SELF_ECDGModel2D_t Module

  1. SELF_ECDGModel2D_t.f90
  2. SELF_ECDGModel2D_t

Entropy-conserving DGSEM base class for 2-D conservation laws.

Extends DGModel2D_t by replacing the standard volume flux divergence with the split-form (two-point) EC volume term following Gassner, Winters, Kopriva (2016) Winters, Kopriva, Gassner, Hindenlang (2021)

Semidiscretization: du/dt = source - (1/J) * [ 2 sum_n D_{n,i} F~^1(n,i,j) + 2 sum_n D_{n,j} F~^2(n,i,j) + M^{-1} B^T f_Riemann ]

where F~^r is the Jacobian-weighted contravariant EC two-point flux in the r-th computational direction (computed by TwoPointFluxMethod via twopointflux2d), and f_Riemann is a standard Riemann solver flux at element faces (computed by BoundaryFlux via riemannflux2d).


Uses

  • module~~self_ecdgmodel2d_t~~UsesGraph module~self_ecdgmodel2d_t SELF_ECDGModel2D_t module~self_dgmodel2d_t SELF_DGModel2D_t module~self_ecdgmodel2d_t->module~self_dgmodel2d_t module~self_mappedtwopointvector_2d~2 SELF_MappedTwoPointVector_2D module~self_ecdgmodel2d_t->module~self_mappedtwopointvector_2d~2 module~self_hdf5 SELF_HDF5 module~self_dgmodel2d_t->module~self_hdf5 module~self_mappedscalar_2d SELF_MappedScalar_2D module~self_dgmodel2d_t->module~self_mappedscalar_2d module~self_supportroutines SELF_SupportRoutines module~self_dgmodel2d_t->module~self_supportroutines module~self_model SELF_Model module~self_dgmodel2d_t->module~self_model module~self_metadata SELF_Metadata module~self_dgmodel2d_t->module~self_metadata HDF5 HDF5 module~self_dgmodel2d_t->HDF5 module~self_geometry_2d SELF_Geometry_2D module~self_dgmodel2d_t->module~self_geometry_2d module~self_mappedvector_2d SELF_MappedVector_2D module~self_dgmodel2d_t->module~self_mappedvector_2d module~self_mesh_2d~2 SELF_Mesh_2D module~self_dgmodel2d_t->module~self_mesh_2d~2 FEQParse FEQParse module~self_dgmodel2d_t->FEQParse module~self_boundaryconditions SELF_BoundaryConditions module~self_dgmodel2d_t->module~self_boundaryconditions module~self_mappedtwopointvector_2d_t SELF_MappedTwoPointVector_2D_t module~self_mappedtwopointvector_2d~2->module~self_mappedtwopointvector_2d_t module~self_hdf5->HDF5 module~self_constants SELF_Constants module~self_hdf5->module~self_constants iso_fortran_env iso_fortran_env module~self_hdf5->iso_fortran_env mpi mpi module~self_hdf5->mpi module~self_mappedscalar_2d_t SELF_MappedScalar_2D_t module~self_mappedscalar_2d->module~self_mappedscalar_2d_t module~self_supportroutines->module~self_constants module~self_supportroutines->iso_fortran_env module~self_model->module~self_hdf5 module~self_model->module~self_supportroutines module~self_model->module~self_metadata module~self_model->HDF5 module~self_model->FEQParse module~self_metadata->module~self_hdf5 module~self_metadata->HDF5 module~self_geometry_2d->module~self_supportroutines module~self_geometry_2d->module~self_mesh_2d~2 module~self_scalar_2d~2 SELF_Scalar_2D module~self_geometry_2d->module~self_scalar_2d~2 module~self_geometry_2d->module~self_constants module~self_data SELF_Data module~self_geometry_2d->module~self_data module~self_vector_2d~2 SELF_Vector_2D module~self_geometry_2d->module~self_vector_2d~2 module~self_lagrange~3 SELF_Lagrange module~self_geometry_2d->module~self_lagrange~3 module~self_tensor_2d~2 SELF_Tensor_2D module~self_geometry_2d->module~self_tensor_2d~2 module~self_mappedvector_2d_t SELF_MappedVector_2D_t module~self_mappedvector_2d->module~self_mappedvector_2d_t module~self_mesh_2d_t SELF_Mesh_2D_t module~self_mesh_2d~2->module~self_mesh_2d_t module~self_boundaryconditions->module~self_supportroutines module~self_boundaryconditions->module~self_metadata iso_c_binding iso_c_binding module~self_boundaryconditions->iso_c_binding module~self_mappedtwopointvector_2d_t->module~self_geometry_2d module~self_mappedtwopointvector_2d_t->module~self_constants module~self_twopointvector_2d~2 SELF_TwoPointVector_2D module~self_mappedtwopointvector_2d_t->module~self_twopointvector_2d~2 module~self_mappedtwopointvector_2d_t->module~self_lagrange~3 module~self_mappedtwopointvector_2d_t->iso_c_binding module~self_scalar_2d~2->module~self_constants module~self_scalar_2d~2->iso_c_binding module~self_scalar_2d_t SELF_Scalar_2D_t module~self_scalar_2d~2->module~self_scalar_2d_t module~self_constants->iso_fortran_env module~self_constants->iso_c_binding