void MovingVortices::calcInitCond(MeshManager &meshManager, MeshAdaptor &meshAdaptor, TracerManager &tracerManager) { // ------------------------------------------------------------------------- // two dual meshes const RLLMesh &meshCnt = meshManager.getMesh(PointCounter::Center); const RLLMesh &meshBnd = meshManager.getMesh(PointCounter::Bound); // ------------------------------------------------------------------------- // evaluate the initial condition on the RLL mesh of point counter tracerManager.registerTracer("test tracer 0", "test unit", meshManager); Field qt; qt.init(meshCnt, meshBnd); Array<double, 2> qtmp(meshCnt.getNumLon(), meshCnt.getNumLat()); #ifdef DEBUG double totalCellMass = 0.0; #endif calcSolution(0.0, meshCnt.lon, meshCnt.lat, qtmp); for (int i = 0; i < meshCnt.getNumLon()-1; ++i) for (int j = 0; j < meshCnt.getNumLat(); ++j) { qt.values(i, j) = qtmp(i, j); #ifdef DEBUG totalCellMass += qt.values(i, j).getNew()*meshBnd.area(i, j); #endif } // ------------------------------------------------------------------------- // check the location polygon vertices Vertex *vertex = tracerManager.polygonManager.vertices.front(); for (int i = 0; i < tracerManager.polygonManager.vertices.size(); ++i) { Location loc; meshManager.checkLocation(vertex->getCoordinate(), loc, vertex); vertex->setLocation(loc); vertex = vertex->next; } // ------------------------------------------------------------------------- meshAdaptor.adapt(tracerManager, meshManager); // ------------------------------------------------------------------------- meshAdaptor.remap("test tracer 0", qt, tracerManager); // ------------------------------------------------------------------------- #ifdef DEBUG double totalPolygonMass = 0.0; Polygon *polygon = tracerManager.polygonManager.polygons.front(); for (int i = 0; i < tracerManager.polygonManager.polygons.size(); ++i) { totalPolygonMass += polygon->tracers[0].getMass(); polygon = polygon->next; } cout << "Total cell mass is " << setprecision(20) << totalCellMass << endl; cout << "Total polygon mass is " << setprecision(20) << totalPolygonMass << endl; cout << "Mass error is " << totalCellMass-totalPolygonMass << endl; #endif // ------------------------------------------------------------------------- meshAdaptor.remap("test tracer 0", tracerManager); }
// This routine simply glues together many of the routines that are already // written in the Poisson solver library // // phi( 1:SubNumPhysNodes ) is a scalar quantity. // // E1 ( 1:NumElems, 1:kmax2d ) is a vector quantity. // E2 ( 1:NumElems, 1:kmax2d ) is a vector quantity. // // See also: ConvertEfieldOntoDGbasis void ComputeElectricField( const double t, const mesh& Mesh, const dTensorBC5& q, dTensor2& E1, dTensor2& E2) { // const int mx = q.getsize(1); assert_eq(mx,dogParamsCart2.get_mx()); const int my = q.getsize(2); assert_eq(my,dogParamsCart2.get_my()); const int NumElems = q.getsize(3); const int meqn = q.getsize(4); const int kmax = q.getsize(5); const int space_order = dogParams.get_space_order(); // unstructured parameters: const int kmax2d = E2.getsize(2); const int NumBndNodes = Mesh.get_NumBndNodes(); const int NumPhysNodes = Mesh.get_NumPhysNodes(); // Quick error check if( !Mesh.get_is_submesh() ) { printf("ERROR: mesh needs to have subfactor set to %d\n", space_order); printf("Go to Unstructured mesh and remesh the problem\n"); exit(-1); } const int SubFactor = Mesh.get_SubFactor(); assert_eq( NumElems, Mesh.get_NumElems() ); // -- Step 1: Compute rho -- // dTensor3 rho(NumElems, 1, kmax2d ); void ComputeDensity( const mesh& Mesh, const dTensorBC5& q, dTensor3& rho ); ComputeDensity( Mesh, q, rho ); // -- Step 2: Figure out how large phi needs to be int SubNumPhysNodes = 0; int SubNumBndNodes = 0; switch( dogParams.get_space_order() ) { case 1: SubNumPhysNodes = NumPhysNodes; SubNumBndNodes = NumBndNodes; break; case 2: SubNumPhysNodes = Mesh.get_SubNumPhysNodes(); SubNumBndNodes = Mesh.get_SubNumBndNodes(); if(SubFactor!=2) { printf("\n"); printf(" Error: for space_order = %i, need SubFactor = %i\n",space_order,2); printf(" SubFactor = %i\n",SubFactor); printf("\n"); exit(1); } break; case 3: SubNumPhysNodes = Mesh.get_SubNumPhysNodes(); SubNumBndNodes = Mesh.get_SubNumBndNodes(); if(SubFactor!=3) { printf("\n"); printf(" Error: for space_order = %i, need SubFactor = %i\n",space_order,3); printf(" SubFactor = %i\n",SubFactor); printf("\n"); exit(1); } break; default: printf("\n"); printf(" ERROR in RunDogpack_unst.cpp: space_order value not supported.\n"); printf(" space_order = %i\n",space_order); printf("\n"); exit(1); } // local storage: dTensor1 rhs(SubNumPhysNodes); dTensor1 phi(SubNumPhysNodes); // Get Cholesky factorization matrix R // // TODO - this should be saved earlier in the code rather than reading // from file every time we with to run a Poisson solve! // SparseCholesky R(SubNumPhysNodes); string outputdir = dogParams.get_outputdir(); R.init(outputdir); R.read(outputdir); // Create right-hand side vector void Rhs2D_unst(const int space_order, const mesh& Mesh, const dTensor3& rhs_dg, dTensor1& rhs); Rhs2D_unst(space_order, Mesh, rho, rhs); // Call Poisson solver void PoissonSolver2D_unst(const int space_order, const mesh& Mesh, const SparseCholesky& R, const dTensor1& rhs, dTensor1& phi, dTensor2& E1, dTensor2& E2); PoissonSolver2D_unst(space_order, Mesh, R, rhs, phi, E1, E2); // Compare errors with the exact Electric field: // void L2Project_Unst( const double time, const dTensor2* vel_vec, const int istart, const int iend, const int QuadOrder, const int BasisOrder_qin, const int BasisOrder_auxin, const int BasisOrder_fout, const mesh& Mesh, const dTensor3* qin, const dTensor3* auxin, dTensor3* fout, void (*Func)(const double t, const dTensor2* vel_vec, const dTensor2&,const dTensor2&, const dTensor2&,dTensor2&)); const int sorder = dogParams.get_space_order(); dTensor3 qtmp (NumElems, 2, kmax2d ); qtmp.setall(0.); dTensor3 auxtmp (NumElems, 0, kmax2d ); dTensor3 ExactE (NumElems, 2, kmax2d ); L2Project_Unst( t, NULL, 1, NumElems, sorder, sorder, sorder, sorder, Mesh, &qtmp, &auxtmp, &ExactE, &ExactElectricField ); // Compute errors on these two: // double err = 0.; for( int n=1; n <= NumElems; n++ ) for( int k=1; k <= kmax2d; k++ ) { err += Mesh.get_area_prim(n)*pow( ExactE.get(n,1,k) - E1.get(n,k), 2 ); err += Mesh.get_area_prim(n)*pow( ExactE.get(n,2,k) - E2.get(n,k), 2 ); } printf("error = %2.15e\n", err ); }