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<div id="projectname">PISM, A Parallel Ice Sheet Model
 <span id="projectnumber">stable v2.1-1-g6902d5502 committed by Ed Bueler on 2023-12-20 08:38:27 -0800</span>
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<a href="BedSmoother_8hh.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright (C) 2010, 2011, 2013, 2014, 2015, 2016, 2017, 2020, 2021, 2022 Ed Bueler and Constantine Khroulev</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">//</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// This file is part of PISM.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">//</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// PISM is free software; you can redistribute it and/or modify it under the</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// terms of the GNU General Public License as published by the Free Software</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Foundation; either version 3 of the License, or (at your option) any later</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// version.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">//</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// PISM is distributed in the hope that it will be useful, but WITHOUT ANY</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// FOR A PARTICULAR PURPOSE. See the GNU General Public License for more</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment">// details.</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">//</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">// You should have received a copy of the GNU General Public License</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">// along with PISM; if not, write to the Free Software</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">// Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  </div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#ifndef __BedSmoother_hh</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#define __BedSmoother_hh</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include <petsc.h></span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "pism/util/array/Scalar.hh"</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "pism/util/ConfigInterface.hh"</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="keyword">namespace </span><a class="code" href="namespacepism.html">pism</a> {</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="keyword">class </span>Grid;</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="keyword">class </span>Config;</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">namespace </span>array {</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">class </span>CellType1;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">class </span>CellType2;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">class </span>CellType;</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> } <span class="comment">// end of namespace array</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">namespace </span>stressbalance {</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"></span> </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment">//! PISM bed smoother, plus bed roughness parameterization, based on Schoof (2003).</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"></span><span class="comment">/*!</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"> This class both smooths the bed and computes coefficients for an approximation</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"> to Schoof's \f$\theta\f$. The factor \f$0\le \theta \le 1\f$ multiplies the diffusivity</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment"> in the theory of the effect of bed roughness in the SIA by Christian Schoof</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> (2003; *The effect of basal topography on ice sheet dynamics*) [\ref</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> Schoofbasaltopg2003].</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"></span> </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"> For additional information on this class see page \ref bedrough.</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"></span> </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"> The user of this class hands BedSmoother an "original" topography, and it</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> is preprocessed to fill the smoothed topography `topgsmooth`, and the</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> coefficients in an approximation to \f$\theta\f$. This is done by a call to </span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"> `preprocess_bed()`. The call requires the half-width of the smoothing square</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"> (a distance in m), or the number of grid points in each direction in the</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment"> smoothing rectangle, and the Glen exponent.