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<div class="title">normalRolling.hpp</div>  </div>
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<a href="normalRolling_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*------------------------------- phasicFlow ---------------------------------</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">      O        C enter of</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">     O O       E ngineering and</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">    O   O      M ultiscale modeling of</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">   OOOOOOO     F luid flow       </span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">------------------------------------------------------------------------------</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">  Copyright (C): www.cemf.ir</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">  email: hamid.r.norouzi AT gmail.com</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">------------------------------------------------------------------------------  </span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">Licence:</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">  This file is part of phasicFlow code. It is a free software for simulating </span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">  granular and multiphase flows. You can redistribute it and/or modify it under</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">  the terms of GNU General Public License v3 or any other later versions. </span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"> </span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">  phasicFlow is distributed to help others in their research in the field of </span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">  granular and multiphase flows, but WITHOUT ANY WARRANTY; without even the</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">  implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">-----------------------------------------------------------------------------*/</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160; </div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#ifndef __normalRolling_hpp__</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#define __normalRolling_hpp__</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160; </div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160; </div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacepFlow_1_1cfModels.html">pFlow::cfModels</a></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;{</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160; </div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> contactForceModel&gt;</div>
<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="classpFlow_1_1cfModels_1_1normalRolling.html">   29</a></span>&#160;<span class="keyword">class </span><a class="code" href="classpFlow_1_1cfModels_1_1normalRolling.html">normalRolling</a></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;:</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">public</span> contactForceModel</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;{</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    </div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">using</span> <a class="code" href="classpFlow_1_1cfModels_1_1normalRolling.html#abde0f8fd1beee5d33aa1df3f5955f216">contactForceStorage</a> = </div>
<div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="classpFlow_1_1cfModels_1_1normalRolling.html#abde0f8fd1beee5d33aa1df3f5955f216">   36</a></span>&#160;        <span class="keyword">typename</span> contactForceModel::contactForceStorage;</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160; </div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160; </div>
<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="classpFlow_1_1cfModels_1_1normalRolling.html#a85ea430d13591441a957cff38b9c57a6">   39</a></span>&#160;    <a class="code" href="classpFlow_1_1symArray.html">realSymArray_D</a>      <a class="code" href="classpFlow_1_1cfModels_1_1normalRolling.html#a85ea430d13591441a957cff38b9c57a6">mur_</a>;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160; </div>
<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="classpFlow_1_1cfModels_1_1normalRolling.html#a2166bf008f0bcbf975cc66ade88dc53a">   41</a></span>&#160;    <span class="keywordtype">bool</span> <a class="code" href="classpFlow_1_1cfModels_1_1normalRolling.html#a2166bf008f0bcbf975cc66ade88dc53a">readNormalDict</a>(<span class="keyword">const</span> <a class="code" href="classpFlow_1_1dictionary.html">dictionary</a>&amp; dict)</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    {</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keyword">auto</span> mur = dict.<a class="code" href="classpFlow_1_1dictionary.html#a523bcff98ab38f3c5961e56eeb0b1d47">getVal</a>&lt;<a class="code" href="classpFlow_1_1Vector.html">realVector</a>&gt;(<span class="stringliteral">&quot;mur&quot;</span>);</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160; </div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <a class="code" href="namespacepFlow.html#abd01e8e67e3d94cab04ecaaf4f85ac1b">uint32</a> nMat;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160; </div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordflow">if</span>(!<a class="code" href="classpFlow_1_1symArray.html#aaa204e5a9810b8db8dd34cc29ee4c464">realSymArray_D::getN</a>(mur.size(),nMat) || nMat != this-&gt;numMaterial())</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        {</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;            <a class="code" href="error_8hpp.html#aca9aa547c8441e4410a65a2ce7c21554">fatalErrorInFunction</a>&lt;&lt;</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            <span class="stringliteral">&quot;wrong number of values supplied in mur. \n&quot;</span>;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        }</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160; </div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <a class="code" href="classpFlow_1_1cfModels_1_1normalRolling.html#a85ea430d13591441a957cff38b9c57a6">mur_</a>.