module~self_data->module~self_hdf5 module~self_data->module~self_metadata module~self_data->HDF5 module~self_data->FEQParse module~self_data->module~self_constants module~self_data->module~self_lagrange~3 module~self_data->iso_c_binding module~self_mappedvector_2d_t->module~self_geometry_2d module~self_mappedvector_2d_t->module~self_mesh_2d~2 module~self_mappedvector_2d_t->FEQParse module~self_mappedvector_2d_t->module~self_constants module~self_mappedvector_2d_t->module~self_vector_2d~2 module~self_mappedvector_2d_t->module~self_lagrange~3 module~self_mappedvector_2d_t->module~self_tensor_2d~2 module~self_mappedvector_2d_t->iso_c_binding module~self_domaindecomposition~2 SELF_DomainDecomposition module~self_mappedvector_2d_t->module~self_domaindecomposition~2 module~self_mesh_2d_t->module~self_hdf5 module~self_mesh_2d_t->module~self_supportroutines module~self_mesh_2d_t->HDF5 module~self_mesh_2d_t->module~self_constants module~self_mesh_2d_t->module~self_lagrange~3 module~self_mesh_2d_t->iso_c_binding module~self_mesh SELF_Mesh module~self_mesh_2d_t->module~self_mesh module~self_mesh_2d_t->module~self_domaindecomposition~2 module~self_twopointvector_2d_t SELF_TwoPointVector_2D_t module~self_twopointvector_2d~2->module~self_twopointvector_2d_t module~self_mappedscalar_2d_t->module~self_geometry_2d module~self_mappedscalar_2d_t->module~self_mesh_2d~2 module~self_mappedscalar_2d_t->FEQParse module~self_mappedscalar_2d_t->module~self_scalar_2d~2 module~self_mappedscalar_2d_t->module~self_constants module~self_mappedscalar_2d_t->module~self_lagrange~3 module~self_mappedscalar_2d_t->module~self_tensor_2d~2 module~self_mappedscalar_2d_t->iso_c_binding module~self_mappedscalar_2d_t->module~self_domaindecomposition~2 module~self_vector_2d_t SELF_Vector_2D_t module~self_vector_2d~2->module~self_vector_2d_t module~self_lagrange~3->module~self_constants module~self_lagrange~3->iso_fortran_env module~self_lagrange~3->iso_c_binding module~self_lagrange_t SELF_Lagrange_t module~self_lagrange~3->module~self_lagrange_t module~self_tensor_2d_t SELF_Tensor_2D_t module~self_tensor_2d~2->module~self_tensor_2d_t module~self_mesh->module~self_constants module~self_mesh->iso_c_binding module~self_mesh->module~self_domaindecomposition~2 module~self_vector_2d_t->module~self_hdf5 module~self_vector_2d_t->module~self_metadata module~self_vector_2d_t->HDF5 module~self_vector_2d_t->FEQParse module~self_vector_2d_t->module~self_constants module~self_vector_2d_t->module~self_data module~self_vector_2d_t->module~self_lagrange~3 module~self_vector_2d_t->iso_c_binding module~self_lagrange_t->module~self_hdf5 module~self_lagrange_t->module~self_supportroutines module~self_lagrange_t->HDF5 module~self_lagrange_t->module~self_constants module~self_lagrange_t->iso_fortran_env module~self_lagrange_t->iso_c_binding module~self_quadrature SELF_Quadrature module~self_lagrange_t->module~self_quadrature module~self_tensor_2d_t->module~self_hdf5 module~self_tensor_2d_t->module~self_metadata module~self_tensor_2d_t->HDF5 module~self_tensor_2d_t->FEQParse module~self_tensor_2d_t->module~self_constants module~self_tensor_2d_t->module~self_data module~self_tensor_2d_t->module~self_lagrange~3 module~self_tensor_2d_t->iso_c_binding module~self_scalar_2d_t->module~self_hdf5 module~self_scalar_2d_t->module~self_metadata module~self_scalar_2d_t->HDF5 module~self_scalar_2d_t->FEQParse module~self_scalar_2d_t->module~self_constants module~self_scalar_2d_t->module~self_data module~self_scalar_2d_t->module~self_lagrange~3 module~self_scalar_2d_t->iso_c_binding module~self_domaindecomposition_t SELF_DomainDecomposition_t module~self_domaindecomposition~2->module~self_domaindecomposition_t module~self_twopointvector_2d_t->module~self_metadata module~self_twopointvector_2d_t->FEQParse module~self_twopointvector_2d_t->module~self_constants module~self_twopointvector_2d_t->module~self_data module~self_twopointvector_2d_t->module~self_lagrange~3 module~self_twopointvector_2d_t->iso_c_binding module~self_quadrature->module~self_constants module~self_quadrature->iso_fortran_env module~self_domaindecomposition_t->module~self_supportroutines module~self_domaindecomposition_t->module~self_constants module~self_domaindecomposition_t->mpi module~self_domaindecomposition_t->module~self_lagrange~3 module~self_domaindecomposition_t->iso_c_binding