</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment"></span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"> The call to `preprocess_bed()` *must be repeated* any time the "original"</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment"> topography changes, for instance at the start of an IceModel run, or at a bed</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment"> deformation step in an IceModel run.</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"></span> </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment"> BedSmoother then provides three major functionalities, all of which \e must</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> \e follow the call to `preprocess_bed()`:</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> -# User accesses public array::Scalar `topgsmooth`, the smoothed bed itself.</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment"> -# User asks `get_smoothed_thk()` for gridded values of the consistent smoothed</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment"> version of the ice thickness, which is the thickness corresponding to a given</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment"> surface elevation and the pre-computed smoothed bed.</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> -# User asks for gridded values of \f$\theta(h,x,y)\f$ using `get_theta()`.</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment"></span> </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="comment"> Here is a basic example of the creation and usage of a BedSmoother instance.</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="comment"> Note that BedSmoother will update ghosted values in `topgsmooth`, and other</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment"> internal fields, and update them in the return fields `thksmooth`, `theta`,</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="comment"> if asked. In IceModel::velocitySIAStaggered()</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="comment"> \code</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment"> BedSmoother smoother(grid, 2);</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="comment"> const double n = 3.0,</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="comment"> lambda = 50.0e3;</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment"> ierr = smoother.preprocess_bed(topg, n, lambda); CHKERRQ(ierr);</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment"> ierr = smoother.get_smoothed_thk(usurf, thk, 1, &thksmooth); CHKERRQ(ierr);</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment"> ierr = smoother.get_theta(usurf, n, 1, &theta); CHKERRQ(ierr);</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment"> \endcode</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment"> See Grid documentation for initializing `grid`. Note we assume</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment"> `topg`, `usurf`, `thk`, `thksmooth`, and `theta` are all created</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="comment"> array::Scalar instances.</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment">*/</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BedSmoother.html"> 85</a></span> <span class="keyword">class </span><a class="code" href="classpism_1_1stressbalance_1_1BedSmoother.html">BedSmoother</a> {</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a32338d245c30dd4f2a3bb5218f59e3bc.html#a32338d245c30dd4f2a3bb5218f59e3bc">BedSmoother</a>(std::shared_ptr<const Grid> <a class="code" href="namespacepism_a47d754ed3e959d5866b02a1b78b6a5b5.html#a47d754ed3e959d5866b02a1b78b6a5b5">g</a>);</div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BedSmoother_a2a21f0c740b0753ab62e00ce9dba9bdd.html#a2a21f0c740b0753ab62e00ce9dba9bdd"> 88</a></span>  <span class="keyword">virtual</span> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a2a21f0c740b0753ab62e00ce9dba9bdd.html#a2a21f0c740b0753ab62e00ce9dba9bdd">~BedSmoother</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  </div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordtype">void</span> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_ae13dd0bbf11b712bbef3eeaf93a8f527.html#ae13dd0bbf11b712bbef3eeaf93a8f527">preprocess_bed</a>(<span class="keyword">const</span> <a class="code" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a> &topg);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordtype">void</span> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a38b304465661b70e7d2faa4b49aff5eb.html#a38b304465661b70e7d2faa4b49aff5eb">smoothed_thk</a>(<span class="keyword">const</span> <a class="code" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a> &usurf,</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keyword">const</span> <a class="code" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a> &thk,</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">const</span> <a class="code" href="classpism_1_1array_1_1CellType2.html">array::CellType2</a> &mask,</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a> &thksmooth) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordtype">void</span> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a71b068f8e7b3d3aa7235e6d1bec1f797.html#a71b068f8e7b3d3aa7235e6d1bec1f797">theta</a>(<span