self_LinearEuler2D_t Module

  1. SELF_LinearEuler2D_t.f90
  2. self_LinearEuler2D_t

This module defines a class that can be used to solve the Linear Euler equations in 2-D. The Linear Euler Equations, here, are the Euler equations linearized about a motionless background state.

The conserved variables are

The conservative flux is

and the source terms are null.


Uses

  • module~~self_lineareuler2d_t~~UsesGraph module~self_lineareuler2d_t self_LinearEuler2D_t module~self_dgmodel2d SELF_DGModel2D module~self_lineareuler2d_t->module~self_dgmodel2d module~self_model SELF_Model module~self_lineareuler2d_t->module~self_model module~self_mesh SELF_Mesh module~self_lineareuler2d_t->module~self_mesh module~self_dgmodel2d_t SELF_DGModel2D_t module~self_dgmodel2d->module~self_dgmodel2d_t module~self_supportroutines SELF_SupportRoutines module~self_model->module~self_supportroutines FEQParse FEQParse module~self_model->FEQParse module~self_metadata SELF_Metadata module~self_model->module~self_metadata module~self_hdf5 SELF_HDF5 module~self_model->module~self_hdf5 HDF5 HDF5 module~self_model->HDF5 module~self_constants SELF_Constants module~self_mesh->module~self_constants iso_c_binding iso_c_binding module~self_mesh->iso_c_binding module~self_domaindecomposition SELF_DomainDecomposition module~self_mesh->module~self_domaindecomposition module~self_supportroutines->module~self_constants iso_fortran_env iso_fortran_env module~self_supportroutines->iso_fortran_env module~self_constants->iso_c_binding module~self_constants->iso_fortran_env module~self_dgmodel2d_t->module~self_model module~self_dgmodel2d_t->module~self_supportroutines module~self_dgmodel2d_t->FEQParse module~self_dgmodel2d_t->module~self_metadata module~self_dgmodel2d_t->module~self_hdf5 module~self_dgmodel2d_t->HDF5 module~self_mesh_2d SELF_Mesh_2D module~self_dgmodel2d_t->module~self_mesh_2d module~self_mappedscalar_2d~2 SELF_MappedScalar_2D module~self_dgmodel2d_t->module~self_mappedscalar_2d~2 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_metadata->module~self_hdf5 module~self_metadata->HDF5 module~self_hdf5->module~self_constants module~self_hdf5->HDF5 module~self_hdf5->iso_fortran_env mpi mpi module~self_hdf5->mpi module~self_domaindecomposition_t SELF_DomainDecomposition_t module~self_domaindecomposition->module~self_domaindecomposition_t module~self_mesh_2d_t SELF_Mesh_2D_t module~self_mesh_2d->module~self_mesh_2d_t module~self_mappedscalar_2d_t SELF_MappedScalar_2D_t module~self_mappedscalar_2d~2->module~self_mappedscalar_2d_t module~self_domaindecomposition_t->module~self_supportroutines module~self_domaindecomposition_t->module~self_constants module~self_domaindecomposition_t->iso_c_binding module~self_domaindecomposition_t->mpi module~self_lagrange~3 SELF_Lagrange module~self_domaindecomposition_t->module~self_lagrange~3 module~self_geometry_2d->module~self_supportroutines module~self_geometry_2d->module~self_constants module~self_geometry_2d->module~self_mesh_2d module~self_scalar_2d SELF_Scalar_2D module~self_geometry_2d->module~self_scalar_2d module~self_geometry_2d->module~self_lagrange~3 module~self_vector_2d~2 SELF_Vector_2D module~self_geometry_2d->module~self_vector_2d~2 module~self_tensor_2d~2 SELF_Tensor_2D module~self_geometry_2d->module~self_tensor_2d~2 module~self_data SELF_Data module~self_geometry_2d->module~self_data module~self_mappedvector_2d_t SELF_MappedVector_2D_t module~self_mappedvector_2d->module~self_mappedvector_2d_t