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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<div id="projectname">PISM, A Parallel Ice Sheet Model<span id="projectnumber"> 2.2.2-d6b3a29ca committed by Constantine Khrulev on 2025-03-28</span>
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<li class="navelem"><a class="el" href="dir_68267d1309a1af8e8297ef4c3efbcdba.html">src</a></li><li class="navelem"><a class="el" href="dir_6dbe3a74fddfb865e2d1b322bca63f2b.html">energy</a></li> </ul>
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<a href="BedrockColumn_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">/* Copyright (C) 2019, 2023 PISM Authors</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment"> *</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment"> * This file is part of PISM.</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment"> *</span></div>
<div class="line"><a id="l00005" 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 id="l00006" 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 id="l00007" 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 id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment"> * version.</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment"> *</span></div>
<div class="line"><a id="l00010" 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 id="l00011" 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 id="l00012" 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 id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="comment"> * details.</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="comment"> *</span></div>
<div class="line"><a id="l00015" 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 id="l00016" 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 id="l00017" 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 id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="comment"> */</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include <cassert></span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include "pism/energy/BedrockColumn.hh"</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include "pism/util/ConfigInterface.hh"</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacepism.html">pism</a> {</div>
<div class="foldopen" id="foldopen00026" data-start="{" data-end="}">
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="namespacepism_1_1energy.html"> 26</a></span><span class="keyword">namespace </span>energy {</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="foldopen" id="foldopen00028" data-start="{" data-end="}">
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedrockColumn_a5dc36ed56e810ebb890baf764ac8bac7.html#a5dc36ed56e810ebb890baf764ac8bac7"> 28</a></span><a class="code hl_function" href="classpism_1_1energy_1_1BedrockColumn_a5dc36ed56e810ebb890baf764ac8bac7.html#a5dc36ed56e810ebb890baf764ac8bac7">BedrockColumn::BedrockColumn</a>(<span class="keyword">const</span> std::string& prefix,</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="keyword">const</span> <a class="code hl_class" href="classpism_1_1Config.html">Config</a>& config, <span class="keywordtype">double</span> dz, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> M)</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> : m_dz(dz), m_M(M), m_system(M, prefix) {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> assert(M > 1);</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">const</span> <span class="keywordtype">double</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <a class="code hl_define" href="exactTestM_8c_af34a2efdcb2b1e7ba33447d305849221.html#af34a2efdcb2b1e7ba33447d305849221">rho</a> = config.<a class="code hl_function" href="classpism_1_1Config_a3d85dee64feb6cb551f98b32cf6db27d.html#a3d85dee64feb6cb551f98b32cf6db27d">get_number</a>(<span class="stringliteral">"energy.bedrock_thermal.density"</span>),</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> c = config.<a class="code hl_function" href="classpism_1_1Config_a3d85dee64feb6cb551f98b32cf6db27d.html#a3d85dee64feb6cb551f98b32cf6db27d">get_number</a>(<span class="stringliteral">"energy.bedrock_thermal.specific_heat_capacity"</span>);</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a313187e5121e1a4e0bd52694b6e4614b.html#a313187e5121e1a4e0bd52694b6e4614b">m_k</a> = config.<a class="code hl_function" href="classpism_1_1Config_a3d85dee64feb6cb551f98b32cf6db27d.html#a3d85dee64feb6cb551f98b32cf6db27d">get_number</a>(<span class="stringliteral">"energy.bedrock_thermal.conductivity"</span>);</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a149204f6edb3c47e3be8382b0726347a.html#a149204f6edb3c47e3be8382b0726347a">m_D</a> = <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a313187e5121e1a4e0bd52694b6e4614b.html#a313187e5121e1a4e0bd52694b6e4614b">m_k</a> / (<a class="code hl_define" href="exactTestM_8c_af34a2efdcb2b1e7ba33447d305849221.html#af34a2efdcb2b1e7ba33447d305849221">rho</a> * c);</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span>}</div>
