cs_gradient_boundary.h File Reference

#include "cs_base.h"
#include "cs_halo.h"
#include "cs_mesh.h"
#include "cs_mesh_quantities.h"

Include dependency graph for cs_gradient_boundary.h:

Go to the source code of this file.

Functions
void	cs_gradient_boundary_iprime_lsq_s (const cs_mesh_t *m, const cs_mesh_quantities_t *fvq, cs_lnum_t n_faces, const cs_lnum_t *face_ids, cs_halo_type_t halo_type, double clip_coeff, const cs_real_t *bc_coeff_a, const cs_real_t *bc_coeff_b, const cs_real_t c_weight[], const cs_real_t var[], cs_real_t *restrict var_iprime)
	Compute the values of a scalar at boundary face I' positions using least-squares interpolation. More...
void	cs_gradient_boundary_iprime_lsq_s_ani (const cs_mesh_t *m, const cs_mesh_quantities_t *fvq, cs_lnum_t n_faces, const cs_lnum_t *face_ids, double clip_coeff, const cs_real_t *bc_coeff_a, const cs_real_t *bc_coeff_b, const cs_real_t c_weight[][6], const cs_real_t var[], cs_real_t *restrict var_iprime)
	Compute the values of a scalar at boundary face I' positions using least-squares interpolation with anisotropic weighting. More...
void	cs_gradient_boundary_iprime_lsq_v (const cs_mesh_t *m, const cs_mesh_quantities_t *fvq, cs_lnum_t n_faces, const cs_lnum_t *face_ids, cs_halo_type_t halo_type, double clip_coeff, const cs_real_t bc_coeff_a[][3], const cs_real_t bc_coeff_b[][3][3], const cs_real_t c_weight[], const cs_real_t var[][3], cs_real_t var_iprime[restrict][3])
	Compute the values of a vector at boundary face I' positions using least-squares interpolation. More...
void	cs_gradient_boundary_iprime_lsq_t (const cs_mesh_t *m, const cs_mesh_quantities_t *fvq, cs_lnum_t n_faces, const cs_lnum_t *face_ids, cs_halo_type_t halo_type, double clip_coeff, const cs_real_t bc_coeff_a[][6], const cs_real_t bc_coeff_b[][6][6], const cs_real_t c_weight[], const cs_real_t var[][6], cs_real_t var_iprime[restrict][6])
	Compute the values of a symmetric tensor at boundary face I' positions using least-squares interpolation. More...

Function Documentation

cs_gradient_boundary_iprime_lsq_s()

void cs_gradient_boundary_iprime_lsq_s	(	const cs_mesh_t *	m,
		const cs_mesh_quantities_t *	fvq,
		cs_lnum_t	n_faces,
		const cs_lnum_t *	face_ids,
		cs_halo_type_t	halo_type,
		double	clip_coeff,
		const cs_real_t *	bc_coeff_a,
		const cs_real_t *	bc_coeff_b,
		const cs_real_t	c_weight[],
		const cs_real_t	var[],
		cs_real_t *restrict	var_iprime
	)

Compute the values of a scalar at boundary face I' positions using least-squares interpolation.

This assumes ghost cell values for the variable (var) are up-to-date.

A simple limiter is applied to ensure the maximum principle is preserved (using non-reconstructed values in case of non-homogeneous Neumann conditions).

Remarks

To compute the values at I', we only need the gradient along II', so in most cases, we could simply assume a Neumann BC for a given face.

We still use the provided BC's when possible, for the following cases:

• Given a non-uniform Dirichlet condition and a non-orthogonal mesh, the Dirichlet values at face centers (shifted by II' relative to I') can convey a portion of the information of the gradient along II'.
• For cells with multiple boundary faces, information from faces whose normals are not orthogonal to II' can also provide a significant contribution to the normal.

Parameters

[in]	m	pointer to associated mesh structure
[in]	fvq	pointer to associated finite volume quantities
[in]	n_faces	number of faces at which to compute values
[in]	face_ids	ids of boundary faces at which to compute values, or NULL for all
[in]	halo_type	halo (cell neighborhood) type
[in]	clip_coeff	clipping (limiter) coefficient (no limiter if < 0)
[in]	bc_coeff_a	boundary condition term a, or NULL
[in]	bc_coeff_b	boundary condition term b, or NULL
[in]	c_weight	cell variable weight, or NULL
[in]	var	variable values et cell centers
[out]	var_iprime	variable values et face iprime locations

cs_gradient_boundary_iprime_lsq_s_ani()

void cs_gradient_boundary_iprime_lsq_s_ani	(	const cs_mesh_t *	m,
		const cs_mesh_quantities_t *	fvq,
		cs_lnum_t	n_faces,
		const cs_lnum_t *	face_ids,
		double	clip_coeff,
		const cs_real_t *	bc_coeff_a,
		const cs_real_t *	bc_coeff_b,
		const cs_real_t	c_weight[][6],
		const cs_real_t	var[],
		cs_real_t *restrict	var_iprime
	)

Compute the values of a scalar at boundary face I' positions using least-squares interpolation with anisotropic weighting.

