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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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<title>PISM, A Parallel Ice Sheet Model: src/age/AgeColumnSystem.cc Source File</title>
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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_1f57d3e7ca7cfdc1bded0db8bf931243.html">age</a></li> </ul>
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<a href="AgeColumnSystem_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) 2016, 2017, 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 "pism/age/AgeColumnSystem.hh"</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include "pism/util/error_handling.hh"</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="foldopen" id="foldopen00023" data-start="{" data-end="}">
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"><a class="line" href="namespacepism.html"> 23</a></span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacepism.html">pism</a> {</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="foldopen" id="foldopen00025" data-start="{" data-end="}">
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"><a class="line" href="classpism_1_1AgeColumnSystem_a6135f260ac4e88951e917deffc4988f2.html#a6135f260ac4e88951e917deffc4988f2"> 25</a></span><a class="code hl_function" href="classpism_1_1AgeColumnSystem_a6135f260ac4e88951e917deffc4988f2.html#a6135f260ac4e88951e917deffc4988f2">AgeColumnSystem::AgeColumnSystem</a>(<span class="keyword">const</span> std::vector<double>& storage_grid,</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">const</span> std::string &my_prefix,</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordtype">double</span> dx, <span class="keywordtype">double</span> dy, <span class="keywordtype">double</span> dt,</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keyword">const</span> <a class="code hl_class" href="classpism_1_1array_1_1Array3D.html">array::Array3D</a> &age,</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_1array_1_1Array3D.html">array::Array3D</a> &u3,</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keyword">const</span> <a class="code hl_class" href="classpism_1_1array_1_1Array3D.html">array::Array3D</a> &v3,</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">const</span> <a class="code hl_class" href="classpism_1_1array_1_1Array3D.html">array::Array3D</a> &w3)</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> : <a class="code hl_class" href="classpism_1_1columnSystemCtx.html">columnSystemCtx</a>(storage_grid, my_prefix, dx, dy, dt, u3, v3, w3),</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> m_age3(age) {</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keywordtype">size_t</span> Mz = <a class="code hl_variable" href="classpism_1_1columnSystemCtx_a5ed9d406d0945939bcc99c787ad4ce77.html#a5ed9d406d0945939bcc99c787ad4ce77">m_z</a>.size();</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a7048b36a17ecfad69769e9fd3fc3efea.html#a7048b36a17ecfad69769e9fd3fc3efea">m_A</a>.resize(Mz);</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a5a4d3a22a8938d9147bd3c568414d154.html#a5a4d3a22a8938d9147bd3c568414d154">m_A_n</a>.resize(Mz);</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a6a18957b0ead367cbd8458a1042fd53e.html#a6a18957b0ead367cbd8458a1042fd53e">m_A_e</a>.resize(Mz);</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a466d3099750df713a6b600cb359d4f3d.html#a466d3099750df713a6b600cb359d4f3d">m_A_s</a>.resize(Mz);</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a5fd3d0b475178c89e1bc862e1368034a.html#a5fd3d0b475178c89e1bc862e1368034a">m_A_w</a>.resize(Mz);</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_ae7f79b75ca478f7b282126114dda6a17.html#ae7f79b75ca478f7b282126114dda6a17">m_nu</a> = <a class="code hl_variable" href="classpism_1_1columnSystemCtx_a7cea3d87c68249931d189a89702017e3.html#a7cea3d87c68249931d189a89702017e3">m_dt</a> / <a class="code hl_variable" href="classpism_1_1columnSystemCtx_add630a3e28393df93e7bcdc2916ee4dc.html#add630a3e28393df93e7bcdc2916ee4dc">m_dz</a>; <span class="comment">// derived constant</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span>}</div>
</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="foldopen" id="foldopen00045" data-start="{" data-end="}">
