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       tBedrockColumn.hh - pism - [fork] customized build of PISM, the parallel ice sheet model (tillflux branch)
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       tBedrockColumn.hh (1997B)
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            1 // Copyright (C) 2019 PISM Authors
            2 //
            3 // This file is part of PISM.
            4 //
            5 // PISM is free software; you can redistribute it and/or modify it under the
            6 // terms of the GNU General Public License as published by the Free Software
            7 // Foundation; either version 3 of the License, or (at your option) any later
            8 // version.
            9 //
           10 // PISM is distributed in the hope that it will be useful, but WITHOUT ANY
           11 // WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
           12 // FOR A PARTICULAR PURPOSE.  See the GNU General Public License for more
           13 // details.
           14 //
           15 // You should have received a copy of the GNU General Public License
           16 // along with PISM; if not, write to the Free Software
           17 // Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA
           18 
           19 #ifndef BEDROCK_COLUMN_HH
           20 #define BEDROCK_COLUMN_HH
           21 
           22 #include "pism/util/ColumnSystem.hh"
           23 
           24 namespace pism {
           25 
           26 class Config;
           27 
           28 namespace energy {
           29 
           30 /*! Tridiagonal linear system for conservation of energy in vertical columns of the
           31  *  bedrock thermal layer.
           32  *
           33  * The top surface uses the Dirichlet boundary condition, the bottom surface a heat flux
           34  * (Neumann) BC.
           35  *
           36  * The implementation uses a second-order discretization in space and the backward-Euler
           37  * (first-order, fully implicit) time-discretization.
           38  */
           39 class BedrockColumn {
           40 public:
           41   BedrockColumn(const std::string &prefix, const Config &config,
           42                 double dz, unsigned int M);
           43   ~BedrockColumn();
           44 
           45   void solve(double dt, double Q_bottom, double T_top,
           46              const double *T_old, double *result);
           47 
           48   void solve(double dt, double Q_bottom, double T_top,
           49              const std::vector<double> &T_old,
           50              std::vector<double> &result);
           51 
           52 private:
           53   // temperature diffusivity coefficient
           54   double m_D;
           55   // thermal conductivity
           56   double m_k;
           57   // vertical spacing
           58   double m_dz;
           59   // system size
           60   unsigned int m_M;
           61 
           62   TridiagonalSystem m_system;
           63 };
           64 
           65 } // end of namespace energy
           66 } // end of namespace pism
           67 
           68 #endif   //  ifndef BEDROCK_COLUMN_HH