cs_cdo_diffusion.h File Reference

#include "cs_cdo_bc.h"
#include "cs_cdo_connect.h"
#include "cs_cdo_local.h"
#include "cs_cdo_quantities.h"
#include "cs_hodge.h"
#include "cs_param.h"

Include dependency graph for cs_cdo_diffusion.h:

Go to the source code of this file.

Typedefs
typedef void()	cs_cdo_diffusion_flux_trace_t(const cs_face_mesh_t *fm, const cs_cell_mesh_t *cm, const cs_real_3_t mnu, double beta, cs_cell_builder_t *cb, cs_sdm_t *ntrgrd)
	Compute the diffusion flux operator which corresponds to the normal trace operator for a given border face. Different algorithm can be used to reconstruct this flux. More...
typedef void()	cs_cdo_cellwise_diffusion_flux_t(const cs_cell_mesh_t *cm, const cs_real_t *pot, cs_cell_builder_t *cb, cs_real_t *flx)
	Cellwise computation of the diffusive flux. More...
typedef void()	cs_cdo_diffusion_enforce_dir_t(const cs_param_hodge_t h_info, const cs_cell_mesh_t *cm, cs_cdo_diffusion_flux_trace_t *flux_op, cs_face_mesh_t *fm, cs_cell_builder_t *cb, cs_cell_sys_t *csys)
	Take into account Dirichlet BCs by a weak enforcement using Nitsche technique (symmetrized or not) or penalization. More...

Functions
void	cs_cdovcb_diffusion_flux_op (const cs_face_mesh_t *fm, const cs_cell_mesh_t *cm, const cs_real_3_t pty_nuf, double beta, cs_cell_builder_t *cb, cs_sdm_t *ntrgrd)
	Compute the normal trace operator for a given border face when a WBS algo. is used for reconstructing the degrees of freedom Specific to CDO-V+C schemes. More...
void	cs_cdovb_diffusion_wbs_flux_op (const cs_face_mesh_t *fm, const cs_cell_mesh_t *cm, const cs_real_3_t pty_nuf, double beta, cs_cell_builder_t *cb, cs_sdm_t *ntrgrd)
	Compute the normal trace operator for a given border face when a WBS algo. is used for reconstructing the degrees of freedom. More...
void	cs_cdovb_diffusion_cost_flux_op (const cs_face_mesh_t *fm, const cs_cell_mesh_t *cm, const cs_real_3_t mnu, double beta, cs_cell_builder_t *cb, cs_sdm_t *ntrgrd)
	Compute the normal trace operator for a given border face when a COST algo. is used for reconstructing the degrees of freedom. More...
void	cs_cdo_diffusion_pena_dirichlet (const cs_param_hodge_t h_info, const cs_cell_mesh_t *cm, cs_cdo_diffusion_flux_trace_t *flux_op, cs_face_mesh_t *fm, cs_cell_builder_t *cb, cs_cell_sys_t *csys)
	Take into account Dirichlet BCs by a weak enforcement using Nitsche technique (symmetrized or not) or penalization. More...
void	cs_cdo_diffusion_pena_block_dirichlet (const cs_param_hodge_t h_info, const cs_cell_mesh_t *cm, cs_cdo_diffusion_flux_trace_t *flux_op, cs_face_mesh_t *fm, cs_cell_builder_t *cb, cs_cell_sys_t *csys)
	Take into account Dirichlet BCs by a weak enforcement by a penalization technique with a huge value. Case of a cellwise system defined by block. More...
void	cs_cdovb_diffusion_wsym_dirichlet (const cs_param_hodge_t h_info, const cs_cell_mesh_t *cm, cs_cdo_diffusion_flux_trace_t *flux_op, cs_face_mesh_t *fm, cs_cell_builder_t *cb, cs_cell_sys_t *csys)
	Take into account Dirichlet BCs by a weak enforcement using Nitsche technique plus a symmetric treatment. More...
void	cs_cdovb_diffusion_weak_dirichlet (const cs_param_hodge_t h_info, const cs_cell_mesh_t *cm, cs_cdo_diffusion_flux_trace_t *flux_op, cs_face_mesh_t *fm, cs_cell_builder_t *cb, cs_cell_sys_t *csys)
	Take into account Dirichlet BCs by a weak enforcement using Nitsche technique. More...
void	cs_cdo_diffusion_vcost_get_dfbyc_flux (const cs_cell_mesh_t *cm, const double *pot, cs_cell_builder_t *cb, double *flx)
	Compute the diffusive flux across dual faces for a given cell Use the COST algo. for computing the discrete Hodge op. This function is dedicated to vertex-based schemes. Flux = -Hdg * GRAD(pot) More...
void	cs_cdo_diffusion_vcost_get_pc_flux (const cs_cell_mesh_t *cm, const double *pot, cs_cell_builder_t *cb, double *flx)
	Compute the diffusive flux inside a (primal) cell Use the COST algo. for computing the discrete Hodge op. This function is dedicated to vertex-based schemes. Flux = -Hdg * GRAD(pot) More...
void	cs_cdo_diffusion_wbs_get_dfbyc_flux (const cs_cell_mesh_t *cm, const cs_real_t *pot, cs_cell_builder_t *cb, cs_real_t *flx)
	Compute the diffusive flux across dual faces for a given cell Use the WBS algo. for approximating the gradient The computation takes into account a subdivision into tetrahedra of the current cell based on p_{ef,c}. More...
void	cs_cdo_diffusion_wbs_get_pc_flux (const cs_cell_mesh_t *cm, const cs_real_t *pot, cs_cell_builder_t *cb, cs_real_t *flx)
	Compute the diffusive flux inside a given primal cell Use the WBS algo. for approximating the gradient The computation takes into account a subdivision into tetrahedra of the current cell based on p_{ef,c}. More...
double	cs_cdo_diffusion_face_flux (const cs_face_mesh_t *fm, const cs_real_t pty_tens[3][3], const double *p_v, const double p_f, const double p_c, cs_cell_builder_t *cb)
	Compute the diffusive flux across a face (based on a subdivision into tetrahedra of the volume p_{f,c}) More...