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"><a class="line" href="classpism_1_1AgeColumnSystem_a9bd49d15bd1969b73082f895e265d734.html#a9bd49d15bd1969b73082f895e265d734"> 45</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classpism_1_1AgeColumnSystem_a9bd49d15bd1969b73082f895e265d734.html#a9bd49d15bd1969b73082f895e265d734">AgeColumnSystem::init</a>(<span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j, <span class="keywordtype">double</span> thickness) {</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <a class="code hl_function" href="classpism_1_1columnSystemCtx_aac78ffdbea744a32f6037d4a523984a8.html#aac78ffdbea744a32f6037d4a523984a8">init_column</a>(i, j, thickness);</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> </div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classpism_1_1columnSystemCtx_a85ccb5b47952bdce19ca90c9795f92ef.html#a85ccb5b47952bdce19ca90c9795f92ef">m_ks</a> == 0) {</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> }</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <a class="code hl_function" href="classpism_1_1columnSystemCtx_a0d2fbd605fce013f2fea1599867f4a14.html#a0d2fbd605fce013f2fea1599867f4a14">coarse_to_fine</a>(<a class="code hl_variable" href="classpism_1_1columnSystemCtx_aa7be0263d524b977abf70d2d260f702a.html#aa7be0263d524b977abf70d2d260f702a">m_u3</a>, i, j, &<a class="code hl_variable" href="classpism_1_1columnSystemCtx_a9a6f4a13133638a8edf78f81a82dda3e.html#a9a6f4a13133638a8edf78f81a82dda3e">m_u</a>[0]);</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <a class="code hl_function" href="classpism_1_1columnSystemCtx_a0d2fbd605fce013f2fea1599867f4a14.html#a0d2fbd605fce013f2fea1599867f4a14">coarse_to_fine</a>(<a class="code hl_variable" href="classpism_1_1columnSystemCtx_aaed743a2b6a0edeb5216c555c5cc4a9f.html#aaed743a2b6a0edeb5216c555c5cc4a9f">m_v3</a>, i, j, &<a class="code hl_variable" href="classpism_1_1columnSystemCtx_afdb87bf2b51084f6a434c2fda7016298.html#afdb87bf2b51084f6a434c2fda7016298">m_v</a>[0]);</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <a class="code hl_function" href="classpism_1_1columnSystemCtx_a0d2fbd605fce013f2fea1599867f4a14.html#a0d2fbd605fce013f2fea1599867f4a14">coarse_to_fine</a>(<a class="code hl_variable" href="classpism_1_1columnSystemCtx_a0aadca4982519efe452e1ed5385c1c86.html#a0aadca4982519efe452e1ed5385c1c86">m_w3</a>, i, j, &<a class="code hl_variable" href="classpism_1_1columnSystemCtx_aeac0e24b9c995b197bba6b5f083757c6.html#aeac0e24b9c995b197bba6b5f083757c6">m_w</a>[0]);</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> <a class="code hl_function" href="classpism_1_1columnSystemCtx_a0d2fbd605fce013f2fea1599867f4a14.html#a0d2fbd605fce013f2fea1599867f4a14">coarse_to_fine</a>(<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_ae0e9bc4636bce69a62d6c1bbb4ddba21.html#ae0e9bc4636bce69a62d6c1bbb4ddba21">m_age3</a>, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_ad0b4bdf34c092bc52b29648c0f0cf6df.html#ad0b4bdf34c092bc52b29648c0f0cf6df">m_i</a>, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_af00639486ba077ef3cc250dc774283ab.html#af00639486ba077ef3cc250dc774283ab">m_j</a>, &<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a7048b36a17ecfad69769e9fd3fc3efea.html#a7048b36a17ecfad69769e9fd3fc3efea">m_A</a>[0]);</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <a class="code hl_function" href="classpism_1_1columnSystemCtx_a0d2fbd605fce013f2fea1599867f4a14.html#a0d2fbd605fce013f2fea1599867f4a14">coarse_to_fine</a>(<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_ae0e9bc4636bce69a62d6c1bbb4ddba21.html#ae0e9bc4636bce69a62d6c1bbb4ddba21">m_age3</a>, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_ad0b4bdf34c092bc52b29648c0f0cf6df.html#ad0b4bdf34c092bc52b29648c0f0cf6df">m_i</a>, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_af00639486ba077ef3cc250dc774283ab.html#af00639486ba077ef3cc250dc774283ab">m_j</a>+1, &<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a5a4d3a22a8938d9147bd3c568414d154.html#a5a4d3a22a8938d9147bd3c568414d154">m_A_n</a>[0]);</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <a class="code hl_function" href="classpism_1_1columnSystemCtx_a0d2fbd605fce013f2fea1599867f4a14.html#a0d2fbd605fce013f2fea1599867f4a14">coarse_to_fine</a>(<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_ae0e9bc4636bce69a62d6c1bbb4ddba21.html#ae0e9bc4636bce69a62d6c1bbb4ddba21">m_age3</a>, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_ad0b4bdf34c092bc52b29648c0f0cf6df.html#ad0b4bdf34c092bc52b29648c0f0cf6df">m_i</a>+1, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_af00639486ba077ef3cc250dc774283ab.html#af00639486ba077ef3cc250dc774283ab">m_j</a>, &<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a6a18957b0ead367cbd8458a1042fd53e.html#a6a18957b0ead367cbd8458a1042fd53e">m_A_e</a>[0]);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <a class="code hl_function" href="classpism_1_1columnSystemCtx_a0d2fbd605fce013f2fea1599867f4a14.html#a0d2fbd605fce013f2fea1599867f4a14">coarse_to_fine</a>(<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_ae0e9bc4636bce69a62d6c1bbb4ddba21.html#ae0e9bc4636bce69a62d6c1bbb4ddba21">m_age3</a>, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_ad0b4bdf34c092bc52b29648c0f0cf6df.html#ad0b4bdf34c092bc52b29648c0f0cf6df">m_i</a>, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_af00639486ba077ef3cc250dc774283ab.html#af00639486ba077ef3cc250dc774283ab">m_j</a>-1, &<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a466d3099750df713a6b600cb359d4f3d.html#a466d3099750df713a6b600cb359d4f3d">m_A_s</a>[0]);</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <a class="code hl_function" href="classpism_1_1columnSystemCtx_a0d2fbd605fce013f2fea1599867f4a14.html#a0d2fbd605fce013f2fea1599867f4a14">coarse_to_fine</a>(<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_ae0e9bc4636bce69a62d6c1bbb4ddba21.html#ae0e9bc4636bce69a62d6c1bbb4ddba21">m_age3</a>, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_ad0b4bdf34c092bc52b29648c0f0cf6df.html#ad0b4bdf34c092bc52b29648c0f0cf6df">m_i</a>-1, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_af00639486ba077ef3cc250dc774283ab.html#af00639486ba077ef3cc250dc774283ab">m_j</a>, &<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a5fd3d0b475178c89e1bc862e1368034a.html#a5fd3d0b475178c89e1bc862e1368034a">m_A_w</a>[0]);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span>}</div>
</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span><span class="comment"></span> </div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span><span class="comment">//! First-order upwind scheme with implicit in the vertical: one column solve.</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span><span class="comment"></span><span class="comment">/*!</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span><span class="comment"> The PDE being solved is</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span><span class="comment"> \f[ \frac{\partial \tau}{\partial t} + \frac{\partial}{\partial x}\left(u \tau\right) + \frac{\partial}{\partial y}\left(v \tau\right) + \frac{\partial}{\partial z}\left(w \tau\right) = 1. \f]</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span><span class="comment"> */</span></div>
<div class="foldopen" id="foldopen00068" data-start="{" data-end="}">
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"><a class="line" href="classpism_1_1AgeColumnSystem_ae4c72554404675fc0f564ec401033020.html#ae4c72554404675fc0f564ec401033020"> 68</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classpism_1_1AgeColumnSystem_ae4c72554404675fc0f564ec401033020.html#ae4c72554404675fc0f564ec401033020">AgeColumnSystem::solve</a>(std::vector<double> &x) {</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_class" href="classpism_1_1TridiagonalSystem.html">TridiagonalSystem</a> &<a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a> = *<a class="code hl_variable" href="classpism_1_1columnSystemCtx_ad7a9c3ee6d0419c1ec64fe0a3f2b2e4a.html#ad7a9c3ee6d0419c1ec64fe0a3f2b2e4a">m_solver</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> <span class="comment">// set up system: 0 <= k < m_ks</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</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> = 0; <a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a> < <a class="code hl_variable" href="classpism_1_1columnSystemCtx_a85ccb5b47952bdce19ca90c9795f92ef.html#a85ccb5b47952bdce19ca90c9795f92ef">m_ks</a>; <a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>++) {</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// do lowest-order upwinding, explicitly for horizontal</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.RHS(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = (<a class="code hl_variable" href="classpism_1_1columnSystemCtx_a9a6f4a13133638a8edf78f81a82dda3e.html#a9a6f4a13133638a8edf78f81a82dda3e">m_u</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] < 0 ?</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <a class="code hl_variable" href="classpism_1_1columnSystemCtx_a9a6f4a13133638a8edf78f81a82dda3e.html#a9a6f4a13133638a8edf78f81a82dda3e">m_u</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] * (<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a6a18957b0ead367cbd8458a1042fd53e.html#a6a18957b0ead367cbd8458a1042fd53e">m_A_e</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] - <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a7048b36a17ecfad69769e9fd3fc3efea.html#a7048b36a17ecfad69769e9fd3fc3efea">m_A</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>]) / <a class="code hl_variable" href="classpism_1_1columnSystemCtx_a2023301d2aaa0c73979ab71a204fe555.html#a2023301d2aaa0c73979ab71a204fe555">m_dx</a> :</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <a class="code hl_variable" href="classpism_1_1columnSystemCtx_a9a6f4a13133638a8edf78f81a82dda3e.html#a9a6f4a13133638a8edf78f81a82dda3e">m_u</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] * (<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a7048b36a17ecfad69769e9fd3fc3efea.html#a7048b36a17ecfad69769e9fd3fc3efea">m_A</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] - <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a5fd3d0b475178c89e1bc862e1368034a.html#a5fd3d0b475178c89e1bc862e1368034a">m_A_w</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>]) / <a class="code hl_variable" href="classpism_1_1columnSystemCtx_a2023301d2aaa0c73979ab71a204fe555.html#a2023301d2aaa0c73979ab71a204fe555">m_dx</a>);</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.RHS(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) += (<a class="code hl_variable" href="classpism_1_1columnSystemCtx_afdb87bf2b51084f6a434c2fda7016298.html#afdb87bf2b51084f6a434c2fda7016298">m_v</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] < 0 ?