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/// This file is part of Rheolef.
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/// Copyright (C) 2000-2009 Pierre Saramito <Pierre.Saramito@imag.fr>
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/// Rheolef is free software; you can redistribute it and/or modify
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/// it under the terms of the GNU General Public License as published by
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/// the Free Software Foundation; either version 2 of the License, or
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/// (at your option) any later version.
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/// Rheolef is distributed in the hope that it will be useful,
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/// but WITHOUT ANY WARRANTY; without even the implied warranty of
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/// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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/// GNU General Public License for more details.
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/// You should have received a copy of the GNU General Public License
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/// along with Rheolef; if not, write to the Free Software
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/// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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/// =========================================================================
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//! Helps the management of the finite element method.
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//! Helps the geometry coordinate system.
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//! Helps fields that have tensor value :
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//! doubles indices (i,j) are mapped to single index depending upon
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//! the case : symmetric tensor, axisymmetric problems with extra
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//! theta-theta tensor component or tridimensionnal case.
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//! This class is used internally by field and space classes.
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//! It contains no data, only typedefs and member functions.
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#include "rheolef/compiler.h"
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// -------------------------------------------------------------
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// coordinate system helper
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// -------------------------------------------------------------
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// typedefs and static data:
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typedef size_t size_type;
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static const char* coord_sys_table [max_coord_sys];
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static coordinate_type coordinate_system (std::string sys_coord);
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static std::string coordinate_system_name (coordinate_type);
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static void check_coord_sys_and_dimension (coordinate_type, size_type d);
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// -------------------------------------------------------------
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// valued field helper
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// -------------------------------------------------------------
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// typedefs and static data:
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tensorial = 2, // symmetric, D_ij
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unsymmetric_tensorial = 3,
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tensorial_4 = 4, // symmetric, A_ijkl
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// Note: 3 symmetries for 4-order tensors
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// A_ijkl=A_ijlk, A_ijkl=A_jikl & A_ijkl=Aklij
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// => 6 components in 2d, 21 in 3d and 10 in 2d-axisymmetric(rz)
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struct pair_size_type {
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struct double_pair_size_type {
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pair_size_type second;
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static pair_size_type make_pair_size(size_type a, size_type b);
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static double_pair_size_type make_double_pair_size(
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size_type a, size_type b, size_type c, size_type d);
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static const char* valued_field_table [max_valued_field];
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static size_type unsymmetric_tensor_index [3][3];
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static pair_size_type unsymmetric_tensor_subscript [9];
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static const char* unsymmetric_tensor_subscript_name [9];
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static size_type symmetric_tensor_index [3][3];
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static pair_size_type symmetric_tensor_subscript [6];
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static const char* symmetric_tensor_subscript_name [6];
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static size_type symmetric_tensor4_index [6][6];
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static double_pair_size_type symmetric_tensor4_subscript [21];
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static const char* symmetric_tensor4_subscript_name [21];
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static double_pair_size_type symmetric_tensor4_subscript_rz [10];
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static const char* symmetric_tensor4_subscript_rz_name [10];
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static valued_field_type valued_field (std::string valued);
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static std::string valued_field_name (valued_field_type);
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static size_type tensor_index (std::string valued, std::string sys_coord, size_type i, size_type j);
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static size_type tensor_index (valued_field_type, coordinate_type, size_type i, size_type j);
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static pair_size_type tensor_subscript (valued_field_type, coordinate_type, size_type i_comp);
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static std::string tensor_subscript_name (valued_field_type, coordinate_type, size_type i_comp);
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static pair_size_type tensor_subscript (std::string valued, std::string sys_coord, size_type i_comp);
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static std::string tensor_subscript_name (std::string valued, std::string sys_coord, size_type i_comp);
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static size_type tensor4_index (std::string valued, std::string sys_coord,
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size_type i, size_type j, size_type k, size_type l);
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static size_type tensor4_index (valued_field_type, coordinate_type,
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size_type i, size_type j, size_type k, size_type l);
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static double_pair_size_type tensor4_subscript (valued_field_type, coordinate_type, size_type i_comp);
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static std::string tensor4_subscript_name (valued_field_type, coordinate_type, size_type i_comp);
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static double_pair_size_type tensor4_subscript (std::string valued, std::string sys_coord, size_type i_comp);
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static std::string tensor4_subscript_name (std::string valued, std::string sys_coord, size_type i_comp);
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// -------------------------------------------------------------
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// approximation name -> basis and numbering names
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// -------------------------------------------------------------
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static std::string basis_name (std::string approx_name);
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static std::string numbering_name (std::string approx_name);
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#endif // _RHEO_FEM_H
added
removed
nfem/lib/fem_helper.h
