mod_laplacian_operator_cell_to_cell Module Reference

Laplacian operator from cells to cells.

Functions/Subroutines
subroutine	laplacian_operator_cell_to_cell (field, laplacian, order)
	Laplacian using n-th order centered differences.
subroutine	laplacian_operator_cell_to_cell_generic (scheme_second, field, field_res)
	Compute the laplacian of field on cells with the given scheme.

Function/Subroutine Documentation

laplacian_operator_cell_to_cell()

subroutine mod_laplacian_operator_cell_to_cell::laplacian_operator_cell_to_cell	(	double precision, dimension(:,:,:), intent(in)	field,
		double precision, dimension(:,:,:), intent(inout)	laplacian,
		integer	order )

Laplacian using n-th order centered differences.

The Laplacian of \( \phi \) is

\begin{align} \Delta \phi &= \frac{\partial^2 \phi}{\partial x \partial x} + \frac{\partial^2 \phi}{\partial y \partial y} + \frac{\partial^2 \phi}{\partial z \partial z} \,. \end{align}

The actual scheme is selected using the order and direction arguments. The former selects the order of finites differences, while the latter select the centering

Valid values for order is 2 and 4.

Parameters

[in]	field	cell field to derivate
[in,out]	laplacian	cell field holding the Hessian
[in]	order	of the finite-difference scheme

laplacian_operator_cell_to_cell_generic()

subroutine mod_laplacian_operator_cell_to_cell::laplacian_operator_cell_to_cell_generic	(	class(t_fd_scheme), intent(inout)	scheme_second,
		double precision, dimension(:,:,:), intent(in)	field,
		double precision, dimension(:,:,:), intent(inout)	field_res )

Parameters

[in,out]	scheme_second	the second FD scheme
[in]	field	the input field for which we comptue the gradient
[in,out]	field_res	the resulting gradient field