</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <a class="code hl_variable" href="classpism_1_1columnSystemCtx_afdb87bf2b51084f6a434c2fda7016298.html#afdb87bf2b51084f6a434c2fda7016298">m_v</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] * (<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a5a4d3a22a8938d9147bd3c568414d154.html#a5a4d3a22a8938d9147bd3c568414d154">m_A_n</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] - <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a7048b36a17ecfad69769e9fd3fc3efea.html#a7048b36a17ecfad69769e9fd3fc3efea">m_A</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>]) / <a class="code hl_variable" href="classpism_1_1columnSystemCtx_ab3749ab894cf58e241d50ea8695cbf50.html#ab3749ab894cf58e241d50ea8695cbf50">m_dy</a> :</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <a class="code hl_variable" href="classpism_1_1columnSystemCtx_afdb87bf2b51084f6a434c2fda7016298.html#afdb87bf2b51084f6a434c2fda7016298">m_v</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] * (<a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a7048b36a17ecfad69769e9fd3fc3efea.html#a7048b36a17ecfad69769e9fd3fc3efea">m_A</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] - <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a466d3099750df713a6b600cb359d4f3d.html#a466d3099750df713a6b600cb359d4f3d">m_A_s</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>]) / <a class="code hl_variable" href="classpism_1_1columnSystemCtx_ab3749ab894cf58e241d50ea8695cbf50.html#ab3749ab894cf58e241d50ea8695cbf50">m_dy</a>);</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="comment">// note it is the age eqn: dage/dt = 1.0 and we have moved the hor.</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// advection terms over to right:</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.RHS(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_a7048b36a17ecfad69769e9fd3fc3efea.html#a7048b36a17ecfad69769e9fd3fc3efea">m_A</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] + <a class="code hl_variable" href="classpism_1_1columnSystemCtx_a7cea3d87c68249931d189a89702017e3.html#a7cea3d87c68249931d189a89702017e3">m_dt</a> * (1.0 - <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.RHS(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>));</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// do lowest-order upwinding, *implicitly* for vertical</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordtype">double</span> AA = <a class="code hl_variable" href="classpism_1_1AgeColumnSystem_ae7f79b75ca478f7b282126114dda6a17.html#ae7f79b75ca478f7b282126114dda6a17">m_nu</a> * <a class="code hl_variable" href="classpism_1_1columnSystemCtx_aeac0e24b9c995b197bba6b5f083757c6.html#aeac0e24b9c995b197bba6b5f083757c6">m_w</a>[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>];</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a> > 0) {</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordflow">if</span> (AA >= 0) { <span class="comment">// upward velocity</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.L(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = - AA;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.D(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = 1.0 + AA;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.U(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = 0.0;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> } <span class="keywordflow">else</span> { <span class="comment">// downward velocity; note -AA >= 0</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.L(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = 0.0;</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.D(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = 1.0 - AA;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.U(<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>) = + AA;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> }</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> } <span class="keywordflow">else</span> { <span class="comment">// k == 0 case</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// note L[0] is not used</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">if</span> (AA > 0) { <span class="comment">// if strictly upward velocity apply boundary condition:</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// age = 0 because ice is being added to base</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.D(0) = 1.0;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.U(0) = 0.0;</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.RHS(0) = 0.0;</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> } <span class="keywordflow">else</span> { <span