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<div id="projectname">PISM, A Parallel Ice Sheet Model
 <span id="projectnumber">stable v2.1-1-g6902d5502 committed by Ed Bueler on 2023-12-20 08:38:27 -0800</span>
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<a href="BedrockColumn_8hh.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright (C) 2019, 2021 PISM Authors</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">//</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// This file is part of PISM.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">//</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// PISM is free software; you can redistribute it and/or modify it under the</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// terms of the GNU General Public License as published by the Free Software</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Foundation; either version 3 of the License, or (at your option) any later</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// version.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">//</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// PISM is distributed in the hope that it will be useful, but WITHOUT ANY</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// FOR A PARTICULAR PURPOSE. See the GNU General Public License for more</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment">// details.</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">//</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">// You should have received a copy of the GNU General Public License</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">// along with PISM; if not, write to the Free Software</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">// Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  </div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#ifndef BEDROCK_COLUMN_HH</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#define BEDROCK_COLUMN_HH</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include "pism/util/ColumnSystem.hh"</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">namespace </span><a class="code" href="namespacepism.html">pism</a> {</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">class </span>Config;</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="keyword">namespace </span>energy {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"></span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">/*! Tridiagonal linear system for conservation of energy in vertical columns of the</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment"> * bedrock thermal layer.</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment"> * The top surface uses the Dirichlet boundary condition, the bottom surface a heat flux</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"> * (Neumann) BC.</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"> * The implementation uses a second-order discretization in space and the backward-Euler</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"> * (first-order, fully implicit) time-discretization.</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedrockColumn.html"> 39</a></span> <span class="keyword">class </span><a class="code" href="classpism_1_1energy_1_1BedrockColumn.html">BedrockColumn</a> {</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="classpism_1_1energy_1_1BedrockColumn_a5dc36ed56e810ebb890baf764ac8bac7.html#a5dc36ed56e810ebb890baf764ac8bac7">BedrockColumn</a>(<span class="keyword">const</span> std::string &prefix, <span class="keyword">const</span> <a class="code" href="classpism_1_1Config.html">Config</a> &config,</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordtype">double</span> dz, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> M);</div>
<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedrockColumn_a5a795780d4268b267aff66e7bd5e9650.html#a5a795780d4268b267aff66e7bd5e9650"> 43</a></span>  <a class="code" href="classpism_1_1energy_1_1BedrockColumn_a5a795780d4268b267aff66e7bd5e9650.html#a5a795780d4268b267aff66e7bd5e9650">~BedrockColumn</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordtype">void</span> <a class="code" href="classpism_1_1energy_1_1BedrockColumn_aa09746e521a4bd739c68bb0c99014b9a.html#aa09746e521a4bd739c68bb0c99014b9a">solve</a>(<span class="keywordtype">double</span> dt, <span class="keywordtype">double</span> Q_bottom, <span class="keywordtype">double</span> T_top,</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> *T_old, <span class="keywordtype">double</span> *result);</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keywordtype">void</span> <a class="code" href="classpism_1_1energy_1_1BedrockColumn_aa09746e521a4bd739c68bb0c99014b9a.html#aa09746e521a4bd739c68bb0c99014b9a">solve</a>(<span class="keywordtype">double</span> dt, <span class="keywordtype">double</span> Q_bottom, <span class="keywordtype">double</span> T_top,</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">const</span> std::vector<double> &T_old,</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  std::vector<double> &result);</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="comment">// temperature diffusivity coefficient</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedrockColumn_a149204f6edb3c47e3be8382b0726347a.html#a149204f6edb3c47e3be8382b0726347a"> 54</a></span>  <span class="keywordtype">double</span> <a class="code" href="classpism_1_1energy_1_1BedrockColumn_a149204f6edb3c47e3be8382b0726347a.html#a149204f6edb3c47e3be8382b0726347a">m_D</a>;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="comment">// thermal conductivity</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedrockColumn_a313187e5121e1a4e0bd52694b6e4614b.html#a313187e5121e1a4e0bd52694b6e4614b"> 56</a></span>  <span class="keywordtype">double</span> <a class="code" href="classpism_1_1energy_1_1BedrockColumn_a313187e5121e1a4e0bd52694b6e4614b.html#a313187e5121e1a4e0bd52694b6e4614b">m_k</a>;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// vertical spacing</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedrockColumn_af17dc94afc90d8ad81d8336411943fc3.html#af17dc94afc90d8ad81d8336411943fc3"> 58</a></span>  <span class="keywordtype">double</span> <a class="code" href="classpism_1_1energy_1_1BedrockColumn_af17dc94afc90d8ad81d8336411943fc3.html#af17dc94afc90d8ad81d8336411943fc3">m_dz</a>;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">// system size</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedrockColumn_afe432260dd9b3394364d49c952612f64.html#afe432260dd9b3394364d49c952612f64"> 60</a></span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classpism_1_1energy_1_1BedrockColumn_afe432260dd9b3394364d49c952612f64.html#afe432260dd9b3394364d49c952612f64">m_M</a>;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  </div>