class="keyword">const</span> <a class="code" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a> &usurf, <a class="code" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a> &result) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keyword">const</span> <a class="code" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a>& <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a706c3a4805bc78586d0e0d8e4973b7bb.html#a706c3a4805bc78586d0e0d8e4973b7bb">smoothed_bed</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BedSmoother_ad95e0c783c9d8318bb7eecf09284d1eb.html#ad95e0c783c9d8318bb7eecf09284d1eb"> 101</a></span>  std::shared_ptr<const Grid> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_ad95e0c783c9d8318bb7eecf09284d1eb.html#ad95e0c783c9d8318bb7eecf09284d1eb">m_grid</a>;</div>
<div class="line"><a name="l00102"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BedSmoother_aa72b3eb0e614bc7111e99f39e66d0187.html#aa72b3eb0e614bc7111e99f39e66d0187"> 102</a></span>  <span class="keyword">const</span> <a class="code" href="classpism_1_1Config_a4dc1634c0eac358eb86303633024f810.html#a4dc1634c0eac358eb86303633024f810">Config::ConstPtr</a> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_aa72b3eb0e614bc7111e99f39e66d0187.html#aa72b3eb0e614bc7111e99f39e66d0187">m_config</a>;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment"></span> </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment"> //! smoothed bed elevation; set by calling preprocess_bed()</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BedSmoother_a4c86442bfdbbc2a4ba9e2f20407c4b55.html#a4c86442bfdbbc2a4ba9e2f20407c4b55"> 105</a></span> <span class="comment"></span> <a class="code" href="classpism_1_1array_1_1Scalar2.html">array::Scalar2</a> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a4c86442bfdbbc2a4ba9e2f20407c4b55.html#a4c86442bfdbbc2a4ba9e2f20407c4b55">m_topgsmooth</a>;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  </div>
<div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BedSmoother_a487e1e99477f270bc123982315713169.html#a487e1e99477f270bc123982315713169"> 107</a></span>  <a class="code" href="classpism_1_1array_1_1Scalar2.html">array::Scalar2</a> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a7b2336a229c4cd4b7e0b08edd7c716eb.html#a7b2336a229c4cd4b7e0b08edd7c716eb">m_maxtl</a>, <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a487e1e99477f270bc123982315713169.html#a487e1e99477f270bc123982315713169">m_C2</a>, <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_ae744391ca2db8b254d3b037da92cbbba.html#ae744391ca2db8b254d3b037da92cbbba">m_C3</a>, <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a1ed491372b68c6e6e8a50010b112b681.html#a1ed491372b68c6e6e8a50010b112b681">m_C4</a>;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="comment">/* number of grid points to smooth over; e.g. i=-Nx,-Nx+1,...,-1,0,1,...,Nx-1,Nx; note</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment"> Nx>=1 and Ny>=1 always, unless lambda<=0</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BedSmoother_ae0db8dcdf5af87a7feb0bdb472b71227.html#ae0db8dcdf5af87a7feb0bdb472b71227"> 112</a></span>  <span class="keywordtype">int</span> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_ae0db8dcdf5af87a7feb0bdb472b71227.html#ae0db8dcdf5af87a7feb0bdb472b71227">m_Nx</a>, <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a2553d3b7d74feebc688a654cf3cef75e.html#a2553d3b7d74feebc688a654cf3cef75e">m_Ny</a>;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
<div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BedSmoother_a01b79ef0eb383f13aa8b62bb590d38c0.html#a01b79ef0eb383f13aa8b62bb590d38c0"> 114</a></span>  <span class="keywordtype">double</span> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a01b79ef0eb383f13aa8b62bb590d38c0.html#a01b79ef0eb383f13aa8b62bb590d38c0">m_Glen_exponent</a>, <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a1da9b441304f82bf6fc8fb7c70c6a7a8.html#a1da9b441304f82bf6fc8fb7c70c6a7a8">m_smoothing_range</a>;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment"></span> </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"> //! original bed elevation on processor 0</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BedSmoother_a43d6ca6da2f6513d1a5115d6b5de8332.html#a43d6ca6da2f6513d1a5115d6b5de8332"> 117</a></span> <span class="comment"></span> std::shared_ptr<petsc::Vec> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a43d6ca6da2f6513d1a5115d6b5de8332.html#a43d6ca6da2f6513d1a5115d6b5de8332">m_topgp0</a>;<span class="comment"></span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="comment"> //! smoothed bed elevation on processor 0</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BedSmoother_ab1c917c55fc9b6fc0e3265ed1ee71202.html#ab1c917c55fc9b6fc0e3265ed1ee71202"> 119</a></span> <span class="comment"></span> std::shared_ptr<petsc::Vec> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_ab1c917c55fc9b6fc0e3265ed1ee71202.html#ab1c917c55fc9b6fc0e3265ed1ee71202">m_topgsmoothp0</a>;<span class="comment"></span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment"> //! maximum elevation at (i,j) of local topography (nearby