Typedef Documentation

cs_cdo_cellwise_diffusion_flux_t

typedef void() cs_cdo_cellwise_diffusion_flux_t(const cs_cell_mesh_t *cm, const cs_real_t *pot, cs_cell_builder_t *cb, cs_real_t *flx)

Cellwise computation of the diffusive flux.

Parameters

[in]	cm	pointer to a cs_face_mesh_t structure
[in]	pot	values of the potential fields at vertices
[in,out]	cb	auxiliary structure for computing the flux
[in,out]	flx	flux across dual faces inside this cell

cs_cdo_diffusion_enforce_dir_t

typedef void() cs_cdo_diffusion_enforce_dir_t(const cs_param_hodge_t h_info, const cs_cell_mesh_t *cm, cs_cdo_diffusion_flux_trace_t *flux_op, cs_face_mesh_t *fm, cs_cell_builder_t *cb, cs_cell_sys_t *csys)

Take into account Dirichlet BCs by a weak enforcement using Nitsche technique (symmetrized or not) or penalization.

Parameters

[in]	h_info	cs_param_hodge_t structure for diffusion
[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	flux_op	function pointer to the flux trace operator
[in,out]	fm	pointer to a cs_face_mesh_t structure
[in,out]	cb	pointer to a cs_cell_builder_t structure
[in,out]	csys	structure storing the cell-wise system

cs_cdo_diffusion_flux_trace_t

typedef void() cs_cdo_diffusion_flux_trace_t(const cs_face_mesh_t *fm, const cs_cell_mesh_t *cm, const cs_real_3_t mnu, double beta, cs_cell_builder_t *cb, cs_sdm_t *ntrgrd)

Compute the diffusion flux operator which corresponds to the normal trace operator for a given border face. Different algorithm can be used to reconstruct this flux.

Parameters

[in]	fm	pointer to a cs_face_mesh_t structure
[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	mnu	property tensor times the face normal
[in]	beta	value of the stabilization coef. or zero if not used
[in,out]	cb	pointer to a cell builder structure
[in,out]	ntrgrd	local matrix related to the normal trace op. i.e. the flux operator

Function Documentation

cs_cdo_diffusion_face_flux()

double cs_cdo_diffusion_face_flux	(	const cs_face_mesh_t *	fm,
		const cs_real_t	pty_tens[3][3],
		const double *	p_v,
		const double	p_f,
		const double	p_c,
		cs_cell_builder_t *	cb
	)

Compute the diffusive flux across a face (based on a subdivision into tetrahedra of the volume p_{f,c})

Parameters

[in]	fm	pointer to a cs_face_mesh_t structure
[in]	pty_tens	3x3 matrix related to the diffusion property
[in]	p_v	array of values attached to face vertices
[in]	p_f	value attached to the face
[in]	p_c	value attached to the cell
[in,out]	cb	auxiliary structure dedicated to diffusion

Returns

the value of the diffusive flux across the current face

cs_cdo_diffusion_pena_block_dirichlet()

void cs_cdo_diffusion_pena_block_dirichlet	(	const cs_param_hodge_t	h_info,
		const cs_cell_mesh_t *	cm,
		cs_cdo_diffusion_flux_trace_t *	flux_op,
		cs_face_mesh_t *	fm,
		cs_cell_builder_t *	cb,
		cs_cell_sys_t *	csys
	)

Take into account Dirichlet BCs by a weak enforcement by a penalization technique with a huge value. Case of a cellwise system defined by block.