Used by

  • module~~self_ecdgmodel2d_t~~UsedByGraph module~self_ecdgmodel2d_t SELF_ECDGModel2D_t module~self_ecadvection2d_t SELF_ECAdvection2D_t module~self_ecadvection2d_t->module~self_ecdgmodel2d_t module~self_ecdgmodel2d SELF_ECDGModel2D module~self_ecdgmodel2d->module~self_ecdgmodel2d_t module~self_ecadvection2d~2 SELF_ECAdvection2D module~self_ecadvection2d~2->module~self_ecdgmodel2d_t module~self_ecadvection2d~2->module~self_ecadvection2d_t module~self_ecdgmodel2d~2 SELF_ECDGModel2D module~self_ecdgmodel2d~2->module~self_ecdgmodel2d_t module~self_ecadvection2d SELF_ECAdvection2D module~self_ecadvection2d->module~self_ecadvection2d_t

Contents

Derived Types

Functions

Subroutines


Derived Types

type, public, extends(DGModel2D_t) :: ECDGModel2D_t

Components

TypeVisibilityAttributesNameInitial
type(MappedScalar2D), public :: dSdt
real(kind=prec), public :: dt
real(kind=prec), public :: entropy
type(MappedVector2D), public :: flux
type(MappedScalar2D), public :: fluxDivergence
type(SEMQuad), public, pointer:: geometry
logical, public :: gradient_enabled =.false.
type(BoundaryConditionList), public :: hyperbolicBCs
integer, public :: ioIterate =0
type(Mesh2D), public, pointer:: mesh
integer, public :: nvar
type(BoundaryConditionList), public :: parabolicBCs
logical, public :: prescribed_bcs_enabled =.true.
type(MappedScalar2D), public :: solution
type(MappedVector2D), public :: solutionGradient
type(MappedScalar2D), public :: source
real(kind=prec), public :: t
logical, public :: tecplot_enabled =.true.
procedure(SELF_timeIntegrator), public, pointer:: timeIntegrator=> Euler_timeIntegrator
type(MappedTwoPointVector2D), public :: twoPointFlux
type(MappedScalar2D), public :: workSol

