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<a href="BedThermalUnit_8hh.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) 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023 Ed Bueler and Constantine Khroulev</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> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#ifndef _PISMBEDTHERMALUNIT_H_</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#define _PISMBEDTHERMALUNIT_H_</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/util/Component.hh"</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include "pism/util/Diagnostic.hh"</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include <memory></span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacepism.html">pism</a> {</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">class </span>Context;</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">class </span>Vars;</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment"></span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">//! @brief Energy balance models and utilities.</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="comment"></span><span class="keyword">namespace </span>energy {</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="comment">// Vertical grid information for BTU_Full.</span></div>
<div class="foldopen" id="foldopen00036" data-start="{" data-end="};">
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="structpism_1_1energy_1_1BTUGrid.html"> 36</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structpism_1_1energy_1_1BTUGrid.html">BTUGrid</a> {</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <a class="code hl_struct" href="structpism_1_1energy_1_1BTUGrid.html">BTUGrid</a>(std::shared_ptr<const Context> ctx);</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">static</span> <a class="code hl_struct" href="structpism_1_1energy_1_1BTUGrid.html">BTUGrid</a> <a class="code hl_function" href="structpism_1_1energy_1_1BTUGrid_a13bfdb207f2bfab1bc41772bf2c588d7.html#a13bfdb207f2bfab1bc41772bf2c588d7">FromOptions</a>(std::shared_ptr<const Context> ctx);</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="structpism_1_1energy_1_1BTUGrid_a2639aee2143db451189cf24f7ce687b1.html#a2639aee2143db451189cf24f7ce687b1"> 40</a></span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="structpism_1_1energy_1_1BTUGrid_a2639aee2143db451189cf24f7ce687b1.html#a2639aee2143db451189cf24f7ce687b1">Mbz</a>; <span class="comment">// number of vertical levels</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="structpism_1_1energy_1_1BTUGrid_ae27f635528fdf2bfbf27b05c7878ffb2.html#ae27f635528fdf2bfbf27b05c7878ffb2"> 41</a></span> <span class="keywordtype">double</span> <a class="code hl_variable" href="structpism_1_1energy_1_1BTUGrid_ae27f635528fdf2bfbf27b05c7878ffb2.html#ae27f635528fdf2bfbf27b05c7878ffb2">Lbz</a>; <span class="comment">// depth of the bed thermal layer</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span>};</div>
</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="comment"></span> </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="comment">//! Given the temperature of the top of the bedrock, for the duration of one time-step, provides upward geothermal flux at that interface at the end of the time-step.</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment"></span><span class="comment">/*!</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment"> The geothermal flux actually applied to the base of an ice sheet is dependent, over time,</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment"> on the temperature of the basal ice itself. The purpose of a bedrock thermal layer</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="comment"> in an ice sheet model is to implement this dependency by using a physical model</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="comment"> for the temperature within that layer, the upper lithosphere. Because the</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment"> upper part of the lithosphere stores or releases energy into the ice,</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment"> the typical lithosphere geothermal flux rate is not the same thing as the</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment"> geothermal flux applied to the base of the ice. This issue has long been</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="comment"> recognized by ice sheet modelers [%e.g. \ref RitzFabreLetreguilly].