Parameters

[in]	h_info	cs_param_hodge_t structure for diffusion
[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	flux_op	function pointer to the flux trace operator
[in,out]	fm	pointer to a cs_face_mesh_t structure
[in,out]	cb	pointer to a cs_cell_builder_t structure
[in,out]	csys	structure storing the cell-wise system

cs_cdo_diffusion_pena_dirichlet()

void cs_cdo_diffusion_pena_dirichlet	(	const cs_param_hodge_t	h_info,
		const cs_cell_mesh_t *	cm,
		cs_cdo_diffusion_flux_trace_t *	flux_op,
		cs_face_mesh_t *	fm,
		cs_cell_builder_t *	cb,
		cs_cell_sys_t *	csys
	)

Take into account Dirichlet BCs by a weak enforcement using Nitsche technique (symmetrized or not) or penalization.

Parameters

[in]	h_info	cs_param_hodge_t structure for diffusion
[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	flux_op	function pointer to the flux trace operator
[in,out]	fm	pointer to a cs_face_mesh_t structure
[in,out]	cb	pointer to a cs_cell_builder_t structure
[in,out]	csys	structure storing the cell-wise system

Take into account Dirichlet BCs by a weak enforcement using Nitsche technique (symmetrized or not) or penalization.

Parameters

[in]	h_info	cs_param_hodge_t structure for diffusion
[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	flux_op	function pointer to the flux trace operator
[in,out]	fm	pointer to a cs_face_mesh_t structure
[in,out]	cb	pointer to a cs_cell_builder_t structure
[in,out]	csys	structure storing the cell-wise system

cs_cdo_diffusion_vcost_get_dfbyc_flux()

void cs_cdo_diffusion_vcost_get_dfbyc_flux	(	const cs_cell_mesh_t *	cm,
		const double *	pot,
		cs_cell_builder_t *	cb,
		double *	flx
	)

Compute the diffusive flux across dual faces for a given cell Use the COST algo. for computing the discrete Hodge op. This function is dedicated to vertex-based schemes. Flux = -Hdg * GRAD(pot)

Parameters

[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	pot	values of the potential fields at specific locations
[in,out]	cb	auxiliary structure for computing the flux
[in,out]	flx	values of the flux across specific entities

cs_cdo_diffusion_vcost_get_pc_flux()

void cs_cdo_diffusion_vcost_get_pc_flux	(	const cs_cell_mesh_t *	cm,
		const double *	pot,
		cs_cell_builder_t *	cb,
		double *	flx
	)

Compute the diffusive flux inside a (primal) cell Use the COST algo. for computing the discrete Hodge op. This function is dedicated to vertex-based schemes. Flux = -Hdg * GRAD(pot)

Parameters

[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	pot	values of the potential fields at specific locations
[in,out]	cb	auxiliary structure for computing the flux
[in,out]	flx	values of the flux across specific entities

cs_cdo_diffusion_wbs_get_dfbyc_flux()

void cs_cdo_diffusion_wbs_get_dfbyc_flux	(	const cs_cell_mesh_t *	cm,
		const cs_real_t *	pot,
		cs_cell_builder_t *	cb,
		cs_real_t *	flx
	)

Compute the diffusive flux across dual faces for a given cell Use the WBS algo. for approximating the gradient The computation takes into account a subdivision into tetrahedra of the current cell based on p_{ef,c}.

Parameters

[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	pot	values of the potential fields at vertices
[in,out]	cb	auxiliary structure for computing the flux
[in,out]	flx	flux across dual faces inside this cell

cs_cdo_diffusion_wbs_get_pc_flux()

void cs_cdo_diffusion_wbs_get_pc_flux	(	const cs_cell_mesh_t *	cm,
		const cs_real_t *	pot,
		cs_cell_builder_t *	cb,
		cs_real_t *	flx
	)

Compute the diffusive flux inside a given primal cell Use the WBS algo. for approximating the gradient The computation takes into account a subdivision into tetrahedra of the current cell based on p_{ef,c}.

