cs_cdovb_scaleq.c File Reference

Build an algebraic CDO vertex-based system for unsteady convection-diffusion-reaction of scalar-valued equations with source terms. More...

#include "cs_defs.h"
#include <assert.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <bft_mem.h>
#include "cs_array.h"
#include "cs_boundary_zone.h"
#include "cs_cdo_advection.h"
#include "cs_cdo_bc.h"
#include "cs_cdo_diffusion.h"
#include "cs_cdo_local.h"
#include "cs_cdo_solve.h"
#include "cs_cdo_system.h"
#include "cs_cdo_toolbox.h"
#include "cs_cdovb_priv.h"
#include "cs_equation_bc.h"
#include "cs_evaluate.h"
#include "cs_hodge.h"
#include "cs_log.h"
#include "cs_math.h"
#include "cs_mesh_location.h"
#include "cs_parall.h"
#include "cs_post.h"
#include "cs_quadrature.h"
#include "cs_reco.h"
#include "cs_scheme_geometry.h"
#include "cs_search.h"
#include "cs_sles.h"
#include "cs_source_term.h"
#include "cs_timer.h"
#include "cs_cdovb_scaleq.h"

Include dependency graph for cs_cdovb_scaleq.c:

Macros
#define	CS_CDOVB_SCALEQ_DBG   0
#define	_dp3   cs_math_3_dot_product

Functions
bool	cs_cdovb_scaleq_is_initialized (void)
	Check if the generic structures for building a CDO-Vb scheme are allocated. More...
void	cs_cdovb_scaleq_init_sharing (const cs_cdo_quantities_t *quant, const cs_cdo_connect_t *connect, const cs_time_step_t *time_step)
	Allocate work buffer and general structures related to CDO vertex-based schemes. Set shared pointers. More...
void	cs_cdovb_scaleq_get (cs_cell_sys_t **csys, cs_cell_builder_t **cb)
	Retrieve work buffers used for building a CDO system cellwise. More...
void	cs_cdovb_scaleq_finalize_sharing (void)
	Free work buffer and general structure related to CDO vertex-based schemes. More...
void *	cs_cdovb_scaleq_init_context (const cs_equation_param_t *eqp, int var_id, int bflux_id, cs_equation_builder_t *eqb)
	Initialize a cs_cdovb_scaleq_t structure storing data useful for building and managing such a scheme. More...
void *	cs_cdovb_scaleq_free_context (void *scheme_context)
	Destroy a cs_cdovb_scaleq_t structure. More...
void	cs_cdovb_scaleq_setup (cs_real_t t_eval, const cs_mesh_t *mesh, const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, cs_flag_t vtx_bc_flag[])
	Set the boundary conditions known from the settings Define an indirection array for the enforcement of internal DoFs only if needed. Case of scalar-valued CDO-Vb schemes. More...
void	cs_cdovb_scaleq_init_properties (int t_id, cs_real_t t_eval, const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context)
	Set the main properties before the main loop on cells. Case of scalar-valued CDO-Vb schemes. More...
double	cs_cdovb_scaleq_build_block_implicit (int t_id, cs_lnum_t c_id, const cs_real_t f_val[], int row_id, int col_id, const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context, cs_cell_builder_t *cb, cs_cell_sys_t *csys)
	Build the cell system for the given cell id when the build occurs in a coupled system – block in (row_id, col_id) Case of scalar-valued CDO-Vb schemes. More...
void	cs_cdovb_scaleq_init_values (cs_real_t t_eval, const int field_id, const cs_mesh_t *mesh, const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context)
	Set the initial values of the variable field taking into account the boundary conditions. Case of scalar-valued CDO-Vb schemes. More...
void	cs_cdovb_scaleq_solve_steady_state (bool cur2prev, const cs_mesh_t *mesh, const int field_id, const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context)
	Build and solve the linear system arising from a scalar steady-state convection/diffusion/reaction equation with a CDO-Vb scheme One works cellwise and then process to the assembly. More...
void	cs_cdovb_scaleq_solve_steady_state_incr (bool cur2prev, const cs_mesh_t *mesh, const int field_id, const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context)
	Build and solve the linear system arising from a scalar steady-state convection/diffusion/reaction equation with a CDO-Vb scheme One works cellwise and then process to the assembly. More...
void	cs_cdovb_scaleq_solve_implicit (bool cur2prev, const cs_mesh_t *mesh, const int field_id, const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context)
	Build and solve the linear system arising from a scalar unsteady convection/diffusion/reaction equation with a CDO-Vb scheme Implicit time scheme is used to progress in time. One works cellwise and then process to the assembly. More...
void	cs_cdovb_scaleq_solve_implicit_incr (bool cur2prev, const cs_mesh_t *mesh, const int field_id, const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context)
