tem_intp_trilinearReduced_scal Function

  1. tem_math_module.f90
  2. tem_math_module
  3. tem_intp_trilinearReduced_scal

private function tem_intp_trilinearReduced_scal(srcVal, targetCoord) result(phi)

This function returns the tri-linearly interpolated values from the seven source points to the target position located at targetCoord. The source points are arranged in a square from (0,0,0)x(1,1,1) The order of the source points are according to the morton curve

Arguments

Type IntentOptional AttributesName
real(kind=rk), intent(in) :: srcVal(7)

source values of the square corners
real(kind=rk), intent(in) :: targetCoord(3)

interpolation location within the square

Return Value real(kind=rk)

interpolated value


Called by

proc~~tem_intp_trilinearreduced_scal~~CalledByGraph proc~tem_intp_trilinearreduced_scal tem_intp_trilinearReduced_scal interface~tem_intp_trilinearreduced tem_intp_trilinearReduced interface~tem_intp_trilinearreduced->proc~tem_intp_trilinearreduced_scal

Contents

Source Code

tem_intp_trilinearReduced_scal

Source Code

  function tem_intp_trilinearReduced_scal( srcVal, targetCoord ) result( phi )
    ! ---------------------------------------------------------------------------
    !> source values of the square corners
    real(kind=rk), intent(in) :: srcVal(7)
    !> interpolation location within the square
    real(kind=rk), intent(in) :: targetCoord(3)
    !> interpolated value
    real(kind=rk) :: phi
    ! ---------------------------------------------------------------------------
    real(kind=rk) :: phi_northFront, phi_southFront
    real(kind=rk) :: phi_northBack, phi_southBack
    real(kind=rk) :: phi_front, phi_back
    ! ---------------------------------------------------------------------------
    ! Linear interpolation on the cube front side (z = 0 )
    phi_northFront = (1._rk - targetCoord(1))* srcVal(3)                       &
      &                     + targetCoord(1) * srcVal(4)
    phi_southFront = (1._rk - targetCoord(1))* srcVal(1)                       &
      &                     + targetCoord(1) * srcVal(2)
    ! Linear interpolation on the cube back side (z = 1 )
    phi_northBack  = srcVal(7) !(1._rk - targetCoord(1))* srcVal(7) ! + targetCoord(1)*srcVal(8)
    phi_southBack  = (1._rk - targetCoord(1))* srcVal(5)                       &
      &                     + targetCoord(1) * srcVal(6)
    ! Linear interpolation on the cube front side (z = 0 )
    phi_front = (1._rk - targetCoord(2))* phi_southFront                       &
      &                + targetCoord(2) * phi_northFront
    ! Linear interpolation on the cube back side (z = 1 )
    phi_back  = (1._rk - targetCoord(2))* phi_southBack                        &
      &                + targetCoord(2) * phi_northBack
    phi       = (1._rk - targetCoord(3))* phi_front                            &
      &                + targetCoord(3) * phi_back

  end function tem_intp_trilinearReduced_scal