Parameters

[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	pot	values of the potential fields at vertices
[in,out]	cb	auxiliary structure for computing the flux
[in,out]	flx	flux vector inside this cell

cs_cdovb_diffusion_cost_flux_op()

void cs_cdovb_diffusion_cost_flux_op	(	const cs_face_mesh_t *	fm,
		const cs_cell_mesh_t *	cm,
		const cs_real_3_t	mnu,
		double	beta,
		cs_cell_builder_t *	cb,
		cs_sdm_t *	ntrgrd
	)

Compute the normal trace operator for a given border face when a COST algo. is used for reconstructing the degrees of freedom.

Parameters

[in]	fm	pointer to a cs_face_mesh_t structure
[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	mnu	property tensor times the face normal
[in]	beta	value of the stabilizarion coef. related to reco.
[in,out]	cb	pointer to a cell builder structure
[in,out]	ntrgrd	local matrix related to the normal trace op. i.e. the flux operator

cs_cdovb_diffusion_wbs_flux_op()

void cs_cdovb_diffusion_wbs_flux_op	(	const cs_face_mesh_t *	fm,
		const cs_cell_mesh_t *	cm,
		const cs_real_3_t	pty_nuf,
		double	beta,
		cs_cell_builder_t *	cb,
		cs_sdm_t *	ntrgrd
	)

Compute the normal trace operator for a given border face when a WBS algo. is used for reconstructing the degrees of freedom.

Parameters

[in]	fm	pointer to a cs_face_mesh_t structure
[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	pty_nuf	property tensor times the face normal
[in]	beta	not useful here (prototype of function pointer)
[in,out]	cb	pointer to a cell builder structure
[in,out]	ntrgrd	local matrix related to the normal trace op. i.e. the flux operator

cs_cdovb_diffusion_weak_dirichlet()

void cs_cdovb_diffusion_weak_dirichlet	(	const cs_param_hodge_t	h_info,
		const cs_cell_mesh_t *	cm,
		cs_cdo_diffusion_flux_trace_t *	flux_op,
		cs_face_mesh_t *	fm,
		cs_cell_builder_t *	cb,
		cs_cell_sys_t *	csys
	)

Take into account Dirichlet BCs by a weak enforcement using Nitsche technique.

Parameters

[in]	h_info	cs_param_hodge_t structure for diffusion
[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	flux_op	function pointer to the flux trace operator
[in,out]	fm	pointer to a cs_face_mesh_t structure
[in,out]	cb	pointer to a cs_cell_builder_t structure
[in,out]	csys	structure storing the cellwise system

cs_cdovb_diffusion_wsym_dirichlet()

void cs_cdovb_diffusion_wsym_dirichlet	(	const cs_param_hodge_t	h_info,
		const cs_cell_mesh_t *	cm,
		cs_cdo_diffusion_flux_trace_t *	flux_op,
		cs_face_mesh_t *	fm,
		cs_cell_builder_t *	cb,
		cs_cell_sys_t *	csys
	)

Take into account Dirichlet BCs by a weak enforcement using Nitsche technique plus a symmetric treatment.

Parameters

[in]	h_info	cs_param_hodge_t structure for diffusion
[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	flux_op	function pointer to the flux trace operator
[in,out]	fm	pointer to a cs_face_mesh_t structure
[in,out]	cb	pointer to a cs_cell_builder_t structure
[in,out]	csys	structure storing the cell-wise system

cs_cdovcb_diffusion_flux_op()

void cs_cdovcb_diffusion_flux_op	(	const cs_face_mesh_t *	fm,
		const cs_cell_mesh_t *	cm,
		const cs_real_3_t	pty_nuf,
		double	beta,
		cs_cell_builder_t *	cb,
		cs_sdm_t *	ntrgrd
	)

Compute the normal trace operator for a given border face when a WBS algo. is used for reconstructing the degrees of freedom Specific to CDO-V+C schemes.

Parameters

[in]	fm	pointer to a cs_face_mesh_t structure
[in]	cm	pointer to a cs_cell_mesh_t structure
[in]	pty_nuf	property tensor times the face normal
[in]	beta	not useful here (prototype of function pointer)
[in,out]	cb	pointer to a cell builder structure
[in,out]	ntrgrd	local matrix related to the normal trace op. i.e. the flux operator