class="comment">// downward velocity; note -AA >= 0</span></div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.D(0) = 1.0 - AA;</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.U(0) = + AA;</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// keep rhs[0] as is</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> }</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> }</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> } <span class="comment">// done "set up system: 0 <= k < m_ks"</span></div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> </div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="comment">// surface b.c. at m_ks</span></div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classpism_1_1columnSystemCtx_a85ccb5b47952bdce19ca90c9795f92ef.html#a85ccb5b47952bdce19ca90c9795f92ef">m_ks</a> > 0) {</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.L(<a class="code hl_variable" href="classpism_1_1columnSystemCtx_a85ccb5b47952bdce19ca90c9795f92ef.html#a85ccb5b47952bdce19ca90c9795f92ef">m_ks</a>) = 0;</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.D(<a class="code hl_variable" href="classpism_1_1columnSystemCtx_a85ccb5b47952bdce19ca90c9795f92ef.html#a85ccb5b47952bdce19ca90c9795f92ef">m_ks</a>) = 1.0; <span class="comment">// ignore U[m_ks]</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.RHS(<a class="code hl_variable" href="classpism_1_1columnSystemCtx_a85ccb5b47952bdce19ca90c9795f92ef.html#a85ccb5b47952bdce19ca90c9795f92ef">m_ks</a>) = 0.0; <span class="comment">// age zero at surface</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> }</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// solve it</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordflow">try</span> {</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <a class="code hl_function" href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a>.solve(<a class="code hl_variable" href="classpism_1_1columnSystemCtx_a85ccb5b47952bdce19ca90c9795f92ef.html#a85ccb5b47952bdce19ca90c9795f92ef">m_ks</a> + 1, x);</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> }</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keywordflow">catch</span> (<a class="code hl_class" href="classpism_1_1RuntimeError.html">RuntimeError</a> &e) {</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> e.<a class="code hl_function" href="classpism_1_1RuntimeError_a6e5cdd67782873dd7defc4f98e52fdb0.html#a6e5cdd67782873dd7defc4f98e52fdb0">add_context</a>(<span class="stringliteral">"solving the tri-diagonal system (AgeColumnSystem) at (%d, %d)\n"</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="stringliteral">"saving system to m-file... "</span>, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_ad0b4bdf34c092bc52b29648c0f0cf6df.html#ad0b4bdf34c092bc52b29648c0f0cf6df">m_i</a>, <a class="code hl_variable" href="classpism_1_1columnSystemCtx_af00639486ba077ef3cc250dc774283ab.html#af00639486ba077ef3cc250dc774283ab">m_j</a>);</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <a class="code hl_function" href="classpism_1_1columnSystemCtx_a489081729a91028478ee28e487a59253.html#a489081729a91028478ee28e487a59253">reportColumnZeroPivotErrorMFile</a>(<a class="code hl_variable" href="classpism_1_1columnSystemCtx_a85ccb5b47952bdce19ca90c9795f92ef.html#a85ccb5b47952bdce19ca90c9795f92ef">m_ks</a> + 1);</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordflow">throw</span>;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> }</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="comment">// x[k] contains age for k=0,...,ks, but set age of ice above (and</span></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="comment">// at) surface to zero years</span></div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</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> = <a class="code hl_variable" href="classpism_1_1columnSystemCtx_a85ccb5b47952bdce19ca90c9795f92ef.html#a85ccb5b47952bdce19ca90c9795f92ef">m_ks</a> + 1; <a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a> < x.size(); <a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>++) {</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> x[<a class="code hl_variable" href="namespacepism_a7343afff8d353b59dbdec563bd896812.html#a7343afff8d353b59dbdec563bd896812">k</a>] = 0.0;</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> }</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span>}</div>
</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span>} <span class="comment">// end of namespace pism</span></div>
</div>
<div class="ttc" id="aclasspism_1_1AgeColumnSystem_a466d3099750df713a6b600cb359d4f3d_html_a466d3099750df713a6b600cb359d4f3d"><div class="ttname"><a href="classpism_1_1AgeColumnSystem_a466d3099750df713a6b600cb359d4f3d.html#a466d3099750df713a6b600cb359d4f3d">pism::AgeColumnSystem::m_A_s</a></div><div class="ttdeci">std::vector< double > m_A_s</div><div class="ttdef"><b>Definition</b> <a href="AgeColumnSystem_8hh_source.html#l00044">AgeColumnSystem.hh:44</a></div></div>