</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span><span class="comment"></span> </div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span><span class="comment"> For instance, suppose the ice sheet is in a balanced state in which the geothermal</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span><span class="comment"> flux deep in the crust is equal to the heat flux into the ice base. If the</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span><span class="comment"> near-surface ice cools from this state then, because the ice temperature gradient</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span><span class="comment"> is now greater in magnitude, between the warm bedrock and the cooler ice, the ice</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span><span class="comment"> will for some period receive more than the deep geothermal flux rate. Similarly,</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span><span class="comment"> if the ice warms from the balanced state then the temperature difference with</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="comment"> the bedrock has become smaller and the magnitude of the ice basal heat flux will</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span><span class="comment"> be less than the deep geothermal rate.</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span><span class="comment"></span> </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span><span class="comment"> We regard the lithosphere geothermal flux rate, which is applied in this model</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span><span class="comment"> to the base of the bedrock thermal layer, as a time-independent quantity. This</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span><span class="comment"> concept is the same as in all published ice sheet models, to our knowledge.</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span><span class="comment"></span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span><span class="comment"> Because the relevant layer of bedrock below an ice sheet is typically shallow,</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="comment"> modeling the bedrock temperature is quite simple.</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span><span class="comment"> Let \f$T_b(t,x,y,z)\f$ be the temperature of the bedrock layer, for elevations</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span><span class="comment"> \f$-L_b \le z \le 0\f$. In this routine, \f$z=0\f$ refers to the top of the</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span><span class="comment"> bedrock, the ice/bedrock interface. (Note \f$z=0\f$ is the base of the ice in</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span><span class="comment"> IceModel, and thus a different location if ice is floating.)</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span><span class="comment"> Let \f$G\f$ be the lithosphere geothermal flux rate, namely the PISM input</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span><span class="comment"> variable `bheatflx`; see Related Page \ref std_names . Let \f$k_b\f$</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span><span class="comment"> = `bedrock_thermal_conductivity` in pism_config.cdl) be the constant thermal</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span><span class="comment"> conductivity of the upper lithosphere. In these terms the actual</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span><span class="comment"> upward heat flux into the ice/bedrock interface is the quantity,</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span><span class="comment"> \f[G_0 = -k_b \frac{\partial T_b}{\partial z}.\f]</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span><span class="comment"> This is the \e output of the method top_heat_flux() in this class.</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"> The evolution equation solved in this class, for which a timestep is done by the</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span><span class="comment"> update() method, is the standard 1D heat equation</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span><span class="comment"> \f[\rho_b c_b \frac{\partial T_b}{\partial t} = k_b \frac{\partial^2 T_b}{\partial z^2}\f]</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span><span class="comment"> where \f$\rho_b\f$ = `bedrock_thermal_density` and \f$c_b\f$ =</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span><span class="comment"> `bedrock_thermal_specific_heat_capacity` in pism_config.cdl.</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span><span class="comment"></span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span><span class="comment"> If `n_levels` >= 3 then everything is the general case. The lithospheric temperature</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span><span class="comment"> in `temp` is saved in files as `litho_temp`. The top_heat_flux()</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span><span class="comment"> method uses second-order differencing to compute the values of \f$G_0\f$.