module~self_scalar_2d->module~self_constants module~self_scalar_2d->iso_c_binding module~self_scalar_2d_t SELF_Scalar_2D_t module~self_scalar_2d->module~self_scalar_2d_t module~self_lagrange~3->module~self_constants module~self_lagrange~3->iso_c_binding module~self_lagrange~3->iso_fortran_env module~self_lagrange_t SELF_Lagrange_t module~self_lagrange~3->module~self_lagrange_t module~self_vector_2d_t SELF_Vector_2D_t module~self_vector_2d~2->module~self_vector_2d_t module~self_mappedvector_2d_t->FEQParse module~self_mappedvector_2d_t->module~self_constants module~self_mappedvector_2d_t->iso_c_binding module~self_mappedvector_2d_t->module~self_domaindecomposition module~self_mappedvector_2d_t->module~self_mesh_2d module~self_mappedvector_2d_t->module~self_geometry_2d module~self_mappedvector_2d_t->module~self_lagrange~3 module~self_mappedvector_2d_t->module~self_vector_2d~2 module~self_mappedvector_2d_t->module~self_tensor_2d~2 module~self_mesh_2d_t->module~self_mesh module~self_mesh_2d_t->module~self_supportroutines module~self_mesh_2d_t->module~self_constants module~self_mesh_2d_t->iso_c_binding module~self_mesh_2d_t->module~self_hdf5 module~self_mesh_2d_t->HDF5 module~self_mesh_2d_t->module~self_domaindecomposition module~self_mesh_2d_t->module~self_lagrange~3 module~self_mappedscalar_2d_t->FEQParse module~self_mappedscalar_2d_t->module~self_constants module~self_mappedscalar_2d_t->iso_c_binding module~self_mappedscalar_2d_t->module~self_domaindecomposition module~self_mappedscalar_2d_t->module~self_mesh_2d module~self_mappedscalar_2d_t->module~self_geometry_2d module~self_mappedscalar_2d_t->module~self_scalar_2d module~self_mappedscalar_2d_t->module~self_lagrange~3 module~self_mappedscalar_2d_t->module~self_tensor_2d~2 module~self_tensor_2d_t SELF_Tensor_2D_t module~self_tensor_2d~2->module~self_tensor_2d_t module~self_data->FEQParse module~self_data->module~self_constants module~self_data->iso_c_binding module~self_data->module~self_metadata module~self_data->module~self_hdf5 module~self_data->HDF5 module~self_data->module~self_lagrange~3 module~self_scalar_2d_t->FEQParse module~self_scalar_2d_t->module~self_constants module~self_scalar_2d_t->iso_c_binding module~self_scalar_2d_t->module~self_metadata module~self_scalar_2d_t->module~self_hdf5 module~self_scalar_2d_t->HDF5 module~self_scalar_2d_t->module~self_lagrange~3 module~self_scalar_2d_t->module~self_data module~self_lagrange_t->module~self_supportroutines module~self_lagrange_t->module~self_constants module~self_lagrange_t->iso_c_binding module~self_lagrange_t->module~self_hdf5 module~self_lagrange_t->HDF5 module~self_lagrange_t->iso_fortran_env module~self_quadrature SELF_Quadrature module~self_lagrange_t->module~self_quadrature module~self_vector_2d_t->FEQParse module~self_vector_2d_t->module~self_constants module~self_vector_2d_t->iso_c_binding module~self_vector_2d_t->module~self_metadata module~self_vector_2d_t->module~self_hdf5 module~self_vector_2d_t->HDF5 module~self_vector_2d_t->module~self_lagrange~3 module~self_vector_2d_t->module~self_data module~self_tensor_2d_t->FEQParse module~self_tensor_2d_t->module~self_constants module~self_tensor_2d_t->iso_c_binding module~self_tensor_2d_t->module~self_metadata module~self_tensor_2d_t->module~self_hdf5 module~self_tensor_2d_t->HDF5 module~self_tensor_2d_t->module~self_lagrange~3 module~self_tensor_2d_t->module~self_data module~self_quadrature->module~self_constants module~self_quadrature->iso_fortran_env