patch)</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BedSmoother_af200deb02932da18adb78d12a908346f.html#af200deb02932da18adb78d12a908346f"> 121</a></span> <span class="comment"></span> std::shared_ptr<petsc::Vec> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a4f727584546e4cef224c33484d1e41e2.html#a4f727584546e4cef224c33484d1e41e2">m_maxtlp0</a>, <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_af200deb02932da18adb78d12a908346f.html#af200deb02932da18adb78d12a908346f">m_C2p0</a>, <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a02fb4d8d2e000f58a4eabcc1d0bf1ccb.html#a02fb4d8d2e000f58a4eabcc1d0bf1ccb">m_C3p0</a>, <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_ad07977b6a5e8b8df9963203bca80553b.html#ad07977b6a5e8b8df9963203bca80553b">m_C4p0</a>;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordtype">void</span> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_ae13dd0bbf11b712bbef3eeaf93a8f527.html#ae13dd0bbf11b712bbef3eeaf93a8f527">preprocess_bed</a>(<span class="keyword">const</span> <a class="code" href="classpism_1_1array_1_1Scalar.html">array::Scalar</a> &topg,</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> Nx_in, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> Ny_in);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordtype">void</span> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a58ff28fd406efac160671b5067fcf2e1.html#a58ff28fd406efac160671b5067fcf2e1">smooth_the_bed_on_proc0</a>();</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordtype">void</span> <a class="code" href="classpism_1_1stressbalance_1_1BedSmoother_a84c1adc9a37d8099c419c21d14e045d9.html#a84c1adc9a37d8099c419c21d14e045d9">compute_coefficients_on_proc0</a>();</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> };</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  </div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> } <span class="comment">// end of namespace stressbalance</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> } <span class="comment">// end of namespace pism</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="preprocessor">#endif </span><span class="comment">// __BedSmoother_hh</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  </div>
<div class="ttc" id="aclasspism_1_1Config_a4dc1634c0eac358eb86303633024f810_html_a4dc1634c0eac358eb86303633024f810"><div class="ttname"><a href="classpism_1_1Config_a4dc1634c0eac358eb86303633024f810.html#a4dc1634c0eac358eb86303633024f810">pism::Config::ConstPtr</a></div><div class="ttdeci">std::shared_ptr< const Config > ConstPtr</div><div class="ttdef"><b>Definition:</b> <a href="ConfigInterface_8hh_source.html#l00056">ConfigInterface.hh:56</a></div></div>
<div class="ttc" id="aclasspism_1_1array_1_1CellType2_html"><div class="ttname"><a href="classpism_1_1array_1_1CellType2.html">pism::array::CellType2</a></div><div class="ttdef"><b>Definition:</b> <a href="CellType_8hh_source.html#l00117">CellType.hh:117</a></div></div>
<div class="ttc" id="aclasspism_1_1array_1_1Scalar2_html"><div class="ttname"><a href="classpism_1_1array_1_1Scalar2.html">pism::array::Scalar2</a></div><div class="ttdef"><b>Definition:</b> <a href="Scalar_8hh_source.html#l00067">Scalar.hh:67</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_1stressbalance_1_1BedSmoother_a01b79ef0eb383f13aa8b62bb590d38c0_html_a01b79ef0eb383f13aa8b62bb590d38c0"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a01b79ef0eb383f13aa8b62bb590d38c0.html#a01b79ef0eb383f13aa8b62bb590d38c0">pism::stressbalance::BedSmoother::m_Glen_exponent</a></div><div class="ttdeci">double m_Glen_exponent</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00114">BedSmoother.hh:114</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a02fb4d8d2e000f58a4eabcc1d0bf1ccb_html_a02fb4d8d2e000f58a4eabcc1d0bf1ccb"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a02fb4d8d2e000f58a4eabcc1d0bf1ccb.html#a02fb4d8d2e000f58a4eabcc1d0bf1ccb">pism::stressbalance::BedSmoother::m_C3p0</a></div><div class="ttdeci">std::shared_ptr< petsc::Vec > m_C3p0</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00121">BedSmoother.hh:121</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a1da9b441304f82bf6fc8fb7c70c6a7a8_html_a1da9b441304f82bf6fc8fb7c70c6a7a8"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a1da9b441304f82bf6fc8fb7c70c6a7a8.html#a1da9b441304f82bf6fc8fb7c70c6a7a8">pism::stressbalance::BedSmoother::m_smoothing_range</a></div><div class="ttdeci">double m_smoothing_range</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00114">BedSmoother.hh:114</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a1ed491372b68c6e6e8a50010b112b681_html_a1ed491372b68c6e6e8a50010b112b681"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a1ed491372b68c6e6e8a50010b112b681.html#a1ed491372b68c6e6e8a50010b112b681">pism::stressbalance::BedSmoother::m_C4</a></div><div class="ttdeci">array::Scalar2 m_C4</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00107">BedSmoother.hh:107</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a2553d3b7d74feebc688a654cf3cef75e_html_a2553d3b7d74feebc688a654cf3cef75e"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a2553d3b7d74feebc688a654cf3cef75e.html#a2553d3b7d74feebc688a654cf3cef75e">pism::stressbalance::BedSmoother::m_Ny</a></div><div