</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span><span class="comment"></span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span><span class="comment"> If `n_levels` <= 1 then this object becomes very simplified: there is no internal</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span><span class="comment"> state in array::Array3D temp. The update() and allocate() methods are null,</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span><span class="comment"> and the top_heat_flux() method does nothing other than to copy the</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span><span class="comment"> field \f$G\f$ = `bheatflx` into `result`.</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span><span class="comment"></span> </div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span><span class="comment"> If `n_levels` == 2 then everything is the general case except that </span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span><span class="comment"> top_heat_flux() method uses first-order differencing to compute the</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span><span class="comment"> values of \f$G_0\f$.</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span><span class="comment">*/</span></div>
<div class="foldopen" id="foldopen00101" data-start="{" data-end="};">
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedThermalUnit.html"> 101</a></span><span class="keyword">class </span><a class="code hl_class" href="classpism_1_1energy_1_1BedThermalUnit.html">BedThermalUnit</a> : <span class="keyword">public</span> <a class="code hl_class" href="classpism_1_1Component.html">Component</a> {</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span><span class="keyword">public</span>:</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> </div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">static</span> std::shared_ptr<BedThermalUnit> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a7dcc796be115ecbea0b3bf73c686b286.html#a7dcc796be115ecbea0b3bf73c686b286">FromOptions</a>(std::shared_ptr<const Grid> <a class="code hl_variable" href="namespacepism_a47d754ed3e959d5866b02a1b78b6a5b5.html#a47d754ed3e959d5866b02a1b78b6a5b5">g</a>,</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> std::shared_ptr<const Context> ctx);</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <a class="code hl_class" href="classpism_1_1energy_1_1BedThermalUnit.html">BedThermalUnit</a>(std::shared_ptr<const Grid> <a class="code hl_variable" href="namespacepism_a47d754ed3e959d5866b02a1b78b6a5b5.html#a47d754ed3e959d5866b02a1b78b6a5b5">g</a>);</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"><a class="line" href="classpism_1_1energy_1_1BedThermalUnit_a4de107a23fb9a9598ca3fd12e1e74249.html#a4de107a23fb9a9598ca3fd12e1e74249"> 109</a></span> <span class="keyword">virtual</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a4de107a23fb9a9598ca3fd12e1e74249.html#a4de107a23fb9a9598ca3fd12e1e74249">~BedThermalUnit</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> </div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedThermalUnit_ae0fc66d1f67e77775daa640af1ae9186.html#ae0fc66d1f67e77775daa640af1ae9186"> 111</a></span> <span class="keyword">typedef</span> std::shared_ptr<BedThermalUnit> <a class="code hl_typedef" href="classpism_1_1energy_1_1BedThermalUnit_ae0fc66d1f67e77775daa640af1ae9186.html#ae0fc66d1f67e77775daa640af1ae9186">Ptr</a>;</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedThermalUnit_a38d75a086c8d7cac7c6b1ba425768769.html#a38d75a086c8d7cac7c6b1ba425768769"> 112</a></span> <span class="keyword">typedef</span> std::shared_ptr<const BedThermalUnit> <a class="code hl_typedef" href="classpism_1_1energy_1_1BedThermalUnit_a38d75a086c8d7cac7c6b1ba425768769.html#a38d75a086c8d7cac7c6b1ba425768769">ConstPtr</a>;</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a6a2dfb1142ba186aa5fac12a69efb0d6.html#a6a2dfb1142ba186aa5fac12a69efb0d6">init</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structpism_1_1InputOptions.html">InputOptions</a> &opts);</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span><span class="comment"></span> </div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span><span class="comment"> //! Return the upward heat flux through the top surface of the bedrock thermal layer.</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span><span class="comment"></span> <span class="keyword">const</span> <a class="code hl_class" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a>& <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a4af18f2d395062dc40417804e56f985c.html#a4af18f2d395062dc40417804e56f985c">flux_through_top_surface</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span><span class="comment"></span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span><span class="comment"> //! Return the upward heat flux through the bottom surface of the bedrock thermal layer.