<div class="ttc" id="aclasspism_1_1AgeColumnSystem_a5a4d3a22a8938d9147bd3c568414d154_html_a5a4d3a22a8938d9147bd3c568414d154"><div class="ttname"><a href="classpism_1_1AgeColumnSystem_a5a4d3a22a8938d9147bd3c568414d154.html#a5a4d3a22a8938d9147bd3c568414d154">pism::AgeColumnSystem::m_A_n</a></div><div class="ttdeci">std::vector< double > m_A_n</div><div class="ttdef"><b>Definition</b> <a href="AgeColumnSystem_8hh_source.html#l00044">AgeColumnSystem.hh:44</a></div></div>
<div class="ttc" id="aclasspism_1_1AgeColumnSystem_a5fd3d0b475178c89e1bc862e1368034a_html_a5fd3d0b475178c89e1bc862e1368034a"><div class="ttname"><a href="classpism_1_1AgeColumnSystem_a5fd3d0b475178c89e1bc862e1368034a.html#a5fd3d0b475178c89e1bc862e1368034a">pism::AgeColumnSystem::m_A_w</a></div><div class="ttdeci">std::vector< double > m_A_w</div><div class="ttdef"><b>Definition</b> <a href="AgeColumnSystem_8hh_source.html#l00044">AgeColumnSystem.hh:44</a></div></div>
<div class="ttc" id="aclasspism_1_1AgeColumnSystem_a6135f260ac4e88951e917deffc4988f2_html_a6135f260ac4e88951e917deffc4988f2"><div class="ttname"><a href="classpism_1_1AgeColumnSystem_a6135f260ac4e88951e917deffc4988f2.html#a6135f260ac4e88951e917deffc4988f2">pism::AgeColumnSystem::AgeColumnSystem</a></div><div class="ttdeci">AgeColumnSystem(const std::vector< double > &storage_grid, const std::string &my_prefix, double dx, double dy, double dt, const array::Array3D &age, const array::Array3D &u3, const array::Array3D &v3, const array::Array3D &w3)</div><div class="ttdef"><b>Definition</b> <a href="AgeColumnSystem_8cc_source.html#l00025">AgeColumnSystem.cc:25</a></div></div>
<div class="ttc" id="aclasspism_1_1AgeColumnSystem_a6a18957b0ead367cbd8458a1042fd53e_html_a6a18957b0ead367cbd8458a1042fd53e"><div class="ttname"><a href="classpism_1_1AgeColumnSystem_a6a18957b0ead367cbd8458a1042fd53e.html#a6a18957b0ead367cbd8458a1042fd53e">pism::AgeColumnSystem::m_A_e</a></div><div class="ttdeci">std::vector< double > m_A_e</div><div class="ttdef"><b>Definition</b> <a href="AgeColumnSystem_8hh_source.html#l00044">AgeColumnSystem.hh:44</a></div></div>
<div class="ttc" id="aclasspism_1_1AgeColumnSystem_a7048b36a17ecfad69769e9fd3fc3efea_html_a7048b36a17ecfad69769e9fd3fc3efea"><div class="ttname"><a href="classpism_1_1AgeColumnSystem_a7048b36a17ecfad69769e9fd3fc3efea.html#a7048b36a17ecfad69769e9fd3fc3efea">pism::AgeColumnSystem::m_A</a></div><div class="ttdeci">std::vector< double > m_A</div><div class="ttdef"><b>Definition</b> <a href="AgeColumnSystem_8hh_source.html#l00044">AgeColumnSystem.hh:44</a></div></div>
<div class="ttc" id="aclasspism_1_1AgeColumnSystem_a9bd49d15bd1969b73082f895e265d734_html_a9bd49d15bd1969b73082f895e265d734"><div class="ttname"><a href="classpism_1_1AgeColumnSystem_a9bd49d15bd1969b73082f895e265d734.html#a9bd49d15bd1969b73082f895e265d734">pism::AgeColumnSystem::init</a></div><div class="ttdeci">void init(int i, int j, double thickness)</div><div class="ttdef"><b>Definition</b> <a href="AgeColumnSystem_8cc_source.html#l00045">AgeColumnSystem.cc:45</a></div></div>
<div class="ttc" id="aclasspism_1_1AgeColumnSystem_ae0e9bc4636bce69a62d6c1bbb4ddba21_html_ae0e9bc4636bce69a62d6c1bbb4ddba21"><div class="ttname"><a href="classpism_1_1AgeColumnSystem_ae0e9bc4636bce69a62d6c1bbb4ddba21.html#ae0e9bc4636bce69a62d6c1bbb4ddba21">pism::AgeColumnSystem::m_age3</a></div><div class="ttdeci">const array::Array3D & m_age3</div><div class="ttdef"><b>Definition</b> <a href="AgeColumnSystem_8hh_source.html#l00042">AgeColumnSystem.hh:42</a></div></div>
<div class="ttc" id="aclasspism_1_1AgeColumnSystem_ae4c72554404675fc0f564ec401033020_html_ae4c72554404675fc0f564ec401033020"><div class="ttname"><a href="classpism_1_1AgeColumnSystem_ae4c72554404675fc0f564ec401033020.html#ae4c72554404675fc0f564ec401033020">pism::AgeColumnSystem::solve</a></div><div class="ttdeci">void solve(std::vector< double > &x)</div><div class="ttdoc">First-order upwind scheme with implicit in the vertical: one column solve.</div><div class="ttdef"><b>Definition</b> <a href="AgeColumnSystem_8cc_source.html#l00068">AgeColumnSystem.cc:68</a></div></div>
<div class="ttc" id="aclasspism_1_1AgeColumnSystem_ae7f79b75ca478f7b282126114dda6a17_html_ae7f79b75ca478f7b282126114dda6a17"><div class="ttname"><a href="classpism_1_1AgeColumnSystem_ae7f79b75ca478f7b282126114dda6a17.html#ae7f79b75ca478f7b282126114dda6a17">pism::AgeColumnSystem::m_nu</a></div><div class="ttdeci">double m_nu</div><div class="ttdef"><b>Definition</b> <a href="AgeColumnSystem_8hh_source.html#l00043">AgeColumnSystem.hh:43</a></div></div>
<div class="ttc" id="aclasspism_1_1RuntimeError_a6e5cdd67782873dd7defc4f98e52fdb0_html_a6e5cdd67782873dd7defc4f98e52fdb0"><div class="ttname"><a href="classpism_1_1RuntimeError_a6e5cdd67782873dd7defc4f98e52fdb0.html#a6e5cdd67782873dd7defc4f98e52fdb0">pism::RuntimeError::add_context</a></div><div class="ttdeci">void add_context(const std::string &message)</div><div class="ttdoc">Add a message providing some context. This way we can (sort of) get a stack trace even though C++ exc...</div><div class="ttdef"><b>Definition</b> <a href="error__handling_8cc_source.html#l00066">error_handling.cc:66</a></div></div>