	Build and solve the linear system arising from a scalar unsteady convection/diffusion/reaction equation with a CDO-Vb scheme Implicit time scheme is used to progress in time. One works cellwise and then process to the assembly. More...
void	cs_cdovb_scaleq_solve_theta (bool cur2prev, const cs_mesh_t *mesh, const int field_id, const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context)
	Build and solve the linear system arising from a scalar unsteady convection/diffusion/reaction equation with a CDO-Vb scheme Theta time scheme is used to progress in time. One works cellwise and then process to the assembly. More...
cs_real_t *	cs_cdovb_scaleq_get_vertex_values (void *context, bool previous)
	Retrieve an array of values at mesh vertices for the variable field associated to the given context The lifecycle of this array is managed by the code. So one does not have to free the return pointer. More...
cs_real_t *	cs_cdovb_scaleq_get_cell_values (void *context, bool previous)
	Compute an array of values at mesh cells by interpolating the variable field associated to the given context located at mesh vertices The lifecycle of this array is managed by the code. So one does not have to free the return pointer. More...
cs_cdo_balance_t *	cs_cdovb_scaleq_balance (const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context)
	Compute the balance for an equation over the full computational domain between time t_cur and t_cur + dt_cur Case of scalar-valued CDO vertex-based scheme. More...
void	cs_cdovb_scaleq_apply_stiffness (const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context, const cs_property_t *property, const cs_real_t *pot, cs_flag_t loc_res, cs_real_t *res)
	Compute the cellwise stiffness matrix associated to the property given as a parameter and apply it to the pot array to define the resulting array associated to entities defined at loc_res Case of scalar-valued CDO vertex-based scheme. More...
void	cs_cdovb_scaleq_boundary_diff_flux (const cs_real_t t_eval, const cs_equation_param_t *eqp, const cs_real_t *pdi, cs_equation_builder_t *eqb, void *context, cs_real_t *vf_flux)
	Compute for each vertex of a boundary face, the portion of diffusive flux across the boundary face. The surface attached to each vertex corresponds to the intersection of its dual cell (associated to a vertex of the face) with the face. Case of scalar-valued CDO-Vb schemes. More...
void	cs_cdovb_scaleq_flux_across_plane (const cs_real_t normal[], const cs_real_t *pdi, const cs_equation_param_t *eqp, int ml_id, cs_equation_builder_t *eqb, void *context, double *d_flux, double *c_flux)
	Compute the diffusive and convective flux across a list of faces Case of scalar-valued CDO-Vb schemes. More...
void	cs_cdovb_scaleq_diff_flux_in_cells (const cs_real_t *values, const cs_equation_param_t *eqp, cs_real_t t_eval, cs_equation_builder_t *eqb, void *context, cs_real_t *diff_flux)
	Cellwise computation of an approximation of a constant diffusive flux (a vector) in each cell. Case of scalar-valued CDO-Vb schemes. More...
void	cs_cdovb_scaleq_diff_flux_dfaces (const cs_real_t *values, const cs_equation_param_t *eqp, cs_real_t t_eval, cs_equation_builder_t *eqb, void *context, cs_real_t *diff_flux)
	Cellwise computation of the diffusive flux accross dual faces (a scalar) in each cell. Case of scalar-valued CDO-Vb schemes. More...
void	cs_cdovb_scaleq_current_to_previous (const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context)
	Operate a current to previous operation for the field associated to this equation and potentially for related fields/arrays. More...
void	cs_cdovb_scaleq_extra_post (const cs_equation_param_t *eqp, cs_equation_builder_t *eqb, void *context)
	Predefined extra-operations related to this equation. More...

Detailed Description

Build an algebraic CDO vertex-based system for unsteady convection-diffusion-reaction of scalar-valued equations with source terms.

Macro Definition Documentation

_dp3

#define _dp3   cs_math_3_dot_product

CS_CDOVB_SCALEQ_DBG

#define CS_CDOVB_SCALEQ_DBG   0

Function Documentation

cs_cdovb_scaleq_apply_stiffness()

void cs_cdovb_scaleq_apply_stiffness	(	const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context,
		const cs_property_t *	property,
		const cs_real_t *	pot,
		cs_flag_t	loc_res,
		cs_real_t *	res
	)

Compute the cellwise stiffness matrix associated to the property given as a parameter and apply it to the pot array to define the resulting array associated to entities defined at loc_res Case of scalar-valued CDO vertex-based scheme.

