SetInteriorFromEquation_MappedVector3D_t Subroutine

  subroutine SetInteriorFromEquation_MappedVector3D_t(this,geometry,time)
    !!  Sets the this % interior attribute using the eqn attribute,
    !!  geometry (for physical positions), and provided simulation time.
    implicit none
    class(MappedVector3D_t),intent(inout) :: this
    type(SEMHex),intent(in) :: geometry
    real(prec),intent(in) :: time
    ! Local
    integer :: i,j,k,iEl,iVar
    real(prec) :: x
    real(prec) :: y
    real(prec) :: z

    do iVar = 1,this%nVar
      do iEl = 1,this%nElem
        do k = 1,this%interp%N+1
          do j = 1,this%interp%N+1
            do i = 1,this%interp%N+1

              ! Get the mesh positions
              x = geometry%x%interior(i,j,k,iEl,1,1)
              y = geometry%x%interior(i,j,k,iEl,1,2)
              z = geometry%x%interior(i,j,k,iEl,1,3)

              this%interior(i,j,k,iEl,iVar,1) = &
                this%eqn(1+3*(iVar-1))%Evaluate((/x,y,z,time/))

              this%interior(i,j,k,iEl,iVar,2) = &
                this%eqn(2+3*(iVar-1))%Evaluate((/x,y,z,time/))

              this%interior(i,j,k,iEl,iVar,3) = &
                this%eqn(3+3*(iVar-1))%Evaluate((/x,y,z,time/))

            enddo
          enddo
        enddo
      enddo
    enddo

  endsubroutine SetInteriorFromEquation_MappedVector3D_t