TwoPointFluxMethod_ECDGModel3D_t Subroutine

public subroutine TwoPointFluxMethod_ECDGModel3D_t(this)

Computes pre-projected SCALAR contravariant two-point fluxes for all node pairs, following Trixi.jl for curved meshes. Each direction r uses the correct partner AND the correct averaged metric Ja^r.

Arguments

TypeIntentOptionalAttributesName
class(ECDGModel3D_t), intent(inout) :: this

Contents


Source Code

  subroutine TwoPointFluxMethod_ECDGModel3D_t(this)
    !! Computes pre-projected SCALAR contravariant two-point fluxes for all
    !! node pairs, following Trixi.jl for curved meshes. Each direction r
    !! uses the correct partner AND the correct averaged metric Ja^r.
    implicit none
    class(ECDGModel3D_t),intent(inout) :: this
    ! Local
    integer :: nn,i,j,k,d,iEl,iVar
    real(prec) :: sL(1:this%nvar),sR(1:this%nvar)
    real(prec) :: Fphys(1:this%nvar,1:3)
    real(prec) :: Fc

    do concurrent(nn=1:this%solution%N+1,i=1:this%solution%N+1, &
                  j=1:this%solution%N+1,k=1:this%solution%N+1, &
                  iEl=1:this%mesh%nElem)

      sL = this%solution%interior(i,j,k,iEl,1:this%nvar)

      ! xi^1: pair (i,j,k)-(nn,j,k), project onto avg(Ja^1)
      sR = this%solution%interior(nn,j,k,iEl,1:this%nvar)
      Fphys = this%twopointflux3d(sL,sR)
      do iVar = 1,this%nvar
        Fc = 0.0_prec
        do d = 1,3
          Fc = Fc+0.5_prec*( &
               this%geometry%dsdx%interior(i,j,k,iEl,1,d,1)+ &
               this%geometry%dsdx%interior(nn,j,k,iEl,1,d,1))* &
               Fphys(iVar,d)
        enddo
        this%twoPointFlux%interior(nn,i,j,k,iEl,iVar,1) = Fc
      enddo

      ! xi^2: pair (i,j,k)-(i,nn,k), project onto avg(Ja^2)
      sR = this%solution%interior(i,nn,k,iEl,1:this%nvar)
      Fphys = this%twopointflux3d(sL,sR)
      do iVar = 1,this%nvar
        Fc = 0.0_prec
        do d = 1,3
          Fc = Fc+0.5_prec*( &
               this%geometry%dsdx%interior(i,j,k,iEl,1,d,2)+ &
               this%geometry%dsdx%interior(i,nn,k,iEl,1,d,2))* &
               Fphys(iVar,d)
        enddo
        this%twoPointFlux%interior(nn,i,j,k,iEl,iVar,2) = Fc
      enddo

      ! xi^3: pair (i,j,k)-(i,j,nn), project onto avg(Ja^3)
      sR = this%solution%interior(i,j,nn,iEl,1:this%nvar)
      Fphys = this%twopointflux3d(sL,sR)
      do iVar = 1,this%nvar
        Fc = 0.0_prec
        do d = 1,3
          Fc = Fc+0.5_prec*( &
               this%geometry%dsdx%interior(i,j,k,iEl,1,d,3)+ &
               this%geometry%dsdx%interior(i,j,nn,iEl,1,d,3))* &
               Fphys(iVar,d)
        enddo
        this%twoPointFlux%interior(nn,i,j,k,iEl,iVar,3) = Fc
      enddo

    enddo

  endsubroutine TwoPointFluxMethod_ECDGModel3D_t