Convection Diffusion periodic unsteady test (currently only diffusion) More...
#include <convection_diffusion_explicit_periodic.h>
Public Member Functions | |
| ConvectionDiffusionPeriodic (const Parameters::AllParameters *const parameters_input) | |
| Constructor. | |
| int | run_test () const override |
| Run test. | |
 Public Member Functions inherited from PHiLiP::Tests::TestsBase | |
| TestsBase ()=delete | |
| Constructor. Deleted the default constructor since it should not be used. | |
| TestsBase (const Parameters::AllParameters *const parameters_input) | |
| Constructor. More... | |
| virtual | ~TestsBase ()=default |
| Destructor. | |
Private Member Functions | |
| double | compute_energy_derivative_norm (std::shared_ptr< PHiLiP::DGBase< dim, double > > &dg) const |
| Function computes the energy bound. More... | |
| double | compute_conservation (std::shared_ptr< PHiLiP::DGBase< dim, double > > &dg, const double poly_degree) const |
| Function computes the conservation. | |
Additional Inherited Members | |
| Public Attributes inherited from PHiLiP::Tests::TestsBase | |
| const Parameters::AllParameters *const | all_parameters |
| Pointer to all parameters. | |
| Protected Member Functions inherited from PHiLiP::Tests::TestsBase | |
| std::vector< int > | get_number_1d_cells (const int ngrids) const |
| Evaluates the number of cells to generate the grids for 1D grid based on input file. More... | |
| std::string | get_pde_string (const Parameters::AllParameters *const param) const |
| Returns a string describing which PDE is being used. | |
| std::string | get_conv_num_flux_string (const Parameters::AllParameters *const param) const |
| Returns a string describing which convective numerical flux is being used. | |
| std::string | get_diss_num_flux_string (const Parameters::AllParameters *const param) const |
| Returns a string describing which dissipative numerical flux is being used. | |
| std::string | get_manufactured_solution_string (const Parameters::AllParameters *const param) const |
| Returns a string describing which manufactured solution is being used. | |
| Protected Attributes inherited from PHiLiP::Tests::TestsBase | |
| const MPI_Comm | mpi_communicator |
| MPI communicator. | |
| const int | mpi_rank |
| MPI rank. | |
| const int | n_mpi |
| dealii::ConditionalOStream | pcout |
| ConditionalOStream. More... | |
Detailed Description
template<int dim, int nstate>
class PHiLiP::Tests::ConvectionDiffusionPeriodic< dim, nstate >
Convection Diffusion periodic unsteady test (currently only diffusion)
Definition at line 13 of file convection_diffusion_explicit_periodic.h.
Member Function Documentation
◆ compute_energy_derivative_norm()
|
private |
Function computes the energy bound.
Note that for convection-diffusion, we have a proof on the norm of the time rate of change of the energy with respect to the norm of the auxiliary variable. Explicitly, \( \frac{1}{2}\frac{d}{dt}\| U\|^2 + b\|Q\|^2 \leq 0\). The energy dissipation is related to the auxiliary variable. Thus, for a central flux, we can prove the above is equal to 0 within machine precision. This is not the same as the energy being conserved.
Definition at line 37 of file convection_diffusion_explicit_periodic.cpp.
The documentation for this class was generated from the following files:
- src/testing/convection_diffusion_explicit_periodic.h
- src/testing/convection_diffusion_explicit_periodic.cpp