This assumes ghost cell values for the variable (var) are up-to-date.

A simple limiter is applied to ensure the maximum principle is preserved (using non-reconstructed values in case of non-homogeneous Neumann conditions).

Remarks

The same remark applies as for cs_gradient_boundary_iprime_lsq_s.

Parameters

[in]	m	pointer to associated mesh structure
[in]	fvq	pointer to associated finite volume quantities
[in]	n_faces	number of faces at which to compute values
[in]	face_ids	ids of boundary faces at which to compute values, or NULL for all
[in]	clip_coeff	clipping (limiter) coefficient (no limiter if < 0)
[in]	bc_coeff_a	boundary condition term a, or NULL
[in]	bc_coeff_b	boundary condition term b, or NULL
[in]	c_weight	cell variable weight, or NULL
[in]	var	variable values et cell centers
[out]	var_iprime	variable values et face iprime locations

cs_gradient_boundary_iprime_lsq_t()

void cs_gradient_boundary_iprime_lsq_t	(	const cs_mesh_t *	m,
		const cs_mesh_quantities_t *	fvq,
		cs_lnum_t	n_faces,
		const cs_lnum_t *	face_ids,
		cs_halo_type_t	halo_type,
		double	clip_coeff,
		const cs_real_t	bc_coeff_a[][6],
		const cs_real_t	bc_coeff_b[][6][6],
		const cs_real_t	c_weight[],
		const cs_real_t	var[][6],
		cs_real_t	var_iprime[restrict][6]
	)

Compute the values of a symmetric tensor at boundary face I' positions using least-squares interpolation.

This assumes ghost cell values which might be used are already synchronized.

A simple limiter is applied to ensure the maximum principle is preserved (using non-reconstructed values in case of non-homogeneous Neumann conditions).

This function uses a local iterative approach to compute the cell gradient, as handling of the boundary condition terms b in higher dimensions would otherwise require solving higher-dimensional systems, often at a higher cost.

Remarks

To compute the values at I', we only need the gradient along II', so in most cases, we could simply assume a Neuman BC.

The same logic is applied as for cs_gradient_boundary_iprime_lsq_s.

Parameters

[in]	m	pointer to associated mesh structure
[in]	fvq	pointer to associated finite volume quantities
[in]	n_faces	number of faces at which to compute values
[in]	face_ids	ids of boundary faces at which to compute values, or NULL for all
[in]	halo_type	halo (cell neighborhood) type
[in]	clip_coeff	clipping (limiter) coefficient (no limiter if < 0)
[in]	bc_coeff_a	boundary condition term a, or NULL
[in]	bc_coeff_b	boundary condition term b, or NULL
[in]	c_weight	cell variable weight, or NULL
[in]	var	variable values et cell centers
[out]	var_iprime	variable values et face iprime locations

cs_gradient_boundary_iprime_lsq_v()

void cs_gradient_boundary_iprime_lsq_v	(	const cs_mesh_t *	m,
		const cs_mesh_quantities_t *	fvq,
		cs_lnum_t	n_faces,
		const cs_lnum_t *	face_ids,
		cs_halo_type_t	halo_type,
		double	clip_coeff,
		const cs_real_t	bc_coeff_a[][3],
		const cs_real_t	bc_coeff_b[][3][3],
		const cs_real_t	c_weight[],
		const cs_real_t	var[][3],
		cs_real_t	var_iprime[restrict][3]
	)

Compute the values of a vector at boundary face I' positions using least-squares interpolation.

This assumes ghost cell values which might be used are already synchronized.

A simple limiter is applied to ensure the maximum principle is preserved (using non-reconstructed values in case of non-homogeneous Neumann conditions).

This function uses a local iterative approach to compute the cell gradient, as handling of the boundary condition terms b in higher dimensions would otherwise require solving higher-dimensional systems, often at a higher cost.

Remarks

To compute the values at I', we only need the gradient along II', so in most cases, we could simply assume a Neuman BC.

The same logic is applied as for cs_gradient_boundary_iprime_lsq_s.

Parameters

[in]	m	pointer to associated mesh structure
[in]	fvq	pointer to associated finite volume quantities
[in]	n_faces	number of faces at which to compute values
[in]	face_ids	ids of boundary faces at which to compute values, or NULL for all
[in]	halo_type	halo (cell neighborhood) type
[in]	clip_coeff	clipping (limiter) coefficient (no limiter if < 0)
[in]	bc_coeff_a	boundary condition term a, or NULL
[in]	bc_coeff_b	boundary condition term b, or NULL
[in]	c_weight	cell variable weight, or NULL
[in]	var	variable values et cell centers
[out]	var_iprime	variable values et face iprime locations