SELF_MappedTwoPointVector_3D_t Module

  1. SELF_MappedTwoPointVector_3D_t.f90
  2. SELF_MappedTwoPointVector_3D_t

Geometry-aware two-point vector and split-form divergence for 3-D.

The MappedDivergence routine follows the construction described in

Winters, Kopriva, Gassner, Hindenlang, "Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations", Lecture Notes in Computational Science and Engineering, 2021.

The contravariant two-point flux in the r-th computational direction is

F~^r_{(i,n),j,k} = sum_d (Ja^r_d(i,j,k) + Ja^r_d(n,j,k))/2 * f^d_{(i,n),j,k}

and similarly for the xi^2 and xi^3 sums (averaging (i,j,k)-(i,n,k) and (i,j,k)-(i,j,n) respectively). The physical divergence is

(1/J_{i,j,k}) * 2 * sum_n [ D_{n,i} F~^1 + D_{n,j} F~^2 + D_{n,k} F~^3 ]

interior(n,i,j,k,iEl,iVar,d) stores the physical-space two-point flux f^d in the d-th physical direction.


Uses

  • module~~self_mappedtwopointvector_3d_t~~UsesGraph module~self_mappedtwopointvector_3d_t SELF_MappedTwoPointVector_3D_t module~self_geometry_3d SELF_Geometry_3D module~self_mappedtwopointvector_3d_t->module~self_geometry_3d module~self_constants SELF_Constants module~self_mappedtwopointvector_3d_t->module~self_constants module~self_twopointvector_3d SELF_TwoPointVector_3D module~self_mappedtwopointvector_3d_t->module~self_twopointvector_3d module~self_lagrange~3 SELF_Lagrange module~self_mappedtwopointvector_3d_t->module~self_lagrange~3 iso_c_binding iso_c_binding module~self_mappedtwopointvector_3d_t->iso_c_binding module~self_geometry_3d->module~self_constants module~self_geometry_3d->module~self_lagrange~3 module~self_data SELF_Data module~self_geometry_3d->module~self_data module~self_supportroutines SELF_SupportRoutines module~self_geometry_3d->module~self_supportroutines module~self_vector_3d~2 SELF_Vector_3D module~self_geometry_3d->module~self_vector_3d~2 module~self_tensor_3d SELF_Tensor_3D module~self_geometry_3d->module~self_tensor_3d module~self_scalar_3d~2 SELF_Scalar_3D module~self_geometry_3d->module~self_scalar_3d~2 module~self_mesh_3d~2 SELF_Mesh_3D module~self_geometry_3d->module~self_mesh_3d~2 module~self_constants->iso_c_binding iso_fortran_env iso_fortran_env module~self_constants->iso_fortran_env module~self_twopointvector_3d_t SELF_TwoPointVector_3D_t module~self_twopointvector_3d->module~self_twopointvector_3d_t module~self_lagrange~3->module~self_constants module~self_lagrange~3->iso_c_binding module~self_lagrange_t SELF_Lagrange_t module~self_lagrange~3->module~self_lagrange_t module~self_lagrange~3->iso_fortran_env module~self_data->module~self_constants module~self_data->module~self_lagrange~3 module~self_data->iso_c_binding module~self_hdf5 SELF_HDF5 module~self_data->module~self_hdf5 module~self_metadata SELF_Metadata module~self_data->module~self_metadata HDF5 HDF5 module~self_data->HDF5 FEQParse FEQParse module~self_data->FEQParse module~self_supportroutines->module~self_constants module~self_supportroutines->iso_fortran_env module~self_twopointvector_3d_t->module~self_constants module~self_twopointvector_3d_t->module~self_lagrange~3 module~self_twopointvector_3d_t->iso_c_binding module~self_twopointvector_3d_t->module~self_data module~self_twopointvector_3d_t->module~self_metadata module~self_twopointvector_3d_t->FEQParse module~self_lagrange_t->module~self_constants module~self_lagrange_t->iso_c_binding module~self_lagrange_t->module~self_supportroutines module~self_lagrange_t->iso_fortran_env module~self_lagrange_t->module~self_hdf5 module~self_quadrature SELF_Quadrature module~self_lagrange_t->module~self_quadrature module~self_lagrange_t->HDF5 module~self_vector_3d_t SELF_Vector_3D_t module~self_vector_3d~2->module~self_vector_3d_t module~self_tensor_3d_t SELF_Tensor_3D_t module~self_tensor_3d->module~self_tensor_3d_t module~self_scalar_3d~2->module~self_constants module~self_scalar_3d~2->iso_c_binding module~self_scalar_3d_t SELF_Scalar_3D_t module~self_scalar_3d~2->module~self_scalar_3d_t module~self_mesh_3d_t SELF_Mesh_3D_t module~self_mesh_3d~2->module~self_mesh_3d_t module~self_hdf5->module~self_constants module~self_hdf5->iso_fortran_env module~self_hdf5->HDF5 mpi mpi module~self_hdf5->mpi module~self_metadata->module~self_hdf5 module~self_metadata->HDF5 module~self_vector_3d_t->module~self_constants module~self_vector_3d_t->module~self_lagrange~3 module~self_vector_3d_t->iso_c_binding module~self_vector_3d_t->module~self_data module~self_vector_3d_t->module~self_hdf5 module~self_vector_3d_t->module~self_metadata module~self_vector_3d_t->HDF5 module~self_vector_3d_t->FEQParse module~self_tensor_3d_t->module~self_constants module~self_tensor_3d_t->module~self_lagrange~3 module~self_tensor_3d_t->iso_c_binding module~self_tensor_3d_t->module~self_data module~self_tensor_3d_t->module~self_hdf5 module~self_tensor_3d_t->module~self_metadata module~self_tensor_3d_t->HDF5 module~self_tensor_3d_t->FEQParse module~self_scalar_3d_t->module~self_constants module~self_scalar_3d_t->module~self_lagrange~3 module~self_scalar_3d_t->iso_c_binding module~self_scalar_3d_t->module~self_data module~self_scalar_3d_t->module~self_hdf5 module~self_scalar_3d_t->module~self_metadata module~self_scalar_3d_t->HDF5 module~self_scalar_3d_t->FEQParse module~self_mesh_3d_t->module~self_constants module~self_mesh_3d_t->module~self_lagrange~3 module~self_mesh_3d_t->iso_c_binding module~self_mesh_3d_t->module~self_supportroutines module~self_mesh_3d_t->module~self_hdf5 module~self_mesh_3d_t->HDF5 module~self_mesh SELF_Mesh module~self_mesh_3d_t->module~self_mesh module~self_domaindecomposition~2 SELF_DomainDecomposition module~self_mesh_3d_t->module~self_domaindecomposition~2 module~self_quadrature->module~self_constants module~self_quadrature->iso_fortran_env module~self_mesh->module~self_constants module~self_mesh->iso_c_binding module~self_mesh->module~self_domaindecomposition~2 module~self_domaindecomposition_t SELF_DomainDecomposition_t module~self_domaindecomposition~2->module~self_domaindecomposition_t module~self_domaindecomposition_t->module~self_constants module~self_domaindecomposition_t->module~self_lagrange~3 module~self_domaindecomposition_t->iso_c_binding module~self_domaindecomposition_t->module~self_supportroutines module~self_domaindecomposition_t->mpi

