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HArD::Core3D
Hybrid Arbitrary Degree::Core 3D - Library to implement 3D schemes with vertex, edge, face and cell polynomials as unknowns
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Structure for Brinkman model. More...
#include <hho-brinkman.hpp>
Public Types | |
| typedef Eigen::SparseMatrix< double > | SystemMatrixType |
| typedef std::function< VectorRd(const VectorRd &)> | MomentumForcingTermType |
| typedef std::function< double(const VectorRd &)> | CompressibilityForcingTermType |
| typedef std::function< VectorRd(const VectorRd &)> | VelocityType |
| typedef std::function< MatrixRd(const VectorRd &)> | VelocityGradientType |
| typedef std::function< double(const VectorRd &)> | PressureType |
| typedef std::function< VectorRd(const VectorRd &)> | PressureGradientType |
Public Member Functions | |
| Brinkman (const VHHOSpace &vhho_space, const GlobalDOFSpace &p_space, const BoundaryConditions &BC, bool use_threads, std::ostream &output=std::cout) | |
| Constructor. | |
| void | assembleLinearSystem (const MomentumForcingTermType &f, const CompressibilityForcingTermType &g, const BrinkmanParameters ¶, const VelocityType &u, Eigen::VectorXd &UDir) |
| Assemble the global system | |
| size_t | nloc_sc_u () const |
| Returns the local number of velocity statically condensed DOFs. | |
| size_t | nloc_sc_p () const |
| Returns the local number of pressure statically condensed DOFs. | |
| size_t | numSCDOFs_u () const |
| Returns the number of velocity statically condensed DOFs. | |
| size_t | numSCDOFs_p () const |
| Returns the number of pressure statically condensed DOFs. | |
| size_t | numSCDOFs () const |
| Returns the number of statically condensed DOFs. | |
| size_t | numDirDOFs () const |
| Returns the number of Dirichlet DOFs. | |
| size_t | dimVelocity () const |
| Returns the dimension of velocity space. | |
| size_t | dimPressure () const |
| Returns the dimension of pressure space. | |
| size_t | numNonSCDOFs () const |
| Returns the number of DOFs after SC and with Lagrange multiplier, but before eliminating Dirichlet DOFs. | |
| size_t | sizeSystem () const |
| Returns the size of the final system with Lagrange multiplier, after application of SC and removal of Dirichlet BCs. | |
| const VHHOSpace & | vhhospace () const |
| Returns the velocity space. | |
| const GlobalDOFSpace & | pspace () const |
| Returns the pressure space. | |
| const Mesh & | mesh () const |
| Returns the mesh. | |
| const SystemMatrixType & | systemMatrix () const |
| Returns the linear system matrix. | |
| SystemMatrixType & | systemMatrix () |
| Returns the linear system matrix. | |
| const Eigen::VectorXd & | systemVector () const |
| Returns the linear system right-hand side vector. | |
| Eigen::VectorXd & | systemVector () |
| Returns the linear system right-hand side vector. | |
| const std::pair< double, double > & | stabilizationParameter () const |
| Returns the stabilization parameter (scaling) | |
| std::pair< double, double > & | stabilizationParameter () |
| Returns the stabilization parameter. | |
| const SystemMatrixType & | scMatrix () const |
| Returns the static condensation recovery operator. | |
| Eigen::VectorXd & | scVector () |
| Returns the static condensation rhs. | |
| Eigen::VectorXd | interpolate (const VelocityType &u, const PressureType &p, const int doe_cell=-1, const int doe_face=-1) const |
| Interpolates velocity and pressure. | |
| std::vector< BrinkmanNorms > | computeBrinkmanNorms (const std::vector< Eigen::VectorXd > &list_dofs, const BrinkmanParameters ¶) const |
| Compute the discrete energy norm of a family of vectors representing the dofs. | |
| std::vector< double > | pressureVertexValues (const Eigen::VectorXd &p) const |
| Create vertex values for the pressure (from the element values), for plotting. | |
| std::pair< double, double > | computeConditionNum () const |
| Computes the condition number of the matrix. | |
| std::pair< double, double > | computeFlux (const Eigen::VectorXd &u, const std::pair< std::vector< VectorRd >, VectorRd > &surf) const |
| Compute the velocity flux (integral of u.n) across a given surface, and the area of the surface, assumed to be star-shaped with respect the barycenter of its vertices. | |
Structure for Brinkman model.
The global unknowns are in the following order:
1.9.8