</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span><span class="comment"></span> <span class="keyword">const</span> <a class="code hl_class" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a>& <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_acc771778288822c79a0f6e09a26f04c7.html#acc771778288822c79a0f6e09a26f04c7">flux_through_bottom_surface</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a3ac86dafc8cc8cf46f986c7228867104.html#a3ac86dafc8cc8cf46f986c7228867104">update</a>(<span class="keyword">const</span> <a class="code hl_class" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a> &bedrock_top_temperature,</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keywordtype">double</span> t, <span class="keywordtype">double</span> dt);</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordtype">double</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_ac059f034933c5eb3997114b18f9e3f5b.html#ac059f034933c5eb3997114b18f9e3f5b">vertical_spacing</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordtype">double</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a1c2a795ce7d829d5489f03da25ba74cd.html#a1c2a795ce7d829d5489f03da25ba74cd">depth</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_af6dda43e1b39561c1243f913ff7492f1.html#af6dda43e1b39561c1243f913ff7492f1">Mz</a>() <span class="keyword">const</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="keyword">protected</span>:</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a2fbeaea4c4f4cdba0317bfa2ad5585ea.html#a2fbeaea4c4f4cdba0317bfa2ad5585ea">initialize_bottom_surface_flux</a>();</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a6443c4334e00de7c6e165030a4490d0a.html#a6443c4334e00de7c6e165030a4490d0a">init_impl</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structpism_1_1InputOptions.html">InputOptions</a> &opts);</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"><a class="line" href="classpism_1_1energy_1_1BedThermalUnit_ae1f93a7dbc10618f045c577235b80111.html#ae1f93a7dbc10618f045c577235b80111"> 135</a></span> <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_ae1f93a7dbc10618f045c577235b80111.html#ae1f93a7dbc10618f045c577235b80111">update_impl</a>(<span class="keyword">const</span> <a class="code hl_class" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a> &bedrock_top_temperature,</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordtype">double</span> t, <span class="keywordtype">double</span> dt) = 0;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> </div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedThermalUnit_a9aa4a9448e30c0dba0bf72adafff15a8.html#a9aa4a9448e30c0dba0bf72adafff15a8"> 138</a></span> <span class="keyword">virtual</span> <span class="keywordtype">double</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a9aa4a9448e30c0dba0bf72adafff15a8.html#a9aa4a9448e30c0dba0bf72adafff15a8">vertical_spacing_impl</a>() <span class="keyword">const</span> = 0;</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedThermalUnit_a7b8432ffbed9e58098c255c2d6235f0f.html#a7b8432ffbed9e58098c255c2d6235f0f"> 139</a></span> <span class="keyword">virtual</span> <span class="keywordtype">double</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a7b8432ffbed9e58098c255c2d6235f0f.html#a7b8432ffbed9e58098c255c2d6235f0f">depth_impl</a>() <span class="keyword">const</span> = 0;</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedThermalUnit_ab54d7fc49cfdcf84304b92387c5de025.html#ab54d7fc49cfdcf84304b92387c5de025"> 140</a></span> <span class="keyword">virtual</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_ab54d7fc49cfdcf84304b92387c5de025.html#ab54d7fc49cfdcf84304b92387c5de025">Mz_impl</a>() <span class="keyword">const</span> = 0;</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a8123a093ba1065e040baf8c5f4353267.html#a8123a093ba1065e040baf8c5f4353267">define_model_state_impl</a>(<span class="keyword">const</span> <a class="code hl_class" href="classpism_1_1File.html">File</a> &output) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_a993e7c538a2e7556c39c4d2973d9a28b.html#a993e7c538a2e7556c39c4d2973d9a28b">write_model_state_impl</a>(<span class="keyword">const</span> <a class="code hl_class" href="classpism_1_1File.html">File</a> &output) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="keyword">virtual</span> <a class="code hl_typedef" href="namespacepism_a6154a990ba873c6ca606d8a320c441ac.html#a6154a990ba873c6ca606d8a320c441ac">DiagnosticList</a> <a class="code