Used by

  • module~~self_mappedtwopointvector_3d_t~~UsedByGraph module~self_mappedtwopointvector_3d_t SELF_MappedTwoPointVector_3D_t module~self_mappedtwopointvector_3d~2 SELF_MappedTwoPointVector_3D module~self_mappedtwopointvector_3d~2->module~self_mappedtwopointvector_3d_t module~self_mappedtwopointvector_3d SELF_MappedTwoPointVector_3D module~self_mappedtwopointvector_3d->module~self_mappedtwopointvector_3d_t module~self_ecdgmodel3d_t SELF_ECDGModel3D_t module~self_ecdgmodel3d_t->module~self_mappedtwopointvector_3d~2 module~self_ecadvection3d_t SELF_ECAdvection3D_t module~self_ecadvection3d_t->module~self_ecdgmodel3d_t module~self_ecadvection3d SELF_ECAdvection3D module~self_ecadvection3d->module~self_ecdgmodel3d_t module~self_ecadvection3d->module~self_ecadvection3d_t module~self_ecdgmodel3d~2 SELF_ECDGModel3D module~self_ecdgmodel3d~2->module~self_ecdgmodel3d_t module~self_ecdgmodel3d SELF_ECDGModel3D module~self_ecdgmodel3d->module~self_ecdgmodel3d_t module~self_ecadvection3d~2 SELF_ECAdvection3D module~self_ecadvection3d~2->module~self_ecadvection3d_t

Contents

Derived Types

Subroutines


Derived Types

type, public, extends(TwoPointVector3D) :: MappedTwoPointVector3D_t

Components

TypeVisibilityAttributesNameInitial
integer, public :: M
integer, public :: N
character(len=3), public :: backend ="cpu"
type(EquationParser), public, allocatable:: eqn(:)
type(SEMHex), public, pointer:: geometry=> null()
logical, public :: geometry_associated =.false.
real(kind=prec), public, pointer, contiguous, dimension(:,:,:,:,:,:,:):: interior
type(Lagrange), public, pointer:: interp
type(Metadata), public, allocatable:: meta(:)
integer, public :: nElem
integer, public :: nVar

Type-Bound Procedures

procedure, public :: AssociateGeometry => AssociateGeometry_MappedTwoPointVector3D_t
procedure, public :: DissociateGeometry => DissociateGeometry_MappedTwoPointVector3D_t
generic, public :: Divergence => Divergence_TwoPointVector3D_t
procedure, public :: Free => Free_TwoPointVector3D_t
procedure, public :: Init => Init_TwoPointVector3D_t
generic, public :: MappedDivergence => MappedDivergence_MappedTwoPointVector3D_t
procedure, private :: MappedDivergence_MappedTwoPointVector3D_t
procedure, public :: SetDescription => SetDescription_DataObj
generic, public :: SetEquation => SetEquation_DataObj
procedure, public :: SetName => SetName_DataObj
procedure, public :: SetUnits => SetUnits_DataObj
procedure, public :: UpdateDevice => UpdateDevice_TwoPointVector3D_t
procedure, public :: UpdateHost => UpdateHost_TwoPointVector3D_t

Subroutines

public subroutine AssociateGeometry_MappedTwoPointVector3D_t(this, geometry)

Arguments

TypeIntentOptionalAttributesName
class(MappedTwoPointVector3D_t), intent(inout) :: this
type(SEMHex), intent(in), target:: geometry

public subroutine DissociateGeometry_MappedTwoPointVector3D_t(this)

Arguments

TypeIntentOptionalAttributesName
class(MappedTwoPointVector3D_t), intent(inout) :: this

public subroutine MappedDivergence_MappedTwoPointVector3D_t(this, df)

Computes the physical-space divergence of a 3-D split-form vector field on a curvilinear mesh.

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Arguments

TypeIntentOptionalAttributesName
class(MappedTwoPointVector3D_t), intent(in) :: this
real(kind=prec), intent(out) :: df(1:this%N+1,1:this%N+1,1:this%N+1,1:this%nElem,1:this%nVar)