cs_hho_builder.h

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#ifndef __CS_HHO_BUILDER_H__
#define __CS_HHO_BUILDER_H__

/*============================================================================
 * Low-level functions and structures used to build the algebraic system with
 * a cellwise process when Hybrid High Order schemes are set for the space
 * discretization
 *============================================================================*/

/*
  This file is part of Code_Saturne, a general-purpose CFD tool.

  Copyright (C) 1998-2021 EDF S.A.

  This program is free software; you can redistribute it and/or modify it under
  the terms of the GNU General Public License as published by the Free Software
  Foundation; either version 2 of the License, or (at your option) any later
  version.

  This program is distributed in the hope that it will be useful, but WITHOUT
  ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
  FOR A PARTICULAR PURPOSE.  See the GNU General Public License for more
  details.

  You should have received a copy of the GNU General Public License along with
  this program; if not, write to the Free Software Foundation, Inc., 51 Franklin
  Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/

/*----------------------------------------------------------------------------
 *  Local headers
 *----------------------------------------------------------------------------*/

#include "cs_base.h"
#include "cs_basis_func.h"
#include "cs_cdo_connect.h"
#include "cs_property.h"
#include "cs_sdm.h"
#include "cs_xdef.h"

/*----------------------------------------------------------------------------*/

BEGIN_C_DECLS

/*============================================================================
 * Macro definitions
 *============================================================================*/

/*============================================================================
 * Type definitions
 *============================================================================*/

/* Cellwise builder for HHO discretization */
typedef struct {

  /* Current and maximal number of face basis allocated. This number is equal
     to the max. number of faces for a cell */
  short int          n_face_basis;
  short int          n_max_face_basis;

  cs_basis_func_t  **face_basis;   /* P_(d-1)^k          polynomial basis */
  cs_basis_func_t   *cell_basis;   /* P_d^k              polynomial basis */
  cs_basis_func_t   *grad_basis;   /* P_d^(k+1) \ P_d^0  polynomial basis */

  cs_sdm_t   *grad_reco_op;  /* Gradient operator; Rectangular matrix */

  /* Temporary matrices defined by blocks */
  cs_sdm_t   *tmp;           /* Temporary block matrix (fs x ts) */
  cs_sdm_t   *bf_t;          /* Transposed  of Bf (used in stabilization) */
  cs_sdm_t   *jstab;         /* Stabilization part related to a face */
  cs_sdm_t   *hdg;           /* Another temporary matrix */

} cs_hho_builder_t;

/*============================================================================
 * Public function prototypes
 *============================================================================*/

/*----------------------------------------------------------------------------*/
/*----------------------------------------------------------------------------*/

cs_hho_builder_t *
cs_hho_builder_create(int     order,
                      int     n_fc);

/*----------------------------------------------------------------------------*/
/*----------------------------------------------------------------------------*/

void
cs_hho_builder_free(cs_hho_builder_t  **p_builder);

/*----------------------------------------------------------------------------*/
/*----------------------------------------------------------------------------*/

void
cs_hho_builder_cellwise_setup(const cs_cell_mesh_t    *cm,
                              cs_cell_builder_t       *cb,
                              cs_hho_builder_t        *hhob);

/*----------------------------------------------------------------------------*/
/*----------------------------------------------------------------------------*/

static inline void
cs_hho_builder_cellbasis_setup(const cs_cell_mesh_t    *cm,
                               cs_cell_builder_t       *cb,
                               cs_hho_builder_t        *hhob)
{
  if (hhob == NULL)
    return;

  /* Sanity checks */
  assert(cm != NULL);

  /* Setup cell basis functions */
  hhob->cell_basis->setup(hhob->cell_basis, cm, 0, cm->xc, cb);
  hhob->n_face_basis = 0;
}

/*----------------------------------------------------------------------------*/
/*----------------------------------------------------------------------------*/

void
cs_hho_builder_compute_grad_reco(const cs_cell_mesh_t      *cm,
                                 const cs_property_data_t  *diff_pty,
                                 cs_cell_builder_t         *cb,
                                 cs_hho_builder_t          *hhob);

/*----------------------------------------------------------------------------*/
/*----------------------------------------------------------------------------*/

void
cs_hho_builder_diffusion(const cs_cell_mesh_t      *cm,
                         const cs_property_data_t  *diff_pty,
                         cs_cell_builder_t         *cb,
                         cs_hho_builder_t          *hhob);

/*----------------------------------------------------------------------------*/
/*----------------------------------------------------------------------------*/

void
cs_hho_builder_reduction_from_analytic(const cs_xdef_t         *def,
                                       const cs_cell_mesh_t    *cm,
                                       cs_real_t                t_eval,
                                       cs_cell_builder_t       *cb,
                                       cs_hho_builder_t        *hhob,
                                       cs_real_t                red[]);

/*----------------------------------------------------------------------------*/
/*----------------------------------------------------------------------------*/

void
cs_hho_builder_reduction_from_analytic_v(const cs_xdef_t         *def,
                                         const cs_cell_mesh_t    *cm,
                                         cs_real_t                t_eval,
                                         cs_cell_builder_t       *cb,
                                         cs_hho_builder_t        *hhob,
                                         cs_real_t                red[]);

/*----------------------------------------------------------------------------*/
/*----------------------------------------------------------------------------*/

void
cs_hho_builder_compute_dirichlet(const cs_xdef_t         *def,
                                 short int                f,
                                 const cs_cell_mesh_t    *cm,
                                 cs_real_t                t_eval,
                                 cs_cell_builder_t       *cb,
                                 cs_hho_builder_t        *hhob,
                                 cs_real_t                res[]);

/*----------------------------------------------------------------------------*/
/*----------------------------------------------------------------------------*/

void
cs_hho_builder_compute_dirichlet_v(const cs_xdef_t         *def,
                                   short int                f,
                                   const cs_cell_mesh_t    *cm,
                                   cs_real_t                t_eval,
                                   cs_cell_builder_t       *cb,
                                   cs_hho_builder_t        *hhob,
                                   cs_real_t                res[]);

/*----------------------------------------------------------------------------*/

END_C_DECLS

#endif /* __CS_HHO_BUILDER_H__ */