity of the mesh w, sequential std::vector |
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m_velMesh.duplicateFrom(m_linearProblem[1]->sequentialSolution()); |
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m_velMesh.zeroEntries(); |
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// Passing the ao and dof |
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m_lpb->pushBackExternalAO(m_linearProblem[1]->ao()); |
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m_lpb->pushBackExternalDof(m_linearProblem[1]->dof()); |
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// Passing the velocity of the mesh to the NS problem |
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m_lpb->pushBackExternalVec(m_velMesh); //externalVec(0) in m_lpb |
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// Resizing the auxiliary vectors needed in updateMesh() |
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m_tmpDisp.resize(m_numDofExtensionProblem); |
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m_displTimeStep = 0.; |
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} |
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if(m_lpb->dimension()==2) |
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{ |
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m_dispSeq.createSeq(PETSC_COMM_SELF, m_lpb->numDof()); |
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m_dispSeq.set(0.); |
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m_lpb->pushBackExternalVec(m_dispSeq); //externalVec(1) if in 2D |
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} |
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} |
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void NSContinuationModel::preAssemblingMatrixRHS(std::size_t iProblem) { |
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if(iProblem == 0) { |
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m_linearProblem[0]->solution().zeroEntries(); |
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} |
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//========= |
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// ALE |
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//========= |
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if( FelisceParam::instance(instanceIndex()).useALEformulation ) { |
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if ( ( iProblem == 1 ) && ( !FelisceParam::instance(instanceIndex()).useElasticExtension ) ) { |
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// First assembly loop in iteration 0 to build static matrix of the extension problem |
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m_linearProblem[1]->assembleMatrixRHS(MpiInfo::rankProc()); |
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// Save the static part of the extension problem in the matrix _A |
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m_linearProblem[1]->copyMatrixRHS(); |
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} |
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} |
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} |
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//! The main purpose of this function is to sum the constant and the non constant matrices |
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void NSContinuationModel::postAssemblingMatrixRHS(std::size_t iProblem) { |
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// matrix(0) = matrix(0) + matrix(1) (add static matrix to the dynamic matrix to build complete matrix of the system ) |
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m_linearProblem[iProblem]->addMatrixRHS(); |
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} |
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void NSContinuationModel::prepareForward() { |
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writeSolution(); |
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updateTime(); //Here the matrix(0), the non constant one, is cleared and the rhs also. |
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printNewTimeIterationBanner(); |
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m_lpb->gatherVectorBeforeAssembleMatrixRHS(); |
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m_lpb->readVelocityData(*io(), m_fstransient->time); |
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computeALEterms(); // if no ALE, it does not compute the displacement |
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} |
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void NSContinuationModel::solveContinuation() { |
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const auto& r_felisce_param_instance = FelisceParam::instance(instanceIndex()); |
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m_lpb->solution().zeroEntries(); |
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//Steps corresponding to solveNS() |
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if( FelisceParam::instance(instanceIndex()).useALEformulation ) |
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m_lpb->meshLocal()->moveMesh(m_dispMeshVector,0.0); |
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//Apply boundary conditions for the continuation problem in the reference mesh configuration |
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m_lpb->finalizeEssBCTransient(); |
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m_lpb->applyBC(r_felisce_param_instance.essentialBoundaryConditionsMethod, MpiInfo::rankProc()); |
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if( FelisceParam::instance(instanceIndex()).useALEformulation ) |
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m_lpb->meshLocal()->moveMesh(m_dispMeshVector,1.0); |
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// Solve the linear system |
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m_lpb->solve(MpiInfo::rankProc(), MpiInfo::numProc()); |
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/*if(m_lpb->dimension() == 2) |
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{ |
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m_disp.axpy(m_fstransient->timeStep, m_lpb->solution()); |
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m_lpb->gatherVector(m_disp, m_dispSeq); |
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} */ |
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// Gather the velocity |
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m_lpb->gatherSolution(); |
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} |
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void NSContinuationModel::forward() { |
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prepareForward(); |
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solveContinuation(); |
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} |
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// *********************** ALE ************************************************* |
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void NSContinuationModel::computeALEterms() { |
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// Assemble the RHS in the previous mesh configuration |
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m_lpb->assembleMatrixRHS(MpiInfo::rankProc(), FlagMatrixRHS::only_rhs); |
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if( FelisceParam::instance(instanceIndex()).useALEformulation ) |
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UpdateMeshByDisplacement(); |
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m_lpb->assembleCIPStabilization(); |
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// Assemble the matrix in the current mesh configuration |
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m_lpb->assembleMatrixRHS(MpiInfo::rankProc(), FlagMatrixRHS::matrix_and_rhs); |
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} |
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void NSContinuationModel::UpdateMeshByDisplacement() { |
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// Get the previous displacement |
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m_velMesh.copyFrom(m_dispMesh); |
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if( FelisceParam::instance(instanceIndex()).useALEformulation ) { |
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// Solve the harmonic extension problem |
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solveHarmExt(); |
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m_linearProblem[1]->gatherSolution(); |
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} |
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updateMesh(); // current displacement m_dispMesh |
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// Update the mesh velocity; VecAXPBY(Vec y,PetscScalar a,PetscScalar b,Vec x); -> y=a∗x+b∗y |
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m_velMesh.axpby(-m_tau,m_tau,m_dispMesh); |
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// Result: m_velMesh = -w^{n} = \dfrac{1}{\dt} (-d^{n} + d^{n-1}) |
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} |
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void NSContinuationModel::solveHarmExt() { |
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PetscPrintf(MpiInfo::petscComm(),"Solve harmonic extension\n"); |
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//Assemble matrix and RHS |
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m_linearProblem[1]->assembleMatrixRHS(MpiInfo::rankProc()); |
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//Specific operations before solving the system |
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postAssemblingMatrixRHS(1); |
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//Apply essential transient boundary conditions |
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m_linearProblem[1]->finalizeEssBCTransient(); |
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m_linearProblem[1]->applyBC(FelisceParam::instance(instanceIndex()).essentialBoundaryConditionsMethod, MpiInfo::rankProc()); |
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//Solve the linear system |
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m_linearProblem[1]->solve(MpiInfo::rankProc(), MpiInfo::numProc()); |
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} |
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void NSContinuationModel::updateMesh() { |
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PetscPrintf(MpiInfo::petscComm(),"Update mesh\n"); |
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// Get the displacement from the harmonic extension |
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m_dispMesh.copyFrom(m_linearProblem[1]->sequentialSolution()); |
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// Extract the values of m_dispMesh and put them in the std::vector m_dispMeshVector according to the application ordering of the nodes |
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m_dispMesh.getValues(m_numDofExtensionProblem, m_petscToGlobal.data(), m_tmpDisp.data()); |
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m_dispMeshVector = m_tmpDisp; |
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//Move the mesh in the fluid problem |
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m_lpb->meshLocal()->moveMesh(m_dispMeshVector,1.0); |
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} |
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// Compute the L2-error and append to file [Temporary implementation] |
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} |
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