</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="comment"></span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment">/*!</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="comment"> * Advance the heat equation in time.</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="comment"> *</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment"> * @param[in] dt time step length</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment"> * @param[in] Q_bottom heat flux into the column through the bottom surface</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment"> * @param[in] T_top temperature at the top surface</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="comment"> * @param[in] T_old current temperature in the column</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="comment"> * @param[out] T_new output</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment"> *</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment"> * Note: T_old and T_new may point to the same location.</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment"> */</span></div>
<div class="foldopen" id="foldopen00053" data-start="{" data-end="}">
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedrockColumn_aa09746e521a4bd739c68bb0c99014b9a.html#aa09746e521a4bd739c68bb0c99014b9a"> 53</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedrockColumn_aa09746e521a4bd739c68bb0c99014b9a.html#aa09746e521a4bd739c68bb0c99014b9a">BedrockColumn::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 id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">const</span> <span class="keywordtype">double</span> *T_old, <span class="keywordtype">double</span> *T_new) {</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordtype">double</span> R = <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a149204f6edb3c47e3be8382b0726347a.html#a149204f6edb3c47e3be8382b0726347a">m_D</a> * dt / (<a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_af17dc94afc90d8ad81d8336411943fc3.html#af17dc94afc90d8ad81d8336411943fc3">m_dz</a> * <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_af17dc94afc90d8ad81d8336411943fc3.html#af17dc94afc90d8ad81d8336411943fc3">m_dz</a>);</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="exactTestK_8c_ab97e4616d23ed4c2961295010c1afc3c.html#ab97e4616d23ed4c2961295010c1afc3c">G</a> = -Q_bottom / <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a313187e5121e1a4e0bd52694b6e4614b.html#a313187e5121e1a4e0bd52694b6e4614b">m_k</a>;</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a0b5316f6340c0cfd8a6712b8d2e15b19.html#a0b5316f6340c0cfd8a6712b8d2e15b19">L</a>(0) = 0.0; <span class="comment">// not used</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a00e9e309c51bf4e97d90142965b8bc27.html#a00e9e309c51bf4e97d90142965b8bc27">D</a>(0) = 1.0 + 2.0 * R;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a99a9e90a3c36e6c1ac0cfc491952953b.html#a99a9e90a3c36e6c1ac0cfc491952953b">U</a>(0) = -2.0 * R;</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a39a0b3030d6b91704209f47973a80c63.html#a39a0b3030d6b91704209f47973a80c63">RHS</a>(0) = T_old[0] - 2.0 * <a class="code hl_variable" href="exactTestK_8c_ab97e4616d23ed4c2961295010c1afc3c.html#ab97e4616d23ed4c2961295010c1afc3c">G</a> * <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_af17dc94afc90d8ad81d8336411943fc3.html#af17dc94afc90d8ad81d8336411943fc3">m_dz</a> * R;</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> N = <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_afe432260dd9b3394364d49c952612f64.html#afe432260dd9b3394364d49c952612f64">m_M</a> - 1;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a> = 1; <a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a> < N; ++<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) {</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a0b5316f6340c0cfd8a6712b8d2e15b19.html#a0b5316f6340c0cfd8a6712b8d2e15b19">L</a>(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = -R;</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a00e9e309c51bf4e97d90142965b8bc27.html#a00e9e309c51bf4e97d90142965b8bc27">D</a>(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = 1.0 + 2.0 * R;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a99a9e90a3c36e6c1ac0cfc491952953b.html#a99a9e90a3c36e6c1ac0cfc491952953b">U</a>(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = -R;</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a39a0b3030d6b91704209f47973a80c63.html#a39a0b3030d6b91704209f47973a80c63">RHS</a>(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = T_old[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>];</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> }</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a0b5316f6340c0cfd8a6712b8d2e15b19.html#a0b5316f6340c0cfd8a6712b8d2e15b19">L</a>(N) = 0.0;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a00e9e309c51bf4e97d90142965b8bc27.html#a00e9e309c51bf4e97d90142965b8bc27">D</a>(N) = 1.0;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a99a9e90a3c36e6c1ac0cfc491952953b.html#a99a9e90a3c36e6c1ac0cfc491952953b">U</a>(N) = 0.0; <span class="comment">// not used</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a39a0b3030d6b91704209f47973a80c63.html#a39a0b3030d6b91704209f47973a80c63">RHS</a>(N) = T_top;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> </div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_a8763a723efdb833c47793267a4713c52.html#a8763a723efdb833c47793267a4713c52">m_system</a>.<a class="code hl_function" href="classpism_1_1TridiagonalSystem_a557d48fec7e6cbc7770d310fb36601e9.html#a557d48fec7e6cbc7770d310fb36601e9">solve</a>(<a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_afe432260dd9b3394364d49c952612f64.html#afe432260dd9b3394364d49c952612f64">m_M</a>, T_new);</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>}</div>
</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span><span class="comment"></span> </div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span><span class="comment">/*!</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span><span class="comment"> * This version of `solve()` is easier to use in Python.</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span><span class="comment"> */</span></div>
