cforwardeuler.h

00001 /*************************************************************************************
00002  * MechSys - A C++ library to simulate (Continuum) Mechanical Systems                *
00003  * Copyright (C) 2005 Dorival de Moraes Pedroso <dorival.pedroso at gmail.com>       *
00004  * Copyright (C) 2005 Raul Dario Durand Farfan  <raul.durand at gmail.com>           *
00005  *                                                                                   *
00006  * This file is part of MechSys.                                                     *
00007  *                                                                                   *
00008  * MechSys is free software; you can redistribute it and/or modify it under the      *
00009  * terms of the GNU General Public License as published by the Free Software         *
00010  * Foundation; either version 2 of the License, or (at your option) any later        *
00011  * version.                                                                          *
00012  *                                                                                   *
00013  * MechSys is distributed in the hope that it will be useful, but WITHOUT ANY        *
00014  * WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A   *
00015  * PARTICULAR PURPOSE. See the GNU General Public License for more details.          *
00016  *                                                                                   *
00017  * You should have received a copy of the GNU General Public License along with      *
00018  * MechSys; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, *
00019  * Fifth Floor, Boston, MA 02110-1301, USA                                           *
00020  *************************************************************************************/
00021 
00022 #ifndef MECHSYS_FEM_CFORWARDEULER_H
00023 #define MECHSYS_FEM_CFORWARDEULER_H
00024 
00025 #ifdef HAVE_CONFIG_H
00026   #include "config.h"
00027 #else
00028   #ifndef REAL
00029     #define REAL double
00030   #endif
00031 #endif
00032 
00033 // MechSys
00034 #include "fem/solver/csolver.h"
00035 
00036 namespace FEM
00037 {
00038 
00039 class CForwardEuler: public CSolver
00040 {
00041 public:
00042     CForwardEuler(Array<String> const & CSolverCtes, FEM::InputData const & ID, FEM::Data & data, FEM::Output & output)
00043         : CSolver (ID, data, output),
00044           _nSS    (1)
00045     {
00046         for (size_t i=0; i<CSolverCtes.size(); ++i)
00047         {
00048             LineParser LP(CSolverCtes[i]);
00049             LP.ReplaceAllChars('=',' ');
00050             String key;     LP>>key;
00051             if (key=="nSS") LP>>_nSS;
00052             else throw new Fatal(_("CForwardEuler::CForwardEuler: < %s > is invalid "), key.c_str());
00053         }
00054         if (_nSS<1) throw new Fatal(_("CForwardEuler::CForwardEuler: The number of substeps (nSS=%d) must be greater than or equal to 1"), _nSS);
00055     }
00056     void _do_solve_for_an_increment(int                  const   increment,  // In
00057                                     LinAlg::Vector<REAL> const & DF_ext   ,  // In
00058                                     LinAlg::Vector<REAL> const & DU_ext   ,  // In
00059                                     REAL                 const   dTime    ,  // In
00060                                     LinAlg::Matrix<REAL>       & G        ,  // (no needed outside)
00061                                     LinAlg::Vector<REAL>       & hKUn     ,  // (no needed outside)
00062                                     LinAlg::Vector<REAL>       & dF_int   ,  // (no needed outside)
00063                                     LinAlg::Vector<REAL>       & Rinternal,  // (no needed outside)
00064                                     IntSolverData              & ISD      ); // Out
00065 private:
00066     int _nSS;
00067 }; // class CForwardEuler
00068 
00069 
00071 
00072 
00073 inline void CForwardEuler::_do_solve_for_an_increment(int                  const   increment,  // In // {{{
00074                                                       LinAlg::Vector<REAL> const & DF_ext   ,  // In
00075                                                       LinAlg::Vector<REAL> const & DU_ext   ,  // In
00076                                                       REAL                 const   dTime    ,  // In
00077                                                       LinAlg::Matrix<REAL>       & G        ,  // (no needed outside)
00078                                                       LinAlg::Vector<REAL>       & hKUn     ,  // (no needed outside)
00079                                                       LinAlg::Vector<REAL>       & dF_int   ,  // (no needed outside)
00080                                                       LinAlg::Vector<REAL>       & Rinternal,  // (no needed outside)
00081                                                       IntSolverData              & ISD      )  // Out
00082 {
00083     // Allocate and fill dF_ext and dU_ext
00084     int n_tot_dof = DF_ext.Size();
00085     LinAlg::Vector<REAL> dF_ext; dF_ext.Resize(n_tot_dof);
00086     LinAlg::Vector<REAL> dU_ext; dU_ext.Resize(n_tot_dof);
00087     LinAlg::CopyScal(1.0/_nSS,DF_ext, dF_ext); // dF_ext <- DF_ext/_nSS
00088     LinAlg::CopyScal(1.0/_nSS,DU_ext, dU_ext); // dU_ext <- DU_ext/_nSS
00089     REAL h = dTime/_nSS;
00090 
00091     // Start
00092     for (int i=0; i<_nSS; ++i)
00093     {
00094         // Assemble G matrix and calculate dU_ext
00095         _assemb_G      (G, hKUn, h);           // G <- C + h*alpha*K 
00096         LinAlg::Axpy   (-1.0,hKUn, dF_ext);        // dF_ext <- dF_ext - hKUn
00097         _inv_K_times_X (G, false, dF_ext, dU_ext); // dU_ext <- inv(G)*(dF_ext - hKUn)
00098 
00099         // Update nodes and elements state
00100         _update_nodes_and_elements_state(dU_ext, dF_int, h);
00101 
00102         // Calculate residual (internal)
00103         LinAlg::Axpy      (+1.0,hKUn, dF_ext);                  // dF_ext    <- dF_ext + hKUn
00104         LinAlg::AddScaled (1.0,dF_ext, -1.0,dF_int, Rinternal); // Rinternal <- dF_ext - dF_int
00105         REAL denom = 0.0;                                       // Normalizer
00106         for (int i=0; i<Rinternal.Size(); i++) denom += pow((dF_ext(i)+dF_int(i))/2.0, 2.0);
00107         ISD.FE_resid(LinAlg::Norm(Rinternal)/sqrt(denom));
00108     }
00109 
00110 } // }}}
00111 
00112 
00114 
00115 
00116 // Allocate a new CForwardEuler solver
00117 CSolver * CForwardEulerMaker(Array<String> const & CSolverCtes, FEM::InputData const & ID, FEM::Data & data, FEM::Output & output) // {{{
00118 {
00119     return new CForwardEuler(CSolverCtes, ID, data, output);
00120 } // }}}
00121 
00122 // Register an CForwardEuler solver into CSolverFactory array map
00123 int CForwardEulerRegister() // {{{
00124 {
00125     CSolverFactory["CForwardEuler"] = CForwardEulerMaker;
00126     return 0;
00127 } // }}}
00128 
00129 // Execute the autoregistration
00130 int __CForwardEuler_dummy_int = CForwardEulerRegister();
00131 
00132 }; // namespace FEM
00133 
00134 #endif // MECHSYS_FEM_CFORWARDEULER_H
00135 
00136 // vim:fdm=marker

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