<a class="code" href="classpFlow_1_1symArray.html#ac49828e84b4c929c15c813500e280005">assign</a>(mur);</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160; </div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">true</span>; </div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    }</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160; </div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160; </div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    <a class="code" href="classpFlow_1_1cfModels_1_1normalRolling.html#aeee112538820a87a21009a9b6427632d">TypeInfoNV</a>(<a class="code" href="namespacepFlow.html#a0ebe792a293e8c717bddf60070c0fe99">word</a>(<span class="stringliteral">&quot;normal&lt;&quot;</span>+contactForceModel::TYPENAME()+<span class="stringliteral">&quot;&gt;&quot;</span>));</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    </div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160; </div>
<div class="line"><a name="l00064"></a><span class="lineno"><a class="line" href="classpFlow_1_1cfModels_1_1normalRolling.html#a4df25d93b5e00f2289e0b9059c5e1d6f">   64</a></span>&#160;    <a class="code" href="classpFlow_1_1cfModels_1_1normalRolling.html#a4df25d93b5e00f2289e0b9059c5e1d6f">normalRolling</a>(<a class="code" href="namespacepFlow.html#aae6ad039f09c0676db11bd114136a3fa">int32</a> nMaterial, <span class="keyword">const</span> <a class="code" href="namespacepFlow.html#aeac3efd0f623f0010ce6daa6499d8ebe">ViewType1D&lt;real&gt;</a>&amp; rho, <span class="keyword">const</span> <a class="code" href="classpFlow_1_1dictionary.html">dictionary</a>&amp; dict)</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    :</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        contactForceModel(nMaterial, rho, dict),</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <a class="code" href="classpFlow_1_1cfModels_1_1normalRolling.html#a85ea430d13591441a957cff38b9c57a6">mur_</a>(<span class="stringliteral">&quot;mur&quot;</span>, nMaterial)</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    {</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">if</span>(!<a class="code" href="classpFlow_1_1cfModels_1_1normalRolling.html#a2166bf008f0bcbf975cc66ade88dc53a">readNormalDict</a>(dict))</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        {</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;            <a class="code" href="error_8hpp.html#aad22a1cd3b45a97ac8cd195f06fe61fe">fatalExit</a>;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        }</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    }</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160; </div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    <a class="code" href="pFlowMacros_8hpp.html#a8e2f73fa5c113f21c9c9edb67a974f5e">INLINE_FUNCTION_HD</a></div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classpFlow_1_1cfModels_1_1normalRolling.html#a6fa6d92009490d05002c276c65f6f022">rollingFriction</a></div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="classpFlow_1_1cfModels_1_1normalRolling.html#a6fa6d92009490d05002c276c65f6f022">   77</a></span>&#160;    (</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keyword">const</span> <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> dt,</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> <a class="code" href="namespacepFlow.html#abd01e8e67e3d94cab04ecaaf4f85ac1b">uint32</a> i,</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">const</span> <a class="code" href="namespacepFlow.html#abd01e8e67e3d94cab04ecaaf4f85ac1b">uint32</a> j,</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> <a class="code" href="namespacepFlow.html#abd01e8e67e3d94cab04ecaaf4f85ac1b">uint32</a> propId_i,</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keyword">const</span> <a class="code" href="namespacepFlow.html#abd01e8e67e3d94cab04ecaaf4f85ac1b">uint32</a> propId_j,</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">const</span> <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> Ri,</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keyword">const</span> <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> Rj,</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a>&amp; wi,</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a>&amp; wj,</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a>&amp; Nij,</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> <a class="code" href="classpFlow_1_1triple.html">realx3</a>&amp; FCn,</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <a class="code" href="classpFlow_1_1triple.html">realx3</a>&amp; Mri,</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <a class="code" href="classpFlow_1_1triple.html">realx3</a>&amp; Mrj</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    )<span class="keyword">const</span></div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    {</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160; </div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <a class="code" href="classpFlow_1_1triple.html">realx3</a> w_hat = wi-wj;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <a class="code" href="namespacepFlow.html#a6192191c0e9c178a44ee1ac350fde476">real</a> w_hat_mag = <a class="code" href="tripleFwd_8hpp.html#ae1449f1d56abab2ec4d0f00b685fc478">length</a>(w_hat);</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160; </div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">if</span>( !