<div class="ttc" id="aclasspism_1_1RuntimeError_html"><div class="ttname"><a href="classpism_1_1RuntimeError.html">pism::RuntimeError</a></div><div class="ttdef"><b>Definition</b> <a href="error__handling_8hh_source.html#l00046">error_handling.hh:46</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_1array_1_1Array3D_html"><div class="ttname"><a href="classpism_1_1array_1_1Array3D.html">pism::array::Array3D</a></div><div class="ttdoc">A virtual class collecting methods common to ice and bedrock 3D fields.</div><div class="ttdef"><b>Definition</b> <a href="Array3D_8hh_source.html#l00033">Array3D.hh:33</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_a0aadca4982519efe452e1ed5385c1c86_html_a0aadca4982519efe452e1ed5385c1c86"><div class="ttname"><a href="classpism_1_1columnSystemCtx_a0aadca4982519efe452e1ed5385c1c86.html#a0aadca4982519efe452e1ed5385c1c86">pism::columnSystemCtx::m_w3</a></div><div class="ttdeci">const array::Array3D & m_w3</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00181">ColumnSystem.hh:181</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_a0d2fbd605fce013f2fea1599867f4a14_html_a0d2fbd605fce013f2fea1599867f4a14"><div class="ttname"><a href="classpism_1_1columnSystemCtx_a0d2fbd605fce013f2fea1599867f4a14.html#a0d2fbd605fce013f2fea1599867f4a14">pism::columnSystemCtx::coarse_to_fine</a></div><div class="ttdeci">void coarse_to_fine(const array::Array3D &input, int i, int j, double *output) const</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8cc_source.html#l00292">ColumnSystem.cc:292</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_a2023301d2aaa0c73979ab71a204fe555_html_a2023301d2aaa0c73979ab71a204fe555"><div class="ttname"><a href="classpism_1_1columnSystemCtx_a2023301d2aaa0c73979ab71a204fe555.html#a2023301d2aaa0c73979ab71a204fe555">pism::columnSystemCtx::m_dx</a></div><div class="ttdeci">double m_dx</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00169">ColumnSystem.hh:169</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_a489081729a91028478ee28e487a59253_html_a489081729a91028478ee28e487a59253"><div class="ttname"><a href="classpism_1_1columnSystemCtx_a489081729a91028478ee28e487a59253.html#a489081729a91028478ee28e487a59253">pism::columnSystemCtx::reportColumnZeroPivotErrorMFile</a></div><div class="ttdeci">void reportColumnZeroPivotErrorMFile(unsigned int M)</div><div class="ttdoc">Write system matrix and right-hand-side into an Python script. The file name contains ZERO_PIVOT_ERRO...</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8cc_source.html#l00343">ColumnSystem.cc:343</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_a5ed9d406d0945939bcc99c787ad4ce77_html_a5ed9d406d0945939bcc99c787ad4ce77"><div class="ttname"><a href="classpism_1_1columnSystemCtx_a5ed9d406d0945939bcc99c787ad4ce77.html#a5ed9d406d0945939bcc99c787ad4ce77">pism::columnSystemCtx::m_z</a></div><div class="ttdeci">std::vector< double > m_z</div><div class="ttdoc">levels of the fine vertical grid</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00178">ColumnSystem.hh:178</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_a7cea3d87c68249931d189a89702017e3_html_a7cea3d87c68249931d189a89702017e3"><div class="ttname"><a href="classpism_1_1columnSystemCtx_a7cea3d87c68249931d189a89702017e3.html#a7cea3d87c68249931d189a89702017e3">pism::columnSystemCtx::m_dt</a></div><div class="ttdeci">double m_dt</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00169">ColumnSystem.hh:169</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_a85ccb5b47952bdce19ca90c9795f92ef_html_a85ccb5b47952bdce19ca90c9795f92ef"><div class="ttname"><a href="classpism_1_1columnSystemCtx_a85ccb5b47952bdce19ca90c9795f92ef.html#a85ccb5b47952bdce19ca90c9795f92ef">pism::columnSystemCtx::m_ks</a></div><div class="ttdeci">unsigned int m_ks</div><div class="ttdoc">current system size; corresponds to the highest vertical level within the ice</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00165">ColumnSystem.hh:165</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_a9a6f4a13133638a8edf78f81a82dda3e_html_a9a6f4a13133638a8edf78f81a82dda3e"><div class="ttname"><a href="classpism_1_1columnSystemCtx_a9a6f4a13133638a8edf78f81a82dda3e.html#a9a6f4a13133638a8edf78f81a82dda3e">pism::columnSystemCtx::m_u</a></div><div class="ttdeci">std::vector< double > m_u</div><div class="ttdoc">u-component of the ice velocity</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00172">ColumnSystem.hh:172</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_aa7be0263d524b977abf70d2d260f702a_html_aa7be0263d524b977abf70d2d260f702a"><div class="ttname"><a href="classpism_1_1columnSystemCtx_aa7be0263d524b977abf70d2d260f702a.html#aa7be0263d524b977abf70d2d260f702a">pism::columnSystemCtx::m_u3</a></div><div