Parameters

[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to a scheme builder structure
[in]	property	pointer to the property related to the stiffness op.
[in]	pot	array to multiply with the stiffness matrix
[in]	loc_res	location of entities in the resulting array
[in,out]	res	resulting array

cs_cdovb_scaleq_balance()

cs_cdo_balance_t* cs_cdovb_scaleq_balance	(	const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context
	)

Compute the balance for an equation over the full computational domain between time t_cur and t_cur + dt_cur Case of scalar-valued CDO vertex-based scheme.

Parameters

[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to a scheme builder structure

Returns

a pointer to a cs_cdo_balance_t structure

cs_cdovb_scaleq_boundary_diff_flux()

void cs_cdovb_scaleq_boundary_diff_flux	(	const cs_real_t	t_eval,
		const cs_equation_param_t *	eqp,
		const cs_real_t *	pdi,
		cs_equation_builder_t *	eqb,
		void *	context,
		cs_real_t *	vf_flux
	)

Compute for each vertex of a boundary face, the portion of diffusive flux across the boundary face. The surface attached to each vertex corresponds to the intersection of its dual cell (associated to a vertex of the face) with the face. Case of scalar-valued CDO-Vb schemes.

Parameters

[in]	t_eval	time at which one performs the evaluation
[in]	eqp	pointer to a cs_equation_param_t structure
[in]	pdi	pointer to an array of field values
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to a scheme builder structure
[in,out]	vf_flux	pointer to the values of the diffusive flux

cs_cdovb_scaleq_build_block_implicit()

double cs_cdovb_scaleq_build_block_implicit	(	int	t_id,
		cs_lnum_t	c_id,
		const cs_real_t	f_val[],
		int	row_id,
		int	col_id,
		const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context,
		cs_cell_builder_t *	cb,
		cs_cell_sys_t *	csys
	)

Build the cell system for the given cell id when the build occurs in a coupled system – block in (row_id, col_id) Case of scalar-valued CDO-Vb schemes.

Warning: Treatment of BCs differs from the "standard" case. Up to now, one assumes a Dirichlet or a Neumann for all equations (i.e. all blocks) and only an algebraic treatment is performed.

Parameters

[in]	t_id	thread id if openMP is used
[in]	c_id	cell id
[in]	f_val	current field values
[in]	row_id	id related to the row block
[in]	col_id	id related to the col block
[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to a scheme context structure
[in,out]	cb	cell builder structure
[in,out]	csys	cell system structure

Returns

the value of the rhs_norm for the cellwise system

cs_cdovb_scaleq_current_to_previous()

void cs_cdovb_scaleq_current_to_previous	(	const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context
	)

Operate a current to previous operation for the field associated to this equation and potentially for related fields/arrays.

Parameters

[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to cs_cdovb_scaleq_t structure

cs_cdovb_scaleq_diff_flux_dfaces()

void cs_cdovb_scaleq_diff_flux_dfaces	(	const cs_real_t *	values,
		const cs_equation_param_t *	eqp,
		cs_real_t	t_eval,
		cs_equation_builder_t *	eqb,
		void *	context,
		cs_real_t *	diff_flux
	)

Cellwise computation of the diffusive flux accross dual faces (a scalar) in each cell. Case of scalar-valued CDO-Vb schemes.

Parameters

[in]	values	discrete values for the potential
[in]	eqp	pointer to a cs_equation_param_t structure
[in]	t_eval	time at which one performs the evaluation
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to cs_cdovb_scaleq_t structure
[in,out]	diff_flux	values of the diffusive flux

cs_cdovb_scaleq_diff_flux_in_cells()

void cs_cdovb_scaleq_diff_flux_in_cells	(	const cs_real_t *	values,
		const cs_equation_param_t *	eqp,
		cs_real_t	t_eval,
		cs_equation_builder_t *	eqb,
		void *	context,
		cs_real_t *	diff_flux
	)

Cellwise computation of an approximation of a constant diffusive flux (a vector) in each cell. Case of scalar-valued CDO-Vb schemes.

Parameters

[in]	values	discrete values for the potential
[in]	eqp	pointer to a cs_equation_param_t structure
[in]	t_eval	time at which one performs the evaluation
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to cs_cdovb_scaleq_t structure
[in,out]	diff_flux	value of the diffusive flux

cs_cdovb_scaleq_extra_post()

void cs_cdovb_scaleq_extra_post	(	const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context
	)

Predefined extra-operations related to this equation.