hl_function" href="classpism_1_1energy_1_1BedThermalUnit_aae52fe78cdf59fc20380f72eb34eda02.html#aae52fe78cdf59fc20380f72eb34eda02">diagnostics_impl</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span><span class="comment"></span> </div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span><span class="comment"> //! upward heat flux through the bottom surface of the bed thermal layer</span></div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedThermalUnit_a5c7563d7cfb2e6d1c0d8f2468a2a4ca8.html#a5c7563d7cfb2e6d1c0d8f2468a2a4ca8"> 148</a></span><span class="comment"></span> <a class="code hl_class" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a> <a class="code hl_variable" href="classpism_1_1energy_1_1BedThermalUnit_a5c7563d7cfb2e6d1c0d8f2468a2a4ca8.html#a5c7563d7cfb2e6d1c0d8f2468a2a4ca8">m_bottom_surface_flux</a>;</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span><span class="comment"></span> </div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span><span class="comment"> //! upward heat flux through the top surface of the bed thermal layer</span></div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BedThermalUnit_adfc811194c0ddcce465f80c9f7a5b4ef.html#adfc811194c0ddcce465f80c9f7a5b4ef"> 151</a></span><span class="comment"></span> <a class="code hl_class" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a> <a class="code hl_variable" href="classpism_1_1energy_1_1BedThermalUnit_adfc811194c0ddcce465f80c9f7a5b4ef.html#adfc811194c0ddcce465f80c9f7a5b4ef">m_top_surface_flux</a>;</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span>};</div>
</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="foldopen" id="foldopen00154" data-start="{" data-end="};">
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"><a class="line" href="classpism_1_1energy_1_1BTU__geothermal__flux__at__ground__level.html"> 154</a></span><span class="keyword">class </span><a class="code hl_class" href="classpism_1_1energy_1_1BTU__geothermal__flux__at__ground__level.html">BTU_geothermal_flux_at_ground_level</a> : <span class="keyword">public</span> <a class="code hl_class" href="classpism_1_1Diag.html">Diag</a><BedThermalUnit> {</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span><span class="keyword">public</span>:</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <a class="code hl_class" href="classpism_1_1energy_1_1BTU__geothermal__flux__at__ground__level.html">BTU_geothermal_flux_at_ground_level</a>(<span class="keyword">const</span> <a class="code hl_class" href="classpism_1_1energy_1_1BedThermalUnit.html">BedThermalUnit</a> *m);</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span><span class="keyword">protected</span>:</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keyword">virtual</span> std::shared_ptr<array::Array> <a class="code hl_function" href="classpism_1_1energy_1_1BTU__geothermal__flux__at__ground__level_add140bb626dac5ef0b87acaf156fd720.html#add140bb626dac5ef0b87acaf156fd720">compute_impl</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span>};</div>
</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span>} <span class="comment">// end of namespace energy</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span>} <span class="comment">// end of namespace pism</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span><span class="preprocessor">#endif </span><span class="comment">/* _PISMBEDTHERMALUNIT_H_ */</span><span class="preprocessor"></span></div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="ttc" id="aclasspism_1_1Component_html"><div class="ttname"><a href="classpism_1_1Component.html">pism::Component</a></div><div class="ttdoc">A class defining a common interface for most PISM sub-models.</div><div class="ttdef"><b>Definition</b> <a href="Component_8hh_source.html#l00118">Component.hh:118</a></div></div>
<div class="ttc" id="aclasspism_1_1Diag_html"><div class="ttname"><a href="classpism_1_1Diag.html">pism::Diag</a></div><div class="ttdoc">A template derived from Diagnostic, adding a "Model".</div><div class="ttdef"><b>Definition</b> <a href="Diagnostic_8hh_source.html#l00166">Diagnostic.hh:166</a></div></div>
<div class="ttc" id="aclasspism_1_1File_html"><div class="ttname"><a href="classpism_1_1File.html">pism::File</a></div><div class="ttdoc">High-level PISM I/O class.</div><div class="ttdef"><b>Definition</b> <a href="File_8hh_source.html#l00054">File.hh:55</a></div></div>
