added Robin BC, disabled cuthill_mckee_reordering for now
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c321dbc271
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b78c3f9aff
5 changed files with 46 additions and 46 deletions
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@ -759,6 +759,11 @@ const std::vector<int> Mesh::BoundaryEdges() const
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return _ebedges;
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}
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const std::vector<int> Mesh::BoundaryEdgeNodes() const
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{
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return _bedges;
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}
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// Only the outer edges for Robin BC
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void Mesh::InitializeOuterEdges()
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@ -996,12 +1001,16 @@ Mesh::Mesh(std::string const &fname)
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//Debug();
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DeriveEdgeFromVertexBased(); // Generate also the edge based information
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{
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// Cuthill-McKee reordering
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// Increases mesh generation time by factor 5 - but solver is faster.
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auto const perm = cuthill_mckee_reordering(_edges);
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PermuteVertices_EdgeBased(perm);
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// auto const perm = cuthill_mckee_reordering(_edges);
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// PermuteVertices_EdgeBased(perm);
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}
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DeriveVertexFromEdgeBased();
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@ -331,6 +331,7 @@ private:
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public:
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const std::vector<int> BoundaryEdges() const;
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const std::vector<int> BoundaryEdgeNodes() const;
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std::vector<int> OuterEdgesSubdomains;
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std::vector<int> OuterEdges;
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@ -616,57 +616,48 @@ void FEM_Matrix::ApplyDirichletBC(std::vector<double> const &u, std::vector<doub
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}
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void FEM_Matrix::ApplyRobinBC_mult(std::vector<double> const &u, std::vector<double> &f, const double u_out)
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void FEM_Matrix::ApplyRobinBC_mult(std::vector<double> &f, const double u_out)
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{
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auto const RobinEdges = _mesh.OuterEdges;
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auto const RobinEdgesSubdomains = _mesh.OuterEdgesSubdomains;
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for (int i = 0; i < RobinEdges.size(); ++i)
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auto const BoundaryEdges = _mesh.BoundaryEdges();
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auto const BoundaryEdgeNodes = _mesh.BoundaryEdgeNodes();
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assert (BoundaryEdgeNodes.size() == 2* BoundaryEdges.size());
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vector<double> Coordinates = _mesh.GetCoords();
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for (size_t i = 0; i < RobinEdges.size(); ++i)
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{
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cout << "Edge number " << RobinEdges[i] << ", subdomain: " << RobinEdgesSubdomains[i] << endl;
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//cout << "Edge number " << RobinEdges[i] << ", subdomain: " << RobinEdgesSubdomains[i] << " " << endl;
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double alpha = Heat_transfer_coefficient(RobinEdgesSubdomains[i]);
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}
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int const EdgeNode1 = BoundaryEdgeNodes[2*i];
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int const EdgeNode2 = BoundaryEdgeNodes[2*i + 1];
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double x_1 = Coordinates[EdgeNode1];
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double y_1 = Coordinates[EdgeNode1 + 1];
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double x_2 = Coordinates[EdgeNode2];
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double y_2 = Coordinates[EdgeNode2 + 1];
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double EdgeLength = sqrt((x_2 - x_1)*(x_2 - x_1) + (y_2 - y_1)*(y_2 - y_1));
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int ii = _id[EdgeNode1];
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int jj = _id[EdgeNode2];
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int ij = fetch(_ik[_id[EdgeNode1]], EdgeNode1);
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int ji = fetch(_ik[_id[EdgeNode2]], EdgeNode2);
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_sk[ii] += EdgeLength*alpha/3;
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_sk[jj] += EdgeLength*alpha/3;
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_sk[ij] += EdgeLength*alpha/6;
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_sk[ji] += EdgeLength*alpha/6;
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f[ii] += EdgeLength*alpha*u_out/2;
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f[jj] += EdgeLength*alpha*u_out/2;
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// Jakob Todo
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auto const idx = _mesh.Index_DirichletNodes(); // ALL boundary nodes
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const vector<int> sd_vec = _mesh.ElementSubdomains;
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for (int i = 0; i < idx.size(); ++i) {
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int const row = idx[i];
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int subdomain = sd_vec[row];
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// cout << "row: " << row;
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// cout << ", subdomain: " << subdomain << endl;
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double alpha = Heat_transfer_coefficient(subdomain);
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f[row] += u_out*alpha/2;
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for (int ij = _id[row]; ij < _id[row + 1]; ++ij)
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{
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int const col = _ik[ij];
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if(col == row)
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{
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_sk[ij] += alpha/3;
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}
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else
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{
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int const id1 = fetch(col, row); // Find entry (col,row)
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assert(id1 >= 0);
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_sk[id1] += alpha/6;
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}
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}
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}
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return;
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@ -681,7 +672,7 @@ double FEM_Matrix::Heat_transfer_coefficient(const int subdomain)
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{
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// outside
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case 0:
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alpha = 1.0;
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alpha = 10.0;
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break;
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// ceramic
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@ -691,12 +682,12 @@ double FEM_Matrix::Heat_transfer_coefficient(const int subdomain)
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// water
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case 2:
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alpha = 1.0;
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alpha = 500.0;
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break;
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// air
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case 3:
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alpha = 1.0;
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alpha = 10.0;
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break;
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default:
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@ -410,11 +410,10 @@ class FEM_Matrix: public CRS_Matrix
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* The <a href="https://www.jstor.org/stable/2005611?seq=1#metadata_info_tab_contents">penalty method</a>
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* is used for incorporating the given values @p u.
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*
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* @param[in] u (global) vector with Dirichlet data
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* @param[in] u_out outside temperature
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* @param[in,out] f load vector
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*/
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void ApplyRobinBC_mult(std::vector<double> const &u, std::vector<double> &f, const double u_out);
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void ApplyRobinBC_mult(std::vector<double> &f, const double u_out);
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double Heat_transfer_coefficient(const int subdomain);
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@ -33,7 +33,7 @@ int main(int argc, char **argv )
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//gMesh_Hierarchy ggm(mesh_c, nrefine);
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//const Mesh &mesh = ggm.finest();
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//mesh.Debug();
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//mesh.DebugEdgeBased();
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//mesh_c.DebugEdgeBased();
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// Initializing FEM matrix !pattern! (only zero entries now)
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@ -55,7 +55,7 @@ int main(int argc, char **argv )
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// Calculate RHS
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SK.CalculateRHS(fv, [](double x, double y) {return 0;});
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//SK.CheckRowSum();
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SK.CheckMatrix();
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//SK.CheckMatrix();
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// Initialize temperature
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@ -65,7 +65,7 @@ int main(int argc, char **argv )
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mesh_c.Init_Solution_mult(uv, 2, [](double x, double y) -> double { return 18; }); // air
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// Apply BC
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SK.ApplyRobinBC_mult(uv, fv, 18.0);
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SK.ApplyRobinBC_mult(fv, 18.0);
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// Solve
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@ -74,7 +74,7 @@ int main(int argc, char **argv )
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auto t3 = system_clock::now(); // start timer
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// JacobiSolve(SK, fv, uv ); // solve the system of equations
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//JacobiSolve(SK, fv, uv ); // solve the system of equations
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auto t4 = system_clock::now(); // stop timer
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auto duration = duration_cast<microseconds>(t4 - t3); // duration in microseconds
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