WriteTecplot_DGModel2D_t Subroutine

  subroutine WriteTecplot_DGModel2D_t(this,filename)
    implicit none
    class(DGModel2D_t),intent(inout) :: this
    character(*),intent(in),optional :: filename
    ! Local
    character(8) :: zoneID
    integer :: fUnit
    integer :: iEl,i,j,iVar
    character(LEN=self_FileNameLength) :: tecFile
    character(LEN=self_TecplotHeaderLength) :: tecHeader
    character(LEN=self_FormatLength) :: fmat
    character(13) :: timeStampString
    character(5) :: rankString
    type(Scalar2D) :: solution
    type(Scalar2D) :: dsdt
    type(Vector2D) :: solutionGradient
    type(Vector2D) :: x
    type(Lagrange),target :: interp

    if(present(filename)) then
      tecFile = filename
    else
      write(timeStampString,'(I13.13)') this%ioIterate

      if(this%mesh%decomp%mpiEnabled) then
        write(rankString,'(I5.5)') this%mesh%decomp%rankId
        tecFile = 'solution.'//rankString//'.'//timeStampString//'.tec'
      else
        tecFile = 'solution.'//timeStampString//'.tec'
      endif

    endif

    ! Create an interpolant for the uniform grid
    call interp%Init(this%solution%interp%M, &
                     this%solution%interp%targetNodeType, &
                     this%solution%interp%N, &
                     this%solution%interp%controlNodeType)

    call solution%Init(interp, &
                       this%solution%nVar,this%solution%nElem)

    call dsdt%Init(interp, &
                   this%solution%nVar,this%solution%nElem)

    call solutionGradient%Init(interp, &
                               this%solution%nVar,this%solution%nElem)

    call x%Init(interp,1,this%solution%nElem)

    call this%solution%UpdateHost()
    call this%solutionGradient%UpdateHost()
    call this%dsdt%UpdateHost()

    ! Map the mesh positions to the target grid
    call this%geometry%x%GridInterp(x%interior)

    ! Map the solution to the target grid
    call this%solution%GridInterp(solution%interior)
    call this%dsdt%GridInterp(dsdt%interior)

    ! Map the solution to the target grid
    call this%solutionGradient%GridInterp(solutionGradient%interior)

    open(UNIT=NEWUNIT(fUnit), &
         FILE=trim(tecFile), &
         FORM='formatted', &
         STATUS='replace')

    tecHeader = 'VARIABLES = "X", "Y"'
    do iVar = 1,this%solution%nVar
      tecHeader = trim(tecHeader)//', "'//trim(this%solution%meta(iVar)%name)//'"'
    enddo

    do iVar = 1,this%solution%nVar
      tecHeader = trim(tecHeader)//', "d/dx('//trim(this%solution%meta(iVar)%name)//')"'
    enddo

    do iVar = 1,this%solution%nVar
      tecHeader = trim(tecHeader)//', "d/dy('//trim(this%solution%meta(iVar)%name)//')"'
    enddo

    do iVar = 1,this%solution%nVar
      tecHeader = trim(tecHeader)//', "d/dt('//trim(this%solution%meta(iVar)%name)//')"'
    enddo

    write(fUnit,*) trim(tecHeader)

    ! Create format statement
    write(fmat,*) 4*this%solution%nvar+2
    fmat = '('//trim(fmat)//'(ES16.7E3,1x))'

    do iEl = 1,this%solution%nElem

      ! TO DO :: Get the global element ID
      write(zoneID,'(I8.8)') iEl
      write(fUnit,*) 'ZONE T="el'//trim(zoneID)//'", I=',this%solution%interp%M+1, &
        ', J=',this%solution%interp%M+1

      do j = 1,this%solution%interp%M+1
        do i = 1,this%solution%interp%M+1

          write(fUnit,fmat) x%interior(i,j,iEl,1,1), &
            x%interior(i,j,iEl,1,2), &
            solution%interior(i,j,iEl,1:this%solution%nvar), &
            solutionGradient%interior(i,j,iEl,1:this%solution%nvar,1), &
            solutionGradient%interior(i,j,iEl,1:this%solution%nvar,2), &
            dsdt%interior(i,j,iEl,1:this%solution%nvar)

        enddo
      enddo

    enddo

    close(UNIT=fUnit)

    call x%Free()
    call solution%Free()
    call dsdt%Free()
    call interp%Free()

  endsubroutine WriteTecplot_DGModel2D_t