<div class="ttc" id="aclasspism_1_1array_1_1Scalar_html"><div class="ttname"><a href="classpism_1_1array_1_1Scalar.html">pism::array::Scalar</a></div><div class="ttdef"><b>Definition</b> <a href="Scalar_8hh_source.html#l00031">Scalar.hh:31</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BTU__geothermal__flux__at__ground__level_add140bb626dac5ef0b87acaf156fd720_html_add140bb626dac5ef0b87acaf156fd720"><div class="ttname"><a href="classpism_1_1energy_1_1BTU__geothermal__flux__at__ground__level_add140bb626dac5ef0b87acaf156fd720.html#add140bb626dac5ef0b87acaf156fd720">pism::energy::BTU_geothermal_flux_at_ground_level::compute_impl</a></div><div class="ttdeci">virtual std::shared_ptr< array::Array > compute_impl() const</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00228">BedThermalUnit.cc:228</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BTU__geothermal__flux__at__ground__level_html"><div class="ttname"><a href="classpism_1_1energy_1_1BTU__geothermal__flux__at__ground__level.html">pism::energy::BTU_geothermal_flux_at_ground_level</a></div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8hh_source.html#l00154">BedThermalUnit.hh:154</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a1c2a795ce7d829d5489f03da25ba74cd_html_a1c2a795ce7d829d5489f03da25ba74cd"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a1c2a795ce7d829d5489f03da25ba74cd.html#a1c2a795ce7d829d5489f03da25ba74cd">pism::energy::BedThermalUnit::depth</a></div><div class="ttdeci">double depth() const</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00171">BedThermalUnit.cc:171</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a2fbeaea4c4f4cdba0317bfa2ad5585ea_html_a2fbeaea4c4f4cdba0317bfa2ad5585ea"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a2fbeaea4c4f4cdba0317bfa2ad5585ea.html#a2fbeaea4c4f4cdba0317bfa2ad5585ea">pism::energy::BedThermalUnit::initialize_bottom_surface_flux</a></div><div class="ttdeci">virtual void initialize_bottom_surface_flux()</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00152">BedThermalUnit.cc:152</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a38d75a086c8d7cac7c6b1ba425768769_html_a38d75a086c8d7cac7c6b1ba425768769"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a38d75a086c8d7cac7c6b1ba425768769.html#a38d75a086c8d7cac7c6b1ba425768769">pism::energy::BedThermalUnit::ConstPtr</a></div><div class="ttdeci">std::shared_ptr< const BedThermalUnit > ConstPtr</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8hh_source.html#l00112">BedThermalUnit.hh:112</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a3ac86dafc8cc8cf46f986c7228867104_html_a3ac86dafc8cc8cf46f986c7228867104"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a3ac86dafc8cc8cf46f986c7228867104.html#a3ac86dafc8cc8cf46f986c7228867104">pism::energy::BedThermalUnit::update</a></div><div class="ttdeci">void update(const array::Scalar &bedrock_top_temperature, double t, double dt)</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00201">BedThermalUnit.cc:201</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a4af18f2d395062dc40417804e56f985c_html_a4af18f2d395062dc40417804e56f985c"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a4af18f2d395062dc40417804e56f985c.html#a4af18f2d395062dc40417804e56f985c">pism::energy::BedThermalUnit::flux_through_top_surface</a></div><div class="ttdeci">const array::Scalar & flux_through_top_surface() const</div><div class="ttdoc">Return the upward heat flux through the top surface of the bedrock thermal layer.</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00206">BedThermalUnit.cc:206</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a4de107a23fb9a9598ca3fd12e1e74249_html_a4de107a23fb9a9598ca3fd12e1e74249"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a4de107a23fb9a9598ca3fd12e1e74249.html#a4de107a23fb9a9598ca3fd12e1e74249">pism::energy::BedThermalUnit::~BedThermalUnit</a></div><div class="ttdeci">virtual ~BedThermalUnit()=default</div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a5c7563d7cfb2e6d1c0d8f2468a2a4ca8_html_a5c7563d7cfb2e6d1c0d8f2468a2a4ca8"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a5c7563d7cfb2e6d1c0d8f2468a2a4ca8.html#a5c7563d7cfb2e6d1c0d8f2468a2a4ca8">pism::energy::BedThermalUnit::m_bottom_surface_flux</a></div><div class="ttdeci">array::Scalar m_bottom_surface_flux</div><div class="ttdoc">upward heat flux through the bottom surface of the bed thermal layer</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8hh_source.html#l00148">BedThermalUnit.hh:148</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a6443c4334e00de7c6e165030a4490d0a_html_a6443c4334e00de7c6e165030a4490d0a"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a6443c4334e00de7c6e165030a4490d0a.html#a6443c4334e00de7c6e165030a4490d0a">pism::energy::BedThermalUnit::init_impl</a></div><div class="ttdeci">virtual void init_impl(const InputOptions &opts)</div><div class="ttdoc">Initialize the bedrock thermal unit.