Used by

  • module~~self_lineareuler2d_t~~UsedByGraph module~self_lineareuler2d_t self_LinearEuler2D_t module~self_lineareuler2d~2 self_LinearEuler2D module~self_lineareuler2d~2->module~self_lineareuler2d_t module~self_lineareuler2d self_LinearEuler2D module~self_lineareuler2d->module~self_lineareuler2d_t

Contents

Derived Types

Functions

Subroutines


Derived Types

type, public, extends(DGModel2D) :: LinearEuler2D_t

Components

TypeVisibilityAttributesNameInitial
real(kind=prec), public :: c =1.0_prec
type(MappedScalar2D), public :: dSdt
real(kind=prec), public :: dt
real(kind=prec), public :: entropy
type(MappedVector2D), public :: flux
type(MappedScalar2D), public :: fluxDivergence
real(kind=prec), public :: g =0.0_prec
type(SEMQuad), public, pointer:: geometry
logical, public :: gradient_enabled =.false.
integer, public :: ioIterate =0
type(Mesh2D), public, pointer:: mesh
integer, public :: nvar
logical, public :: prescribed_bcs_enabled =.true.
real(kind=prec), public :: rho0 =1.0_prec
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(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_DGModel2D_t
procedure, public :: Euler_timeIntegrator
procedure, public :: FluxMethod => fluxmethod_DGModel2D_t
procedure, public :: ForwardStep => ForwardStep_Model
procedure, public :: Free => Free_DGModel2D_t
procedure, public :: GetSimulationTime
procedure, public :: IncrementIOCounter
procedure, public :: Init => Init_DGModel2D_t
procedure, public :: LowStorageRK2_timeIntegrator
procedure, public :: LowStorageRK3_timeIntegrator
procedure, public :: LowStorageRK4_timeIntegrator
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_LinearEuler2D_t
procedure, public :: SetNumberOfVariables => SetNumberOfVariables_LinearEuler2D_t
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 :: SphericalSoundWave => SphericalSoundWave_LinearEuler2D_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_LinearEuler2D_t
procedure, public :: flux1D => flux1d_Model
procedure, public :: flux2d => flux2d_LinearEuler2D_t
procedure, public :: flux3D => flux3d_Model
procedure, public :: hbc1d_NoNormalFlow => hbc1d_Generic_Model
procedure, public :: hbc1d_Prescribed => hbc1d_Prescribed_Model
procedure, public :: hbc1d_Radiation => hbc1d_Generic_Model
procedure, public :: hbc2d_NoNormalFlow => hbc2d_NoNormalFlow_LinearEuler2D_t
procedure, public :: hbc2d_Prescribed => hbc2d_Prescribed_Model
procedure, public :: hbc2d_Radiation => hbc2d_Generic_Model
procedure, public :: hbc3d_NoNormalFlow => hbc3d_Generic_Model
procedure, public :: hbc3d_Prescribed => hbc3d_Prescribed_Model
procedure, public :: hbc3d_Radiation => hbc3d_Generic_Model
procedure, public :: pbc1d_NoNormalFlow => pbc1d_Generic_Model
procedure, public :: pbc1d_Prescribed => pbc1d_Prescribed_Model
procedure, public :: pbc1d_Radiation => pbc1d_Generic_Model
procedure, public :: pbc2d_NoNormalFlow => pbc2d_Generic_Model
procedure, public :: pbc2d_Prescribed => pbc2d_Prescribed_Model
procedure, public :: pbc2d_Radiation => pbc2d_Generic_Model
procedure, public :: pbc3d_NoNormalFlow => pbc3d_Generic_Model
procedure, public :: pbc3d_Prescribed => pbc3d_Prescribed_Model
procedure, public :: pbc3d_Radiation => pbc3d_Generic_Model
procedure, public :: riemannflux1d => riemannflux1d_Model
procedure, public :: riemannflux2d => riemannflux2d_LinearEuler2D_t
procedure, public :: riemannflux3d => riemannflux3d_Model
procedure, public :: source1d => source1d_Model
procedure, public :: source2d => source2d_Model
procedure, public :: source3d => source3d_Model

Functions

public pure function entropy_func_LinearEuler2D_t(this, s) result(e)

The entropy function is the sum of kinetic and internal energy For the linear model, this is

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Arguments

TypeIntentOptionalAttributesName
class(LinearEuler2D_t), intent(in) :: this
real(kind=prec), intent(in) :: s(1:this%nvar)

Return Value real(kind=prec)

public pure function flux2d_LinearEuler2D_t(this, s, dsdx) result(flux)

Arguments

TypeIntentOptionalAttributesName
class(LinearEuler2D_t), intent(in) :: this
real(kind=prec), intent(in) :: s(1:this%nvar)
real(kind=prec), intent(in) :: dsdx(1:this%nvar,1:2)

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

public pure function hbc2d_NoNormalFlow_LinearEuler2D_t(this, s, nhat) result(exts)

Arguments

TypeIntentOptionalAttributesName
class(LinearEuler2D_t), intent(in) :: this
real(kind=prec), intent(in) :: s(1:this%nvar)
real(kind=prec), intent(in) :: nhat(1:2)

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

public pure function riemannflux2d_LinearEuler2D_t(this, sL, sR, dsdx, nhat) result(flux)

Uses a local lax-friedrich's upwind flux The max eigenvalue is taken as the sound speed

Arguments

TypeIntentOptionalAttributesName
class(LinearEuler2D_t), intent(in) :: this
real(kind=prec), intent(in) :: sL(1:this%nvar)
real(kind=prec), intent(in) :: sR(1:this%nvar)
real(kind=prec), intent(in) :: dsdx(1:this%nvar,1:2)
real(kind=prec), intent(in) :: nhat(1:2)

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


Subroutines

public subroutine SetMetadata_LinearEuler2D_t(this)

Arguments

TypeIntentOptionalAttributesName
class(LinearEuler2D_t), intent(inout) :: this

public subroutine SetNumberOfVariables_LinearEuler2D_t(this)

Arguments

TypeIntentOptionalAttributesName
class(LinearEuler2D_t), intent(inout) :: this

public subroutine SphericalSoundWave_LinearEuler2D_t(this, rhoprime, Lr, x0, y0)

This subroutine sets the initial condition for a weak blast wave problem. The initial condition is given by

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Arguments

TypeIntentOptionalAttributesName
class(LinearEuler2D_t), intent(inout) :: this
real(kind=prec), intent(in) :: rhoprime
real(kind=prec), intent(in) :: Lr
real(kind=prec), intent(in) :: x0
real(kind=prec), intent(in) :: y0