Parameters

[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to cs_cdovb_scaleq_t structure

cs_cdovb_scaleq_finalize_sharing()

void cs_cdovb_scaleq_finalize_sharing

(

void

)

Free work buffer and general structure related to CDO vertex-based schemes.

cs_cdovb_scaleq_flux_across_plane()

void cs_cdovb_scaleq_flux_across_plane	(	const cs_real_t	normal[],
		const cs_real_t *	pdi,
		const cs_equation_param_t *	eqp,
		int	ml_id,
		cs_equation_builder_t *	eqb,
		void *	context,
		double *	d_flux,
		double *	c_flux
	)

Compute the diffusive and convective flux across a list of faces Case of scalar-valued CDO-Vb schemes.

Parameters

[in]	normal	indicate in which direction flux is > 0
[in]	pdi	pointer to an array of field values
[in]	eqp	pointer to a cs_equation_param_t structure
[in]	ml_id	id related to a cs_mesh_location_t struct.
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to data specific for this scheme
[in,out]	d_flux	pointer to the value of the diffusive flux
[in,out]	c_flux	pointer to the value of the convective flux

cs_cdovb_scaleq_free_context()

void* cs_cdovb_scaleq_free_context

(

void *

scheme_context

)

Destroy a cs_cdovb_scaleq_t structure.

Parameters

[in,out]

scheme_context

pointer to a cs_cdovb_scaleq_t structure

Returns

a NULL pointer

cs_cdovb_scaleq_get()

void cs_cdovb_scaleq_get	(	cs_cell_sys_t **	csys,
		cs_cell_builder_t **	cb
	)

Retrieve work buffers used for building a CDO system cellwise.

Parameters

[out]	csys	pointer to a pointer on a cs_cell_sys_t structure
[out]	cb	pointer to a pointer on a cs_cell_builder_t structure

cs_cdovb_scaleq_get_cell_values()

cs_real_t* cs_cdovb_scaleq_get_cell_values	(	void *	context,
		bool	previous
	)

Compute an array of values at mesh cells by interpolating the variable field associated to the given context located at mesh vertices The lifecycle of this array is managed by the code. So one does not have to free the return pointer.

Parameters

[in,out]	context	pointer to a data structure cast on-the-fly
[in]	previous	retrieve the previous state (true/false)

Returns

a pointer to an array of cs_real_t (size: n_cells)

cs_cdovb_scaleq_get_vertex_values()

cs_real_t* cs_cdovb_scaleq_get_vertex_values	(	void *	context,
		bool	previous
	)

Retrieve an array of values at mesh vertices for the variable field associated to the given context The lifecycle of this array is managed by the code. So one does not have to free the return pointer.

Parameters

[in,out]	context	pointer to a data structure cast on-the-fly
[in]	previous	retrieve the previous state (true/false)

Returns

a pointer to an array of cs_real_t (size: n_vertices)

cs_cdovb_scaleq_init_context()

void* cs_cdovb_scaleq_init_context	(	const cs_equation_param_t *	eqp,
		int	var_id,
		int	bflux_id,
		cs_equation_builder_t *	eqb
	)

Initialize a cs_cdovb_scaleq_t structure storing data useful for building and managing such a scheme.

Parameters

[in]	eqp	pointer to a cs_equation_param_t structure
[in]	var_id	id of the variable field
[in]	bflux_id	id of the boundary flux field
[in,out]	eqb	pointer to a cs_equation_builder_t struct.

Returns

a pointer to a new allocated cs_cdovb_scaleq_t structure

cs_cdovb_scaleq_init_properties()

void cs_cdovb_scaleq_init_properties	(	int	t_id,
		cs_real_t	t_eval,
		const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context
	)

Set the main properties before the main loop on cells. Case of scalar-valued CDO-Vb schemes.

Parameters

[in]	t_id	thread id if > 0
[in]	t_eval	time at which one evaluates BCs
[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to a scheme context structure

cs_cdovb_scaleq_init_sharing()

void cs_cdovb_scaleq_init_sharing	(	const cs_cdo_quantities_t *	quant,
		const cs_cdo_connect_t *	connect,
		const cs_time_step_t *	time_step
	)

Allocate work buffer and general structures related to CDO vertex-based schemes. Set shared pointers.

Parameters

[in]	quant	additional mesh quantities struct.
[in]	connect	pointer to a cs_cdo_connect_t struct.
[in]	time_step	pointer to a time step structure

cs_cdovb_scaleq_init_values()

void cs_cdovb_scaleq_init_values	(	cs_real_t	t_eval,
		const int	field_id,
		const cs_mesh_t *	mesh,
		const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context
	)

Set the initial values of the variable field taking into account the boundary conditions. Case of scalar-valued CDO-Vb schemes.