class="ttdeci">int m_Ny</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00112">BedSmoother.hh:112</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a2a21f0c740b0753ab62e00ce9dba9bdd_html_a2a21f0c740b0753ab62e00ce9dba9bdd"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a2a21f0c740b0753ab62e00ce9dba9bdd.html#a2a21f0c740b0753ab62e00ce9dba9bdd">pism::stressbalance::BedSmoother::~BedSmoother</a></div><div class="ttdeci">virtual ~BedSmoother()=default</div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a32338d245c30dd4f2a3bb5218f59e3bc_html_a32338d245c30dd4f2a3bb5218f59e3bc"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a32338d245c30dd4f2a3bb5218f59e3bc.html#a32338d245c30dd4f2a3bb5218f59e3bc">pism::stressbalance::BedSmoother::BedSmoother</a></div><div class="ttdeci">BedSmoother(std::shared_ptr< const Grid > g)</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8cc_source.html#l00034">BedSmoother.cc:34</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a38b304465661b70e7d2faa4b49aff5eb_html_a38b304465661b70e7d2faa4b49aff5eb"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a38b304465661b70e7d2faa4b49aff5eb.html#a38b304465661b70e7d2faa4b49aff5eb">pism::stressbalance::BedSmoother::smoothed_thk</a></div><div class="ttdeci">void smoothed_thk(const array::Scalar &usurf, const array::Scalar &thk, const array::CellType2 &mask, array::Scalar &thksmooth) const</div><div class="ttdoc">Computes a smoothed thickness map.</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8cc_source.html#l00282">BedSmoother.cc:282</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a43d6ca6da2f6513d1a5115d6b5de8332_html_a43d6ca6da2f6513d1a5115d6b5de8332"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a43d6ca6da2f6513d1a5115d6b5de8332.html#a43d6ca6da2f6513d1a5115d6b5de8332">pism::stressbalance::BedSmoother::m_topgp0</a></div><div class="ttdeci">std::shared_ptr< petsc::Vec > m_topgp0</div><div class="ttdoc">original bed elevation on processor 0</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00117">BedSmoother.hh:117</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a487e1e99477f270bc123982315713169_html_a487e1e99477f270bc123982315713169"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a487e1e99477f270bc123982315713169.html#a487e1e99477f270bc123982315713169">pism::stressbalance::BedSmoother::m_C2</a></div><div class="ttdeci">array::Scalar2 m_C2</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00107">BedSmoother.hh:107</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a4c86442bfdbbc2a4ba9e2f20407c4b55_html_a4c86442bfdbbc2a4ba9e2f20407c4b55"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a4c86442bfdbbc2a4ba9e2f20407c4b55.html#a4c86442bfdbbc2a4ba9e2f20407c4b55">pism::stressbalance::BedSmoother::m_topgsmooth</a></div><div class="ttdeci">array::Scalar2 m_topgsmooth</div><div class="ttdoc">smoothed bed elevation; set by calling preprocess_bed()</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00105">BedSmoother.hh:105</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a4f727584546e4cef224c33484d1e41e2_html_a4f727584546e4cef224c33484d1e41e2"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a4f727584546e4cef224c33484d1e41e2.html#a4f727584546e4cef224c33484d1e41e2">pism::stressbalance::BedSmoother::m_maxtlp0</a></div><div class="ttdeci">std::shared_ptr< petsc::Vec > m_maxtlp0</div><div class="ttdoc">maximum elevation at (i,j) of local topography (nearby patch)</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00121">BedSmoother.hh:121</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a58ff28fd406efac160671b5067fcf2e1_html_a58ff28fd406efac160671b5067fcf2e1"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a58ff28fd406efac160671b5067fcf2e1.html#a58ff28fd406efac160671b5067fcf2e1">pism::stressbalance::BedSmoother::smooth_the_bed_on_proc0</a></div><div class="ttdeci">void smooth_the_bed_on_proc0()</div><div class="ttdoc">Computes the smoothed bed by a simple average over a rectangle of grid points.</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8cc_source.html#l00155">BedSmoother.cc:155</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a706c3a4805bc78586d0e0d8e4973b7bb_html_a706c3a4805bc78586d0e0d8e4973b7bb"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a706c3a4805bc78586d0e0d8e4973b7bb.html#a706c3a4805bc78586d0e0d8e4973b7bb">pism::stressbalance::BedSmoother::smoothed_bed</a></div><div class="ttdeci">const array::Scalar & smoothed_bed() const</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8cc_source.html#l00122">BedSmoother.cc:122</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a71b068f8e7b3d3aa7235e6d1bec1f797_html_a71b068f8e7b3d3aa7235e6d1bec1f797"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a71b068f8e7b3d3aa7235e6d1bec1f797.html#a71b068f8e7b3d3aa7235e6d1bec1f797">pism::stressbalance::BedSmoother::theta</a></div><div class="ttdeci">void theta(const array::Scalar &usurf, array::Scalar &result) const</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8cc_source.html#l00350">BedSmoother.cc:350</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a7b2336a229c4cd4b7e0b08edd7c716eb_html_a7b2336a229c4cd4b7e0b08edd7c716eb"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a7b2336a229c4cd4b7e0b08edd7c716eb.html#a7b2336a229c4cd4b7e0b08edd7c716eb">pism::stressbalance::BedSmoother::m_maxtl</a></div><div class="ttdeci">array::Scalar2 m_maxtl</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00107">BedSmoother.hh:107</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_a84c1adc9a37d8099c419c21d14e045d9_html_a84c1adc9a37d8099c419c21d14e045d9"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_a84c1adc9a37d8099c419c21d14e045d9.html#a84c1adc9a37d8099c419c21d14e045d9">pism::stressbalance::BedSmoother::compute_coefficients_on_proc0</a></div><div class="ttdeci">void compute_coefficients_on_proc0()</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8cc_source.html#l00192">BedSmoother.cc:192</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_aa72b3eb0e614bc7111e99f39e66d0187_html_aa72b3eb0e614bc7111e99f39e66d0187"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_aa72b3eb0e614bc7111e99f39e66d0187.html#aa72b3eb0e614bc7111e99f39e66d0187">pism::stressbalance::BedSmoother::m_config</a></div><div class="ttdeci">const Config::ConstPtr m_config</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00102">BedSmoother.hh:102</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_ab1c917c55fc9b6fc0e3265ed1ee71202_html_ab1c917c55fc9b6fc0e3265ed1ee71202"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_ab1c917c55fc9b6fc0e3265ed1ee71202.html#ab1c917c55fc9b6fc0e3265ed1ee71202">pism::stressbalance::BedSmoother::m_topgsmoothp0</a></div><div class="ttdeci">std::shared_ptr< petsc::Vec > m_topgsmoothp0</div><div class="ttdoc">smoothed bed elevation on processor 0</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00119">BedSmoother.hh:119</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_ad07977b6a5e8b8df9963203bca80553b_html_ad07977b6a5e8b8df9963203bca80553b"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_ad07977b6a5e8b8df9963203bca80553b.html#ad07977b6a5e8b8df9963203bca80553b">pism::stressbalance::BedSmoother::m_C4p0</a></div><div class="ttdeci">std::shared_ptr< petsc::Vec > m_C4p0</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00121">BedSmoother.hh:121</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_ad95e0c783c9d8318bb7eecf09284d1eb_html_ad95e0c783c9d8318bb7eecf09284d1eb"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_ad95e0c783c9d8318bb7eecf09284d1eb.html#ad95e0c783c9d8318bb7eecf09284d1eb">pism::stressbalance::BedSmoother::m_grid</a></div><div class="ttdeci">std::shared_ptr< const Grid > m_grid</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00101">BedSmoother.hh:101</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_ae0db8dcdf5af87a7feb0bdb472b71227_html_ae0db8dcdf5af87a7feb0bdb472b71227"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_ae0db8dcdf5af87a7feb0bdb472b71227.html#ae0db8dcdf5af87a7feb0bdb472b71227">pism::stressbalance::BedSmoother::m_Nx</a></div><div class="ttdeci">int m_Nx</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00112">BedSmoother.hh:112</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_ae13dd0bbf11b712bbef3eeaf93a8f527_html_ae13dd0bbf11b712bbef3eeaf93a8f527"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_ae13dd0bbf11b712bbef3eeaf93a8f527.html#ae13dd0bbf11b712bbef3eeaf93a8f527">pism::stressbalance::BedSmoother::preprocess_bed</a></div><div class="ttdeci">void preprocess_bed(const array::Scalar &topg)</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8cc_source.html#l00097">BedSmoother.cc:97</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_ae744391ca2db8b254d3b037da92cbbba_html_ae744391ca2db8b254d3b037da92cbbba"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_ae744391ca2db8b254d3b037da92cbbba.html#ae744391ca2db8b254d3b037da92cbbba">pism::stressbalance::BedSmoother::m_C3</a></div><div class="ttdeci">array::Scalar2 m_C3</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00107">BedSmoother.hh:107</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_af200deb02932da18adb78d12a908346f_html_af200deb02932da18adb78d12a908346f"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother_af200deb02932da18adb78d12a908346f.html#af200deb02932da18adb78d12a908346f">pism::stressbalance::BedSmoother::m_C2p0</a></div><div class="ttdeci">std::shared_ptr< petsc::Vec > m_C2p0</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00121">BedSmoother.hh:121</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BedSmoother_html"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BedSmoother.html">pism::stressbalance::BedSmoother</a></div><div class="ttdoc">PISM bed smoother, plus bed roughness parameterization, based on Schoof (2003).</div><div class="ttdef"><b>Definition:</b> <a href="BedSmoother_8hh_source.html#l00085">BedSmoother.hh:85</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_html"><div class="ttname"><a href="namespacepism.html">pism</a></div><div class="ttdef"><b>Definition:</b> <a href="AgeColumnSystem_8cc_source.html#l00023">AgeColumnSystem.cc:23</a></div></div>
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