Type-Bound Procedures

procedure, public :: AdditionalFree => AdditionalFree_Model
procedure, public :: AdditionalInit => AdditionalInit_Model
procedure, public :: AdditionalOutput => AdditionalOutput_Model
procedure, public :: BoundaryFlux => BoundaryFlux_DGModel2D_t
procedure, public :: CalculateEntropy => CalculateEntropy_DGModel2D_t
procedure, public :: CalculateSolutionGradient => CalculateSolutionGradient_DGModel2D_t
procedure, public :: CalculateTendency => CalculateTendency_ECDGModel2D_t
procedure, public :: Euler_timeIntegrator
procedure, public :: FluxMethod => fluxmethod_DGModel2D_t
procedure, public :: ForwardStep => ForwardStep_Model
procedure, public :: Free => Free_ECDGModel2D_t
procedure, public :: GetSimulationTime
procedure, public :: IncrementIOCounter
procedure, public :: Init => Init_ECDGModel2D_t
procedure, public :: LowStorageRK2_timeIntegrator
procedure, public :: LowStorageRK3_timeIntegrator
procedure, public :: LowStorageRK4_timeIntegrator
procedure, public :: MapBoundaryConditions => MapBoundaryConditions_DGModel2D_t
procedure, public :: PreTendency => PreTendency_Model
procedure, public :: PrintType => PrintType_Model
procedure, public :: ReadModel => Read_DGModel2D_t
procedure, public :: ReportEntropy => ReportEntropy_Model
procedure, public :: ReportMetrics => ReportMetrics_DGModel2D_t
procedure, public :: ReportUserMetrics => ReportUserMetrics_Model
procedure, public :: SetBoundaryCondition => setboundarycondition_DGModel2D_t
procedure, public :: SetGradientBoundaryCondition => setgradientboundarycondition_DGModel2D_t
procedure, public :: SetMetadata => SetMetadata_DGModel2D_t
procedure, public :: SetNumberOfVariables => SetNumberOfVariables_Model
procedure, public :: SetSimulationTime
generic, public :: SetSolution => SetSolutionFromChar_DGModel2D_t, SetSolutionFromEqn_DGModel2D_t
generic, public :: SetTimeIntegrator => SetTimeIntegrator_withChar
procedure, public :: SourceMethod => sourcemethod_DGModel2D_t
procedure, public :: TwoPointFluxMethod => TwoPointFluxMethod_ECDGModel2D_t
procedure, public :: UpdateGRK2 => UpdateGRK2_DGModel2D_t
procedure, public :: UpdateGRK3 => UpdateGRK3_DGModel2D_t
procedure, public :: UpdateGRK4 => UpdateGRK4_DGModel2D_t
procedure, public :: UpdateSolution => UpdateSolution_DGModel2D_t
procedure, public :: WriteModel => Write_DGModel2D_t
procedure, public :: WriteTecplot => WriteTecplot_DGModel2D_t
procedure, public :: entropy_func => entropy_func_Model
procedure, public :: flux1D => flux1d_Model
procedure, public :: flux2D => flux2d_Model
procedure, public :: flux3D => flux3d_Model
procedure, public :: riemannflux1d => riemannflux1d_Model
procedure, public :: riemannflux2d => riemannflux2d_Model
procedure, public :: riemannflux3d => riemannflux3d_Model
procedure, public :: source1d => source1d_Model
procedure, public :: source2d => source2d_Model
procedure, public :: source3d => source3d_Model
procedure, public :: twopointflux2d => twopointflux2d_ECDGModel2D_t

Functions

public pure function twopointflux2d_ECDGModel2D_t(this, sL, sR) result(flux)

Entropy-conserving two-point flux function.

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Arguments

TypeIntentOptionalAttributesName
class(ECDGModel2D_t), intent(in) :: this
real(kind=prec), intent(in) :: sL(1:this%nvar)
real(kind=prec), intent(in) :: sR(1:this%nvar)

Return Value real(kind=prec)(1:this%nvar,1:2)


Subroutines

public subroutine CalculateTendency_ECDGModel2D_t(this)

Computes du/dt = source - EC-DG flux divergence.

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Arguments

TypeIntentOptionalAttributesName
class(ECDGModel2D_t), intent(inout) :: this

public subroutine Free_ECDGModel2D_t(this)

Arguments

TypeIntentOptionalAttributesName
class(ECDGModel2D_t), intent(inout) :: this

public subroutine Init_ECDGModel2D_t(this, mesh, geometry)

Arguments

TypeIntentOptionalAttributesName
class(ECDGModel2D_t), intent(out) :: this
type(Mesh2D), intent(in), target:: mesh
type(SEMQuad), intent(in), target:: geometry

public subroutine TwoPointFluxMethod_ECDGModel2D_t(this)

Computes pre-projected SCALAR contravariant two-point fluxes for all node pairs and stores them in twoPointFlux%interior(n,i,j,iel,ivar,r).

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Arguments

TypeIntentOptionalAttributesName
class(ECDGModel2D_t), intent(inout) :: this