box_vlpl Subroutine

private subroutine box_vlpl(mg, id, nc, i_out)

Perform Laplacian operator on a box

Arguments

Type IntentOptional Attributes Name
type(mg_t), intent(inout) :: mg
integer, intent(in) :: id
integer, intent(in) :: nc
integer, intent(in) :: i_out

Index of variable to store Laplacian in


Source Code

  subroutine box_vlpl(mg, id, nc, i_out)
    type(mg_t), intent(inout) :: mg
    integer, intent(in)       :: id
    integer, intent(in)       :: nc
    integer, intent(in)       :: i_out
    !< Index of variable to store Laplacian in
    integer                   :: i
    real(dp)                  :: idr2(2*1), a0, u0, u(2*1), a(2*1)

    ! Duplicate 1/dr^2 array to multiply neighbor values
    idr2(1:2*1:2) = 1/mg%dr(:, mg%boxes(id)%lvl)**2
    idr2(2:2*1:2) = idr2(1:2*1:2)

    associate (cc => mg%boxes(id)%cc, n => mg_iphi, i_eps => mg_iveps)
      do i = 1, nc
         a0     = cc(i, i_eps)
         a(1:2) = cc(i-1:i+1:2, i_eps)
         u0     = cc(i, n)
         u(1:2) = cc(i-1:i+1:2, n)

         cc(i, i_out) = sum(2 * idr2 * a0*a(:)/(a0 + a(:)) * (u(:) - u0))
      end do
    end associate
  end subroutine box_vlpl