tem_intp_trilinear_scalar Function

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

This function returns the tri-linearly interpolated values from the eight 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 1 2 3 4 (0,0,0); (1,0,0); (0,1,0); (1,1,0) 5 6 7 8 (0,0,1); (1,0,1); (0,1,1); (1,1,1)

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(in) :: srcVal(8)

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_trilinear_scalar~~CalledByGraph proc~tem_intp_trilinear_scalar tem_intp_trilinear_scalar interface~tem_intp_trilinear tem_intp_trilinear interface~tem_intp_trilinear->proc~tem_intp_trilinear_scalar

Source Code

  function tem_intp_trilinear_scalar( srcVal, targetCoord ) result( phi )
    ! -------------------------------------------------------------------- !
    !> source values of the square corners
    real(kind=rk), intent(in) :: srcVal(8)
    !> 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 = (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_trilinear_scalar