Parameters

[in]	t_eval	time at which one evaluates BCs
[in]	field_id	id related to the variable field of this equation
[in]	mesh	pointer to a cs_mesh_t structure
[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to the scheme context (cast on-the-fly)

cs_cdovb_scaleq_is_initialized()

bool cs_cdovb_scaleq_is_initialized

(

void

)

Check if the generic structures for building a CDO-Vb scheme are allocated.

Returns

true or false

cs_cdovb_scaleq_setup()

void cs_cdovb_scaleq_setup	(	cs_real_t	t_eval,
		const cs_mesh_t *	mesh,
		const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		cs_flag_t	vtx_bc_flag[]
	)

Set the boundary conditions known from the settings Define an indirection array for the enforcement of internal DoFs only if needed. Case of scalar-valued CDO-Vb schemes.

Parameters

[in]	t_eval	time at which one evaluates BCs
[in]	mesh	pointer to a cs_mesh_t structure
[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	vtx_bc_flag	pointer to an array of BC flag for each vtx

cs_cdovb_scaleq_solve_implicit()

void cs_cdovb_scaleq_solve_implicit	(	bool	cur2prev,
		const cs_mesh_t *	mesh,
		const int	field_id,
		const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context
	)

Build and solve the linear system arising from a scalar unsteady convection/diffusion/reaction equation with a CDO-Vb scheme Implicit time scheme is used to progress in time. One works cellwise and then process to the assembly.

Parameters

[in]	cur2prev	true="current to previous" operation is performed
[in]	mesh	pointer to a cs_mesh_t structure
[in]	field_id	id of the variable field related to this equation
[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to cs_cdovb_scaleq_t structure

cs_cdovb_scaleq_solve_implicit_incr()

void cs_cdovb_scaleq_solve_implicit_incr	(	bool	cur2prev,
		const cs_mesh_t *	mesh,
		const int	field_id,
		const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context
	)

Build and solve the linear system arising from a scalar unsteady convection/diffusion/reaction equation with a CDO-Vb scheme Implicit time scheme is used to progress in time. One works cellwise and then process to the assembly.

Variant with an incremental approach. The system is modified to fit the incremental form (unknows are the increments and rhs corresponds to a residual). This is useful when the resolution is embedded into a non-linear process.

Parameters

[in]	cur2prev	Not used. Should be done before if needed.
[in]	mesh	pointer to a cs_mesh_t structure
[in]	field_id	id of the variable field related to this equation
[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to cs_cdovb_scaleq_t structure

cs_cdovb_scaleq_solve_steady_state()

void cs_cdovb_scaleq_solve_steady_state	(	bool	cur2prev,
		const cs_mesh_t *	mesh,
		const int	field_id,
		const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context
	)

Build and solve the linear system arising from a scalar steady-state convection/diffusion/reaction equation with a CDO-Vb scheme One works cellwise and then process to the assembly.

Parameters

[in]	cur2prev	true="current to previous" operation is performed
[in]	mesh	pointer to a cs_mesh_t structure
[in]	field_id	id of the variable field related to this equation
[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to cs_cdovb_scaleq_t structure

cs_cdovb_scaleq_solve_steady_state_incr()

void cs_cdovb_scaleq_solve_steady_state_incr	(	bool	cur2prev,
		const cs_mesh_t *	mesh,
		const int	field_id,
		const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context
	)

Build and solve the linear system arising from a scalar steady-state convection/diffusion/reaction equation with a CDO-Vb scheme One works cellwise and then process to the assembly.

Variant with an incremental approach. The system is modified to fit the incremental form (unknows are the increments and rhs corresponds to a residual). This is useful when the resolution is embedded into a non-linear process.

Parameters

[in]	cur2prev	Not used. Should be done before if needed.
[in]	mesh	pointer to a cs_mesh_t structure
[in]	field_id	id of the variable field related to this equation
[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to cs_cdovb_scaleq_t structure

cs_cdovb_scaleq_solve_theta()

void cs_cdovb_scaleq_solve_theta	(	bool	cur2prev,
		const cs_mesh_t *	mesh,
		const int	field_id,
		const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context
	)

Build and solve the linear system arising from a scalar unsteady convection/diffusion/reaction equation with a CDO-Vb scheme Theta time scheme is used to progress in time. One works cellwise and then process to the assembly.

Parameters

[in]	cur2prev	true="current to previous" operation is performed
[in]	mesh	pointer to a cs_mesh_t structure
[in]	field_id	id of the variable field related to this equation
[in]	eqp	pointer to a cs_equation_param_t structure
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to cs_cdovb_scaleq_t structure