<div class="foldopen" id="foldopen00084" data-start="{" data-end="}">
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedrockColumn_a5ea31b1a8791facb6b52da568f9ab577.html#a5ea31b1a8791facb6b52da568f9ab577"> 84</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedrockColumn_aa09746e521a4bd739c68bb0c99014b9a.html#aa09746e521a4bd739c68bb0c99014b9a">BedrockColumn::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 id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keyword">const</span> std::vector<double> &T_old,</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> std::vector<double> &result) {</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> result.resize(<a class="code hl_variable" href="classpism_1_1energy_1_1BedrockColumn_afe432260dd9b3394364d49c952612f64.html#afe432260dd9b3394364d49c952612f64">m_M</a>);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedrockColumn_aa09746e521a4bd739c68bb0c99014b9a.html#aa09746e521a4bd739c68bb0c99014b9a">solve</a>(dt, Q_bottom, T_top, T_old.data(), result.data());</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span>}</div>
</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span>} <span class="comment">// end of namespace energy</span></div>
</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span>} <span class="comment">// end of namespace pism</span></div>
<div class="ttc" id="aclasspism_1_1Config_a3d85dee64feb6cb551f98b32cf6db27d_html_a3d85dee64feb6cb551f98b32cf6db27d"><div class="ttname"><a href="classpism_1_1Config_a3d85dee64feb6cb551f98b32cf6db27d.html#a3d85dee64feb6cb551f98b32cf6db27d">pism::Config::get_number</a></div><div class="ttdeci">double get_number(const std::string &name, UseFlag flag=REMEMBER_THIS_USE) const</div><div class="ttdef"><b>Definition</b> <a href="ConfigInterface_8cc_source.html#l00194">ConfigInterface.cc:194</a></div></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#l00054">ConfigInterface.hh:54</a></div></div>
<div class="ttc" id="aclasspism_1_1TridiagonalSystem_a00e9e309c51bf4e97d90142965b8bc27_html_a00e9e309c51bf4e97d90142965b8bc27"><div class="ttname"><a href="classpism_1_1TridiagonalSystem_a00e9e309c51bf4e97d90142965b8bc27.html#a00e9e309c51bf4e97d90142965b8bc27">pism::TridiagonalSystem::D</a></div><div class="ttdeci">double & D(size_t i)</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00122">ColumnSystem.hh:122</a></div></div>
<div class="ttc" id="aclasspism_1_1TridiagonalSystem_a0b5316f6340c0cfd8a6712b8d2e15b19_html_a0b5316f6340c0cfd8a6712b8d2e15b19"><div class="ttname"><a href="classpism_1_1TridiagonalSystem_a0b5316f6340c0cfd8a6712b8d2e15b19.html#a0b5316f6340c0cfd8a6712b8d2e15b19">pism::TridiagonalSystem::L</a></div><div class="ttdeci">double & L(size_t i)</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00119">ColumnSystem.hh:119</a></div></div>
<div class="ttc" id="aclasspism_1_1TridiagonalSystem_a39a0b3030d6b91704209f47973a80c63_html_a39a0b3030d6b91704209f47973a80c63"><div class="ttname"><a href="classpism_1_1TridiagonalSystem_a39a0b3030d6b91704209f47973a80c63.html#a39a0b3030d6b91704209f47973a80c63">pism::TridiagonalSystem::RHS</a></div><div class="ttdeci">double & RHS(size_t i)</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00128">ColumnSystem.hh:128</a></div></div>
<div class="ttc" id="aclasspism_1_1TridiagonalSystem_a557d48fec7e6cbc7770d310fb36601e9_html_a557d48fec7e6cbc7770d310fb36601e9"><div class="ttname"><a href="classpism_1_1TridiagonalSystem_a557d48fec7e6cbc7770d310fb36601e9.html#a557d48fec7e6cbc7770d310fb36601e9">pism::TridiagonalSystem::solve</a></div><div class="ttdeci">void solve(unsigned int system_size, std::vector< double > &result)</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8cc_source.html#l00200">ColumnSystem.cc:200</a></div></div>
<div class="ttc" id="aclasspism_1_1TridiagonalSystem_a99a9e90a3c36e6c1ac0cfc491952953b_html_a99a9e90a3c36e6c1ac0cfc491952953b"><div class="ttname"><a href="classpism_1_1TridiagonalSystem_a99a9e90a3c36e6c1ac0cfc491952953b.html#a99a9e90a3c36e6c1ac0cfc491952953b">pism::TridiagonalSystem::U</a></div><div class="ttdeci">double & U(size_t i)</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00125">ColumnSystem.hh:125</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_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="aexactTestK_8c_ab97e4616d23ed4c2961295010c1afc3c_html_ab97e4616d23ed4c2961295010c1afc3c"><div class="ttname"><a href="exactTestK_8c_ab97e4616d23ed4c2961295010c1afc3c.html#ab97e4616d23ed4c2961295010c1afc3c">G</a></div><div class="ttdeci">const double G</div><div class="ttdef"><b>Definition</b> <a href="exactTestK_8c_source.html#l00040">exactTestK.c:40</a></div></div>
<div class="ttc" id="aexactTestM_8c_af34a2efdcb2b1e7ba33447d305849221_html_af34a2efdcb2b1e7ba33447d305849221"><div class="ttname"><a href="exactTestM_8c_af34a2efdcb2b1e7ba33447d305849221.html#af34a2efdcb2b1e7ba33447d305849221">rho</a></div><div class="ttdeci">#define rho</div><div class="ttdef"><b>Definition</b> <a href="exactTestM_8c_source.html#l00035">exactTestM.c:35</a></div></div>
<div class="ttc" id="anamespacepism_a7343afff8d353b59dbdec563bd896812_html_a7343afff8d353b59dbdec563bd896812"><div class="ttname"><a href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">pism::k</a></div><div class="ttdeci">static const double k</div><div class="ttdef"><b>Definition</b> <a href="exactTestP_8cc_source.html#l00042">exactTestP.cc:42</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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