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

#include "cs_defs.h"
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <assert.h>
#include <string.h>
#include <float.h>
#include <bft_mem.h>
#include "cs_cdo_advection.h"
#include "cs_cdo_bc.h"
#include "cs_cdo_diffusion.h"
#include "cs_cdo_local.h"
#include "cs_equation_assemble.h"
#include "cs_equation_bc.h"
#include "cs_equation_common.h"
#include "cs_evaluate.h"
#include "cs_hodge.h"
#include "cs_log.h"
#include "cs_math.h"
#include "cs_mesh_location.h"
#include "cs_param.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_static_condensation.h"
#include "cs_timer.h"
#include "cs_cdovcb_scaleq.h"

Include dependency graph for cs_cdovcb_scaleq.c:

Functions
bool	cs_cdovcb_scaleq_is_initialized (void)
	Check if the generic structures for building a CDO-vertex+cell based scheme are allocated. More...

void	cs_cdovcb_scaleq_init_common (const cs_cdo_quantities_t quant, const cs_cdo_connect_t connect, const cs_time_step_t time_step, const cs_matrix_structure_t ms)
	Allocate work buffer and general structures related to CDO vertex+cell-based schemes Set shared pointers. More...

void	cs_cdovcb_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_cdovcb_scaleq_finalize_common (void)
	Free work buffer and general structure related to CDO vertex-based schemes. More...

void *	cs_cdovcb_scaleq_init_context (const cs_equation_param_t eqp, int var_id, int bflux_id, cs_equation_builder_t eqb)
	Initialize a cs_cdovcb_scaleq_t structure storing data useful for building and managing such a scheme. More...

void *	cs_cdovcb_scaleq_free_context (void *data)
	Destroy a cs_cdovcb_scaleq_t structure. More...

void	cs_cdovcb_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-VCb schemes. More...

void	cs_cdovcb_scaleq_solve_steady_state (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-VCb scheme One works cellwise and then process to the assembly. More...

void	cs_cdovcb_scaleq_solve_implicit (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-VCb scheme Time scheme is an implicit Euler One works cellwise and then process to the assembly. More...

void	cs_cdovcb_scaleq_solve_theta (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-VCb scheme Time scheme is a theta scheme. One works cellwise and then process to the assembly. More...

cs_real_t *	cs_cdovcb_scaleq_get_vertex_values (void *context)
	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_cdovcb_scaleq_get_cell_values (void *context)
	Get the computed values at mesh cells from the inverse operation w.r.t. the static condensation (DoF used in the linear system are located at primal vertices and field related to the structure equation is also attached to primal vertices) The lifecycle of this array is managed by the code. So one does not have to free the return pointer. More...

void	cs_cdovcb_scaleq_boundary_diff_flux (const cs_real_t t_eval, const cs_equation_param_t eqp, const cs_real_t pot_v, const cs_real_t pot_c, cs_equation_builder_t eqb, 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-VCb schemes. More...

void	cs_cdovcb_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-VCb schemes. More...

void	cs_cdovcb_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 the diffusive flux in each cells. Case of scalar-valued CDO-VCb schemes. More...

void	cs_cdovcb_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 across dual faces Case of scalar-valued CDO-VCb schemes. More...

void	cs_cdovcb_scaleq_vtx_gradient (const cs_real_t v_values, cs_equation_builder_t eqb, void context, cs_real_t v_gradient)
	Cellwise computation of the discrete gradient at vertices. More...

void	cs_cdovcb_scaleq_read_restart (cs_restart_t restart, const char eqname, void *scheme_context)
	Read additional arrays (not defined as fields) but useful for the checkpoint/restart process. More...

void	cs_cdovcb_scaleq_write_restart (cs_restart_t restart, const char eqname, void *scheme_context)
	Write additional arrays (not defined as fields) but useful for the checkpoint/restart process. More...

void	cs_cdovcb_scaleq_extra_op (const char eqname, const cs_field_t field, const cs_equation_param_t eqp, cs_equation_builder_t eqb, void *context)
	Predefined extra-operations related to this equation. More...