class="ttdeci">const array::Array3D & m_u3</div><div class="ttdoc">pointers to 3D velocity components</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00181">ColumnSystem.hh:181</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_aac78ffdbea744a32f6037d4a523984a8_html_aac78ffdbea744a32f6037d4a523984a8"><div class="ttname"><a href="classpism_1_1columnSystemCtx_aac78ffdbea744a32f6037d4a523984a8.html#aac78ffdbea744a32f6037d4a523984a8">pism::columnSystemCtx::init_column</a></div><div class="ttdeci">void init_column(int i, int j, double ice_thickness)</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8cc_source.html#l00318">ColumnSystem.cc:318</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_aaed743a2b6a0edeb5216c555c5cc4a9f_html_aaed743a2b6a0edeb5216c555c5cc4a9f"><div class="ttname"><a href="classpism_1_1columnSystemCtx_aaed743a2b6a0edeb5216c555c5cc4a9f.html#aaed743a2b6a0edeb5216c555c5cc4a9f">pism::columnSystemCtx::m_v3</a></div><div class="ttdeci">const array::Array3D & m_v3</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00181">ColumnSystem.hh:181</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_ab3749ab894cf58e241d50ea8695cbf50_html_ab3749ab894cf58e241d50ea8695cbf50"><div class="ttname"><a href="classpism_1_1columnSystemCtx_ab3749ab894cf58e241d50ea8695cbf50.html#ab3749ab894cf58e241d50ea8695cbf50">pism::columnSystemCtx::m_dy</a></div><div class="ttdeci">double m_dy</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00169">ColumnSystem.hh:169</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_ad0b4bdf34c092bc52b29648c0f0cf6df_html_ad0b4bdf34c092bc52b29648c0f0cf6df"><div class="ttname"><a href="classpism_1_1columnSystemCtx_ad0b4bdf34c092bc52b29648c0f0cf6df.html#ad0b4bdf34c092bc52b29648c0f0cf6df">pism::columnSystemCtx::m_i</a></div><div class="ttdeci">int m_i</div><div class="ttdoc">current column indexes</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00167">ColumnSystem.hh:167</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_ad7a9c3ee6d0419c1ec64fe0a3f2b2e4a_html_ad7a9c3ee6d0419c1ec64fe0a3f2b2e4a"><div class="ttname"><a href="classpism_1_1columnSystemCtx_ad7a9c3ee6d0419c1ec64fe0a3f2b2e4a.html#ad7a9c3ee6d0419c1ec64fe0a3f2b2e4a">pism::columnSystemCtx::m_solver</a></div><div class="ttdeci">TridiagonalSystem * m_solver</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00160">ColumnSystem.hh:160</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_add630a3e28393df93e7bcdc2916ee4dc_html_add630a3e28393df93e7bcdc2916ee4dc"><div class="ttname"><a href="classpism_1_1columnSystemCtx_add630a3e28393df93e7bcdc2916ee4dc.html#add630a3e28393df93e7bcdc2916ee4dc">pism::columnSystemCtx::m_dz</a></div><div class="ttdeci">double m_dz</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00169">ColumnSystem.hh:169</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_aeac0e24b9c995b197bba6b5f083757c6_html_aeac0e24b9c995b197bba6b5f083757c6"><div class="ttname"><a href="classpism_1_1columnSystemCtx_aeac0e24b9c995b197bba6b5f083757c6.html#aeac0e24b9c995b197bba6b5f083757c6">pism::columnSystemCtx::m_w</a></div><div class="ttdeci">std::vector< double > m_w</div><div class="ttdoc">w-component of the ice velocity</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00176">ColumnSystem.hh:176</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_af00639486ba077ef3cc250dc774283ab_html_af00639486ba077ef3cc250dc774283ab"><div class="ttname"><a href="classpism_1_1columnSystemCtx_af00639486ba077ef3cc250dc774283ab.html#af00639486ba077ef3cc250dc774283ab">pism::columnSystemCtx::m_j</a></div><div class="ttdeci">int m_j</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00167">ColumnSystem.hh:167</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_afdb87bf2b51084f6a434c2fda7016298_html_afdb87bf2b51084f6a434c2fda7016298"><div class="ttname"><a href="classpism_1_1columnSystemCtx_afdb87bf2b51084f6a434c2fda7016298.html#afdb87bf2b51084f6a434c2fda7016298">pism::columnSystemCtx::m_v</a></div><div class="ttdeci">std::vector< double > m_v</div><div class="ttdoc">v-component of the ice velocity</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00174">ColumnSystem.hh:174</a></div></div>
<div class="ttc" id="aclasspism_1_1columnSystemCtx_html"><div class="ttname"><a href="classpism_1_1columnSystemCtx.html">pism::columnSystemCtx</a></div><div class="ttdoc">Base class for tridiagonal systems in the ice.</div><div class="ttdef"><b>Definition</b> <a href="ColumnSystem_8hh_source.html#l00144">ColumnSystem.hh:144</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>
<div class="ttc" id="atest__cube_8c_a0d20d4720401ba664775e4eccc876ed0_html_a0d20d4720401ba664775e4eccc876ed0"><div class="ttname"><a href="test__cube_8c_a0d20d4720401ba664775e4eccc876ed0.html#a0d20d4720401ba664775e4eccc876ed0">S</a></div><div class="ttdeci">static double S(unsigned n)</div><div class="ttdef"><b>Definition</b> <a href="test__cube_8c_source.html#l00058">test_cube.c:58</a></div></div>
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