SELF_MappedTwoPointVector_3D_t.f90 Source File

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module 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.

  use SELF_Constants
  use SELF_Lagrange
  use SELF_Geometry_3D
  use SELF_TwoPointVector_3D
  use iso_c_binding

  implicit none

  type,extends(TwoPointVector3D),public :: MappedTwoPointVector3D_t

    logical :: geometry_associated = .false.
    type(SEMHex),pointer :: geometry => null()

  contains

    procedure,public :: AssociateGeometry => AssociateGeometry_MappedTwoPointVector3D_t
    procedure,public :: DissociateGeometry => DissociateGeometry_MappedTwoPointVector3D_t

    generic,public :: MappedDivergence => MappedDivergence_MappedTwoPointVector3D_t
    procedure,private :: MappedDivergence_MappedTwoPointVector3D_t

  endtype MappedTwoPointVector3D_t

contains

  subroutine AssociateGeometry_MappedTwoPointVector3D_t(this,geometry)
    implicit none
    class(MappedTwoPointVector3D_t),intent(inout) :: this
    type(SEMHex),target,intent(in) :: geometry

    if(.not. associated(this%geometry)) then
      this%geometry => geometry
      this%geometry_associated = .true.
    endif

  endsubroutine AssociateGeometry_MappedTwoPointVector3D_t

  subroutine DissociateGeometry_MappedTwoPointVector3D_t(this)
    implicit none
    class(MappedTwoPointVector3D_t),intent(inout) :: this

    if(associated(this%geometry)) then
      this%geometry => null()
      this%geometry_associated = .false.
    endif

  endsubroutine DissociateGeometry_MappedTwoPointVector3D_t

  subroutine MappedDivergence_MappedTwoPointVector3D_t(this,df)
    !! Computes the physical-space divergence of a 3-D split-form vector field
    !! on a curvilinear mesh.
    !!
    !! Convention (following Trixi.jl for curved meshes):
    !! interior(n,i,j,k,iEl,iVar,r) holds the pre-projected SCALAR contravariant
    !! two-point flux for the r-th computational direction.
    !! MappedDivergence applies the reference-element split-form sum and
    !! divides by J.
    implicit none
    class(MappedTwoPointVector3D_t),intent(in) :: this
    real(prec),intent(out) :: &
      df(1:this%N+1,1:this%N+1,1:this%N+1,1:this%nElem,1:this%nVar)
    ! Local
    integer :: i,j,k,iEl,iVar

    call this%Divergence(df)

    do concurrent(i=1:this%N+1,j=1:this%N+1,k=1:this%N+1, &
                  iEl=1:this%nElem,iVar=1:this%nVar)
      df(i,j,k,iEl,iVar) = df(i,j,k,iEl,iVar)/this%geometry%J%interior(i,j,k,iEl,1)
    enddo

  endsubroutine MappedDivergence_MappedTwoPointVector3D_t

endmodule SELF_MappedTwoPointVector_3D_t