Variables
static cs_cell_sys_t **	_vcbs_cell_system = NULL

static cs_cell_builder_t **	_vcbs_cell_builder = NULL

static const cs_cdo_quantities_t *	cs_shared_quant

static const cs_cdo_connect_t *	cs_shared_connect

static const cs_time_step_t *	cs_shared_time_step

static const cs_matrix_structure_t *	cs_shared_ms

Detailed Description

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

Function Documentation

◆ cs_cdovcb_scaleq_boundary_diff_flux()

void cs_cdovcb_scaleq_boundary_diff_flux	(	const cs_real_t	t_eval,
		const cs_equation_param_t *	eqp,
		const cs_real_t *	pot_v,
		const cs_real_t *	pot_c,
		cs_equation_builder_t *	eqb,
		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-VCb schemes.

Parameters

[in]	t_eval	time at which one performs the evaluation
[in]	eqp	pointer to a cs_equation_param_t structure
[in]	pot_v	pointer to an array of field values at vertices
[in]	pot_c	pointer to an array of field values at cells
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	vf_flux	pointer to the values of the diffusive flux

◆ cs_cdovcb_scaleq_diff_flux_dfaces()

void cs_cdovcb_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 across dual faces Case of scalar-valued CDO-VCb 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 data structure cast on-the-fly
[in,out]	diff_flux	value of the diffusive flux

◆ cs_cdovcb_scaleq_diff_flux_in_cells()

void cs_cdovcb_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 the diffusive flux in each cells. Case of scalar-valued CDO-VCb 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 data structure cast on-the-fly
[in,out]	diff_flux	value of the diffusive flux

◆ cs_cdovcb_scaleq_extra_op()

void cs_cdovcb_scaleq_extra_op	(	const char *	eqname,
		const cs_field_t *	field,
		const cs_equation_param_t *	eqp,
		cs_equation_builder_t *	eqb,
		void *	context
	)

Predefined extra-operations related to this equation.

Parameters

[in]	eqname	name of the equation
[in]	field	pointer to a field 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 cs_cdovcb_scaleq_t structure

◆ cs_cdovcb_scaleq_finalize_common()

void cs_cdovcb_scaleq_finalize_common ( void )

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

Free buffers and generic structures related to CDO vertex+cell-based schemes.

◆ cs_cdovcb_scaleq_flux_across_plane()

void cs_cdovcb_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-VCb schemes.

Compute the diffusive and convective flux across a list of faces Case of scalar-valued CDO-Vcb 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_cdovcb_scaleq_free_context()

void* cs_cdovcb_scaleq_free_context ( void * data )

Destroy a cs_cdovcb_scaleq_t structure.

Parameters

[in,out] data pointer to a cs_cdovcb_scaleq_t structure

Returns: a NULL pointer

◆ cs_cdovcb_scaleq_get()

void cs_cdovcb_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_cdovcb_scaleq_get_cell_values()

cs_real_t* cs_cdovcb_scaleq_get_cell_values ( void * context )

Get the computed values at mesh cells from the inverse operation w.r.t. the static condensation (DoF used in the linear system are located at primal vertices and field related to the structure equation is also attached to primal 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

Returns: a pointer to an array of cs_real_t

◆ cs_cdovcb_scaleq_get_vertex_values()

cs_real_t* cs_cdovcb_scaleq_get_vertex_values ( void * context )

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

Returns: a pointer to an array of cs_real_t

◆ cs_cdovcb_scaleq_init_common()

void cs_cdovcb_scaleq_init_common	(	const cs_cdo_quantities_t *	quant,
		const cs_cdo_connect_t *	connect,
		const cs_time_step_t *	time_step,
		const cs_matrix_structure_t *	ms
	)

Allocate work buffer and general structures related to CDO vertex+cell-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
[in]	ms	pointer to a cs_matrix_structure_t structure

◆ cs_cdovcb_scaleq_init_context()

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

Initialize a cs_cdovcb_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 structure

Returns: a pointer to a new allocated cs_cdovcb_scaleq_t structure

◆ cs_cdovcb_scaleq_init_values()

void cs_cdovcb_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-VCb 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_cdovcb_scaleq_is_initialized()

bool cs_cdovcb_scaleq_is_initialized ( void )

Check if the generic structures for building a CDO-vertex+cell based scheme are allocated.

