mod_gradient_operator_cell_to_cell Module Reference

Gradient operator from cells to cells.

Functions/Subroutines
subroutine	gradient_operator_cell_to_cell (field, order, direction, gradient)
	Gradient using n-th order differences.
subroutine	gradient_operator_cell_to_cell_generic (scheme, field, field_res)
	Compute the gradient of field on cells with the given scheme.
double precision function, dimension(spatial_dimension)	gradient_operator_cell_to_cell_unit_generic (scheme, field, i, j, k)
	Compute the gradient of the field at i,j,k
subroutine	gradient_operator_cell_to_cell_weno_generic (scheme, field, field_res)
	Compute the gradient of field on cells with the given scheme.
double precision function, dimension(spatial_dimension)	gradient_operator_cell_to_cell_weno_unit_generic (scheme, field, i, j, k)
	Compute the gradient of the field at i,j,k

Function/Subroutine Documentation

gradient_operator_cell_to_cell()

subroutine mod_gradient_operator_cell_to_cell::gradient_operator_cell_to_cell	(	double precision, dimension(:,:,:), intent(in)	field,
		integer, intent(in)	order,
		integer, intent(in)	direction,
		double precision, dimension(:,:,:,:), intent(inout)	gradient )

Gradient using n-th order differences.

The gradient of \( \phi \) is the vector

\begin{align} \nabla \phi &= \left( \frac{\partial \phi}{\partial x} , \frac{\partial \phi}{\partial y} , \frac{\partial \phi}{\partial z} \right) \,. \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 1, 2, 3, and 4.

Valid values for direction is -1 (backward), 0 (centered), and +1 (forward).

Note

Choosing order == 3 corresponds to the WENO3 scheme, in which case the direction is ignored.

Parameters

[in]	field	cell field to derivate
[in]	order	order of the finite-difference scheme
[in]	direction	centering of the finite-difference scheme
[out]	gradient	rank-4 cell field holding the gradient

gradient_operator_cell_to_cell_generic()

subroutine mod_gradient_operator_cell_to_cell::gradient_operator_cell_to_cell_generic	(	class(t_fd_scheme), intent(inout)	scheme,
		double precision, dimension(:,:,:), intent(in)	field,
		double precision, dimension(:,:,:,:), intent(inout)	field_res )

Parameters

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

gradient_operator_cell_to_cell_unit_generic()

double precision function, dimension(spatial_dimension) mod_gradient_operator_cell_to_cell::gradient_operator_cell_to_cell_unit_generic	(	class(t_fd_scheme), intent(inout)	scheme,
		double precision, dimension(:,:,:), intent(in)	field,
		integer, intent(in)	i,
		integer, intent(in)	j,
		integer, intent(in)	k )

Parameters

[in,out]	scheme	the FD scheme
[in]	field	the input field
[in]	i,j,k	the indices where to compute the gradient

Returns

the gradient of field at i,j,k with the given scheme

gradient_operator_cell_to_cell_weno_generic()

subroutine mod_gradient_operator_cell_to_cell::gradient_operator_cell_to_cell_weno_generic	(	class(t_fd_weno_scheme), intent(inout)	scheme,
		double precision, dimension(:,:,:), intent(in)	field,
		double precision, dimension(:,:,:,:), intent(inout)	field_res )

Parameters

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

gradient_operator_cell_to_cell_weno_unit_generic()

double precision function, dimension(spatial_dimension) mod_gradient_operator_cell_to_cell::gradient_operator_cell_to_cell_weno_unit_generic	(	class(t_fd_weno_scheme), intent(inout)	scheme,
		double precision, dimension(:,:,:), intent(in)	field,
		integer, intent(in)	i,
		integer, intent(in)	j,
		integer, intent(in)	k )

Parameters

[in,out]	scheme	the FD scheme
[in]	field	the input field
[in]	i,j,k	the indices where to compute the gradient

Returns

the gradient of field at i,j,k with the given scheme