</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00121">BedThermalUnit.cc:121</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a6a2dfb1142ba186aa5fac12a69efb0d6_html_a6a2dfb1142ba186aa5fac12a69efb0d6"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a6a2dfb1142ba186aa5fac12a69efb0d6.html#a6a2dfb1142ba186aa5fac12a69efb0d6">pism::energy::BedThermalUnit::init</a></div><div class="ttdeci">void init(const InputOptions &opts)</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00116">BedThermalUnit.cc:116</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a7b8432ffbed9e58098c255c2d6235f0f_html_a7b8432ffbed9e58098c255c2d6235f0f"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a7b8432ffbed9e58098c255c2d6235f0f.html#a7b8432ffbed9e58098c255c2d6235f0f">pism::energy::BedThermalUnit::depth_impl</a></div><div class="ttdeci">virtual double depth_impl() const =0</div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a7dcc796be115ecbea0b3bf73c686b286_html_a7dcc796be115ecbea0b3bf73c686b286"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a7dcc796be115ecbea0b3bf73c686b286.html#a7dcc796be115ecbea0b3bf73c686b286">pism::energy::BedThermalUnit::FromOptions</a></div><div class="ttdeci">static std::shared_ptr< BedThermalUnit > FromOptions(std::shared_ptr< const Grid > g, std::shared_ptr< const Context > ctx)</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00079">BedThermalUnit.cc:79</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a8123a093ba1065e040baf8c5f4353267_html_a8123a093ba1065e040baf8c5f4353267"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a8123a093ba1065e040baf8c5f4353267.html#a8123a093ba1065e040baf8c5f4353267">pism::energy::BedThermalUnit::define_model_state_impl</a></div><div class="ttdeci">virtual void define_model_state_impl(const File &output) const</div><div class="ttdoc">The default (empty implementation).</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00182">BedThermalUnit.cc:182</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a993e7c538a2e7556c39c4d2973d9a28b_html_a993e7c538a2e7556c39c4d2973d9a28b"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a993e7c538a2e7556c39c4d2973d9a28b.html#a993e7c538a2e7556c39c4d2973d9a28b">pism::energy::BedThermalUnit::write_model_state_impl</a></div><div class="ttdeci">virtual void write_model_state_impl(const File &output) const</div><div class="ttdoc">The default (empty implementation).</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00186">BedThermalUnit.cc:186</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_a9aa4a9448e30c0dba0bf72adafff15a8_html_a9aa4a9448e30c0dba0bf72adafff15a8"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_a9aa4a9448e30c0dba0bf72adafff15a8.html#a9aa4a9448e30c0dba0bf72adafff15a8">pism::energy::BedThermalUnit::vertical_spacing_impl</a></div><div class="ttdeci">virtual double vertical_spacing_impl() const =0</div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_aae52fe78cdf59fc20380f72eb34eda02_html_aae52fe78cdf59fc20380f72eb34eda02"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_aae52fe78cdf59fc20380f72eb34eda02.html#aae52fe78cdf59fc20380f72eb34eda02">pism::energy::BedThermalUnit::diagnostics_impl</a></div><div class="ttdeci">virtual DiagnosticList diagnostics_impl() const</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00190">BedThermalUnit.cc:190</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_ab54d7fc49cfdcf84304b92387c5de025_html_ab54d7fc49cfdcf84304b92387c5de025"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_ab54d7fc49cfdcf84304b92387c5de025.html#ab54d7fc49cfdcf84304b92387c5de025">pism::energy::BedThermalUnit::Mz_impl</a></div><div class="ttdeci">virtual unsigned int Mz_impl() const =0</div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_ac059f034933c5eb3997114b18f9e3f5b_html_ac059f034933c5eb3997114b18f9e3f5b"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_ac059f034933c5eb3997114b18f9e3f5b.html#ac059f034933c5eb3997114b18f9e3f5b">pism::energy::BedThermalUnit::vertical_spacing</a></div><div class="ttdeci">double vertical_spacing() const</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00164">BedThermalUnit.cc:164</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_acc771778288822c79a0f6e09a26f04c7_html_acc771778288822c79a0f6e09a26f04c7"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_acc771778288822c79a0f6e09a26f04c7.html#acc771778288822c79a0f6e09a26f04c7">pism::energy::BedThermalUnit::flux_through_bottom_surface</a></div><div class="ttdeci">const array::Scalar & flux_through_bottom_surface() const</div><div class="ttdoc">Return the upward heat flux through the bottom surface of the bedrock thermal layer.