Returns: true or false

◆ cs_cdovcb_scaleq_read_restart()

void cs_cdovcb_scaleq_read_restart	(	cs_restart_t *	restart,
		const char *	eqname,
		void *	scheme_context
	)

Read additional arrays (not defined as fields) but useful for the checkpoint/restart process.

Parameters

[in,out]	restart	pointer to cs_restart_t structure
[in]	eqname	name of the related equation
[in]	scheme_context	pointer to a data structure cast on-the-fly

◆ cs_cdovcb_scaleq_solve_implicit()

void cs_cdovcb_scaleq_solve_implicit	(	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-VCb scheme Time scheme is an implicit Euler One works cellwise and then process to the assembly.

Parameters

[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_cdovcb_scaleq_t structure

◆ cs_cdovcb_scaleq_solve_steady_state()

void cs_cdovcb_scaleq_solve_steady_state	(	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-VCb scheme One works cellwise and then process to the assembly.

Parameters

[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_cdovcb_scaleq_t structure

◆ cs_cdovcb_scaleq_solve_theta()

void cs_cdovcb_scaleq_solve_theta	(	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-VCb scheme Time scheme is a theta scheme. One works cellwise and then process to the assembly.

Parameters

[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_cdovcb_scaleq_t structure

◆ cs_cdovcb_scaleq_vtx_gradient()

void cs_cdovcb_scaleq_vtx_gradient	(	const cs_real_t *	v_values,
		cs_equation_builder_t *	eqb,
		void *	context,
		cs_real_t *	v_gradient
	)

Cellwise computation of the discrete gradient at vertices.

Parameters

[in]	v_values	discrete values for the potential at vertices
[in,out]	eqb	pointer to a cs_equation_builder_t structure
[in,out]	context	pointer to data structure cast on-the-fly
[in,out]	v_gradient	gradient at vertices

◆ cs_cdovcb_scaleq_write_restart()

void cs_cdovcb_scaleq_write_restart	(	cs_restart_t *	restart,
		const char *	eqname,
		void *	scheme_context
	)

Write additional arrays (not defined as fields) but useful for the checkpoint/restart process.

Parameters

[in,out]	restart	pointer to cs_restart_t structure
[in]	eqname	name of the related equation
[in]	scheme_context	pointer to a data structure cast on-the-fly

Variable Documentation

◆ _vcbs_cell_builder

cs_cell_builder_t** _vcbs_cell_builder = NULL

static

◆ _vcbs_cell_system

cs_cell_sys_t** _vcbs_cell_system = NULL

static

◆ cs_shared_connect

const cs_cdo_connect_t* cs_shared_connect

static

◆ cs_shared_ms

const cs_matrix_structure_t* cs_shared_ms

static

◆ cs_shared_quant

const cs_cdo_quantities_t* cs_shared_quant

static

◆ cs_shared_time_step

const cs_time_step_t* cs_shared_time_step

static

Functions

Variables

Detailed Description

Function Documentation

◆ cs_cdovcb_scaleq_boundary_diff_flux()

◆ cs_cdovcb_scaleq_diff_flux_dfaces()

◆ cs_cdovcb_scaleq_diff_flux_in_cells()

◆ cs_cdovcb_scaleq_extra_op()

◆ cs_cdovcb_scaleq_finalize_common()

◆ cs_cdovcb_scaleq_flux_across_plane()

◆ cs_cdovcb_scaleq_free_context()

◆ cs_cdovcb_scaleq_get()

◆ cs_cdovcb_scaleq_get_cell_values()

◆ cs_cdovcb_scaleq_get_vertex_values()

◆ cs_cdovcb_scaleq_init_common()

◆ cs_cdovcb_scaleq_init_context()

◆ cs_cdovcb_scaleq_init_values()

◆ cs_cdovcb_scaleq_is_initialized()

◆ cs_cdovcb_scaleq_read_restart()

◆ cs_cdovcb_scaleq_solve_implicit()

◆ cs_cdovcb_scaleq_solve_steady_state()

◆ cs_cdovcb_scaleq_solve_theta()

◆ cs_cdovcb_scaleq_vtx_gradient()

◆ cs_cdovcb_scaleq_write_restart()

Variable Documentation

◆ _vcbs_cell_builder

◆ _vcbs_cell_system

◆ cs_shared_connect

◆ cs_shared_ms

◆ cs_shared_quant

◆ cs_shared_time_step