<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52"> 62</a></span>  <a class="code" href="classpism_1_1TridiagonalSystem.html">TridiagonalSystem</a> <a class="code" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> };</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> } <span class="comment">// end of namespace energy</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> } <span class="comment">// end of namespace pism</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="preprocessor">#endif </span><span class="comment">// ifndef BEDROCK_COLUMN_HH</span></div>
<div class="ttc" id="aclasspism_1_1Config_html"><div class="ttname"><a href="classpism_1_1Config.html">pism::Config</a></div><div class="ttdoc">A class for storing and accessing PISM configuration flags and parameters.</div><div class="ttdef"><b>Definition:</b> <a href="ConfigInterface_8hh_source.html#l00053">ConfigInterface.hh:53</a></div></div>
<div class="ttc" id="aclasspism_1_1TridiagonalSystem_html"><div class="ttname"><a href="classpism_1_1TridiagonalSystem.html">pism::TridiagonalSystem</a></div><div class="ttdoc">Virtual base class. Abstracts a tridiagonal system to solve in a column of ice and/or bedrock.</div><div class="ttdef"><b>Definition:</b> <a href="ColumnSystem_8hh_source.html#l00086">ColumnSystem.hh:86</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedrockColumn_a149204f6edb3c47e3be8382b0726347a_html_a149204f6edb3c47e3be8382b0726347a"><div class="ttname"><a href="classpism_1_1energy_1_1BedrockColumn_a149204f6edb3c47e3be8382b0726347a.html#a149204f6edb3c47e3be8382b0726347a">pism::energy::BedrockColumn::m_D</a></div><div class="ttdeci">double m_D</div><div class="ttdef"><b>Definition:</b> <a href="BedrockColumn_8hh_source.html#l00054">BedrockColumn.hh:54</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedrockColumn_a313187e5121e1a4e0bd52694b6e4614b_html_a313187e5121e1a4e0bd52694b6e4614b"><div class="ttname"><a href="classpism_1_1energy_1_1BedrockColumn_a313187e5121e1a4e0bd52694b6e4614b.html#a313187e5121e1a4e0bd52694b6e4614b">pism::energy::BedrockColumn::m_k</a></div><div class="ttdeci">double m_k</div><div class="ttdef"><b>Definition:</b> <a href="BedrockColumn_8hh_source.html#l00056">BedrockColumn.hh:56</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedrockColumn_a5a795780d4268b267aff66e7bd5e9650_html_a5a795780d4268b267aff66e7bd5e9650"><div class="ttname"><a href="classpism_1_1energy_1_1BedrockColumn_a5a795780d4268b267aff66e7bd5e9650.html#a5a795780d4268b267aff66e7bd5e9650">pism::energy::BedrockColumn::~BedrockColumn</a></div><div class="ttdeci">~BedrockColumn()=default</div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedrockColumn_a5dc36ed56e810ebb890baf764ac8bac7_html_a5dc36ed56e810ebb890baf764ac8bac7"><div class="ttname"><a href="classpism_1_1energy_1_1BedrockColumn_a5dc36ed56e810ebb890baf764ac8bac7.html#a5dc36ed56e810ebb890baf764ac8bac7">pism::energy::BedrockColumn::BedrockColumn</a></div><div class="ttdeci">BedrockColumn(const std::string &prefix, const Config &config, double dz, unsigned int M)</div><div class="ttdef"><b>Definition:</b> <a href="BedrockColumn_8cc_source.html#l00028">BedrockColumn.cc:28</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52_html_a8763a723efdb833c47793267a4713c52"><div class="ttname"><a href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">pism::energy::BedrockColumn::m_system</a></div><div class="ttdeci">TridiagonalSystem m_system</div><div class="ttdef"><b>Definition:</b> <a href="BedrockColumn_8hh_source.html#l00062">BedrockColumn.hh:62</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedrockColumn_aa09746e521a4bd739c68bb0c99014b9a_html_aa09746e521a4bd739c68bb0c99014b9a"><div class="ttname"><a href="classpism_1_1energy_1_1BedrockColumn_aa09746e521a4bd739c68bb0c99014b9a.html#aa09746e521a4bd739c68bb0c99014b9a">pism::energy::BedrockColumn::solve</a></div><div class="ttdeci">void solve(double dt, double Q_bottom, double T_top, const double *T_old, double *result)</div><div class="ttdef"><b>Definition:</b> <a href="BedrockColumn_8cc_source.html#l00053">BedrockColumn.cc:53</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedrockColumn_af17dc94afc90d8ad81d8336411943fc3_html_af17dc94afc90d8ad81d8336411943fc3"><div class="ttname"><a href="classpism_1_1energy_1_1BedrockColumn_af17dc94afc90d8ad81d8336411943fc3.html#af17dc94afc90d8ad81d8336411943fc3">pism::energy::BedrockColumn::m_dz</a></div><div class="ttdeci">double m_dz</div><div class="ttdef"><b>Definition:</b> <a href="BedrockColumn_8hh_source.html#l00058">BedrockColumn.hh:58</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedrockColumn_afe432260dd9b3394364d49c952612f64_html_afe432260dd9b3394364d49c952612f64"><div class="ttname"><a href="classpism_1_1energy_1_1BedrockColumn_afe432260dd9b3394364d49c952612f64.html#afe432260dd9b3394364d49c952612f64">pism::energy::BedrockColumn::m_M</a></div><div class="ttdeci">unsigned int m_M</div><div class="ttdef"><b>Definition:</b> <a href="BedrockColumn_8hh_source.html#l00060">BedrockColumn.hh:60</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedrockColumn_html"><div class="ttname"><a href="classpism_1_1energy_1_1BedrockColumn.html">pism::energy::BedrockColumn</a></div><div class="ttdef"><b>Definition:</b> <a href="BedrockColumn_8hh_source.html#l00039">BedrockColumn.hh:39</a></div></div>
<div class="ttc" id="anamespacepism_html"><div class="ttname"><a href="namespacepism.html">pism</a></div><div class="ttdef"><b>Definition:</b> <a href="AgeColumnSystem_8cc_source.html#l00023">AgeColumnSystem.cc:23</a></div></div>
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