</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00210">BedThermalUnit.cc:210</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_adfc811194c0ddcce465f80c9f7a5b4ef_html_adfc811194c0ddcce465f80c9f7a5b4ef"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_adfc811194c0ddcce465f80c9f7a5b4ef.html#adfc811194c0ddcce465f80c9f7a5b4ef">pism::energy::BedThermalUnit::m_top_surface_flux</a></div><div class="ttdeci">array::Scalar m_top_surface_flux</div><div class="ttdoc">upward heat flux through the top surface of the bed thermal layer</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8hh_source.html#l00151">BedThermalUnit.hh:151</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_ae0fc66d1f67e77775daa640af1ae9186_html_ae0fc66d1f67e77775daa640af1ae9186"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_ae0fc66d1f67e77775daa640af1ae9186.html#ae0fc66d1f67e77775daa640af1ae9186">pism::energy::BedThermalUnit::Ptr</a></div><div class="ttdeci">std::shared_ptr< BedThermalUnit > Ptr</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8hh_source.html#l00111">BedThermalUnit.hh:111</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_ae1f93a7dbc10618f045c577235b80111_html_ae1f93a7dbc10618f045c577235b80111"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_ae1f93a7dbc10618f045c577235b80111.html#ae1f93a7dbc10618f045c577235b80111">pism::energy::BedThermalUnit::update_impl</a></div><div class="ttdeci">virtual void update_impl(const array::Scalar &bedrock_top_temperature, double t, double dt)=0</div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_af6dda43e1b39561c1243f913ff7492f1_html_af6dda43e1b39561c1243f913ff7492f1"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit_af6dda43e1b39561c1243f913ff7492f1.html#af6dda43e1b39561c1243f913ff7492f1">pism::energy::BedThermalUnit::Mz</a></div><div class="ttdeci">unsigned int Mz() const</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00178">BedThermalUnit.cc:178</a></div></div>
<div class="ttc" id="aclasspism_1_1energy_1_1BedThermalUnit_html"><div class="ttname"><a href="classpism_1_1energy_1_1BedThermalUnit.html">pism::energy::BedThermalUnit</a></div><div class="ttdoc">Given the temperature of the top of the bedrock, for the duration of one time-step,...</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8hh_source.html#l00101">BedThermalUnit.hh:101</a></div></div>
<div class="ttc" id="anamespacepism_a47d754ed3e959d5866b02a1b78b6a5b5_html_a47d754ed3e959d5866b02a1b78b6a5b5"><div class="ttname"><a href="namespacepism_a47d754ed3e959d5866b02a1b78b6a5b5.html#a47d754ed3e959d5866b02a1b78b6a5b5">pism::g</a></div><div class="ttdeci">static const double g</div><div class="ttdef"><b>Definition</b> <a href="exactTestP_8cc_source.html#l00036">exactTestP.cc:36</a></div></div>
<div class="ttc" id="anamespacepism_a6154a990ba873c6ca606d8a320c441ac_html_a6154a990ba873c6ca606d8a320c441ac"><div class="ttname"><a href="namespacepism_a6154a990ba873c6ca606d8a320c441ac.html#a6154a990ba873c6ca606d8a320c441ac">pism::DiagnosticList</a></div><div class="ttdeci">std::map< std::string, Diagnostic::Ptr > DiagnosticList</div><div class="ttdef"><b>Definition</b> <a href="Diagnostic_8hh_source.html#l00125">Diagnostic.hh:125</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="astructpism_1_1InputOptions_html"><div class="ttname"><a href="structpism_1_1InputOptions.html">pism::InputOptions</a></div><div class="ttdef"><b>Definition</b> <a href="Component_8hh_source.html#l00058">Component.hh:58</a></div></div>
<div class="ttc" id="astructpism_1_1energy_1_1BTUGrid_a13bfdb207f2bfab1bc41772bf2c588d7_html_a13bfdb207f2bfab1bc41772bf2c588d7"><div class="ttname"><a href="structpism_1_1energy_1_1BTUGrid_a13bfdb207f2bfab1bc41772bf2c588d7.html#a13bfdb207f2bfab1bc41772bf2c588d7">pism::energy::BTUGrid::FromOptions</a></div><div class="ttdeci">static BTUGrid FromOptions(std::shared_ptr< const Context > ctx)</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8cc_source.html#l00038">BedThermalUnit.cc:38</a></div></div>
<div class="ttc" id="astructpism_1_1energy_1_1BTUGrid_a2639aee2143db451189cf24f7ce687b1_html_a2639aee2143db451189cf24f7ce687b1"><div class="ttname"><a href="structpism_1_1energy_1_1BTUGrid_a2639aee2143db451189cf24f7ce687b1.html#a2639aee2143db451189cf24f7ce687b1">pism::energy::BTUGrid::Mbz</a></div><div class="ttdeci">unsigned int Mbz</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8hh_source.html#l00040">BedThermalUnit.hh:40</a></div></div>
<div class="ttc" id="astructpism_1_1energy_1_1BTUGrid_ae27f635528fdf2bfbf27b05c7878ffb2_html_ae27f635528fdf2bfbf27b05c7878ffb2"><div class="ttname"><a href="structpism_1_1energy_1_1BTUGrid_ae27f635528fdf2bfbf27b05c7878ffb2.html#ae27f635528fdf2bfbf27b05c7878ffb2">pism::energy::BTUGrid::Lbz</a></div><div class="ttdeci">double Lbz</div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8hh_source.html#l00041">BedThermalUnit.hh:41</a></div></div>
<div class="ttc" id="astructpism_1_1energy_1_1BTUGrid_html"><div class="ttname"><a href="structpism_1_1energy_1_1BTUGrid.html">pism::energy::BTUGrid</a></div><div class="ttdef"><b>Definition</b> <a href="BedThermalUnit_8hh_source.html#l00036">BedThermalUnit.hh:36</a></div></div>
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