<a class="code" href="namespacepFlow.html#ac51b1f978c0296b63a19e0033906c25c">equal</a>(w_hat_mag,0.0) )</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            w_hat /= w_hat_mag;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;            w_hat = 0.0;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160; </div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">auto</span> Reff = (Ri*Rj)/(Ri+Rj);</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160; </div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        Mri = ( -<a class="code" href="classpFlow_1_1cfModels_1_1normalRolling.html#a85ea430d13591441a957cff38b9c57a6">mur_</a>(propId_i,propId_j) *<a class="code" href="tripleFwd_8hpp.html#ae1449f1d56abab2ec4d0f00b685fc478">length</a>(FCn) * Reff ) * w_hat ;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;       </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="comment">//removing the normal part </span></div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="comment">// Mri = Mri - ( (Mri .dot. nij)*nij )</span></div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160; </div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        Mrj = -Mri;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    }</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160; </div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160; </div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;};</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160; </div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;}</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160; </div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="preprocessor">#endif </span></div>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<div class="ttc" id="aclasspFlow_1_1cfModels_1_1normalRolling_html_a6fa6d92009490d05002c276c65f6f022"><div class="ttname"><a href="classpFlow_1_1cfModels_1_1normalRolling.html#a6fa6d92009490d05002c276c65f6f022">pFlow::cfModels::normalRolling::rollingFriction</a></div><div class="ttdeci">INLINE_FUNCTION_HD void rollingFriction(const real dt, const uint32 i, const uint32 j, const uint32 propId_i, const uint32 propId_j, const real Ri, const real Rj, const realx3 &amp;wi, const realx3 &amp;wj, const realx3 &amp;Nij, const realx3 &amp;FCn, realx3 &amp;Mri, realx3 &amp;Mrj) const</div><div class="ttdef"><b>Definition:</b> <a href="normalRolling_8hpp_source.html#l00077">normalRolling.hpp:77</a></div></div>
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<div class="ttc" id="anamespacepFlow_html_abd01e8e67e3d94cab04ecaaf4f85ac1b"><div class="ttname"><a href="namespacepFlow.html#abd01e8e67e3d94cab04ecaaf4f85ac1b">pFlow::uint32</a></div><div class="ttdeci">unsigned int uint32</div><div class="ttdef"><b>Definition:</b> <a href="builtinTypes_8hpp_source.html#l00056">builtinTypes.hpp:56</a></div></div>
<div class="ttc" id="anamespacepFlow_html_a0ebe792a293e8c717bddf60070c0fe99"><div class="ttname"><a href="namespacepFlow.html#a0ebe792a293e8c717bddf60070c0fe99">pFlow::word</a></div><div class="ttdeci">std::string word</div><div class="ttdef"><b>Definition:</b> <a href="builtinTypes_8hpp_source.html#l00064">builtinTypes.hpp:64</a></div></div>
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<div class="ttc" id="aclasspFlow_1_1cfModels_1_1normalRolling_html_aeee112538820a87a21009a9b6427632d"><div class="ttname"><a href="classpFlow_1_1cfModels_1_1normalRolling.html#aeee112538820a87a21009a9b6427632d">pFlow::cfModels::normalRolling::TypeInfoNV</a></div><div class="ttdeci">TypeInfoNV(word(&quot;normal&lt;&quot;+contactForceModel::TYPENAME()+&quot;&gt;&quot;))</div></div>
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<div class="ttc" id="aerror_8hpp_html_aca9aa547c8441e4410a65a2ce7c21554"><div class="ttname"><a href="error_8hpp.html#aca9aa547c8441e4410a65a2ce7c21554">fatalErrorInFunction</a></div><div class="ttdeci">#define fatalErrorInFunction</div><div class="ttdoc">Report a fatal error and function name and exit the application.</div><div class="ttdef"><b>Definition:</b> <a href="error_8hpp_source.html#l00077">error.hpp:77</a></div></div>
<div class="ttc" id="atripleFwd_8hpp_html_ae1449f1d56abab2ec4d0f00b685fc478"><div class="ttname"><a href="tripleFwd_8hpp.html#ae1449f1d56abab2ec4d0f00b685fc478">length</a></div><div class="ttdeci">INLINE_FUNCTION_HD T length(const triple&lt; T &gt; &amp;v1)</div></div>
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<div class="ttc" id="anamespacepFlow_html_aeac3efd0f623f0010ce6daa6499d8ebe"><div class="ttname"><a href="namespacepFlow.html#aeac3efd0f623f0010ce6daa6499d8ebe">pFlow::ViewType1D</a></div><div class="ttdeci">Kokkos::View&lt; T *, properties... &gt; ViewType1D</div><div class="ttdoc">1D veiw as a vector</div><div class="ttdef"><b>Definition:</b> <a href="KokkosTypes_8hpp_source.html#l00093">KokkosTypes.hpp:93</a></div></div>
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<div class="ttc" id="aclasspFlow_1_1cfModels_1_1normalRolling_html_a85ea430d13591441a957cff38b9c57a6"><div class="ttname"><a href="classpFlow_1_1cfModels_1_1normalRolling.html#a85ea430d13591441a957cff38b9c57a6">pFlow::cfModels::normalRolling::mur_</a></div><div class="ttdeci">realSymArray_D mur_</div><div class="ttdef"><b>Definition:</b> <a href="normalRolling_8hpp_source.html#l00039">normalRolling.hpp:39</a></div></div>
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<div class="ttc" id="aclasspFlow_1_1triple_html"><div class="ttname"><a href="classpFlow_1_1triple.html">pFlow::triple&lt; real &gt;</a></div></div>
<div class="ttc" id="aclasspFlow_1_1Vector_html"><div class="ttname"><a href="classpFlow_1_1Vector.html">pFlow::Vector&lt; real &gt;</a></div></div>
<div class="ttc" id="aclasspFlow_1_1symArray_html"><div class="ttname"><a href="classpFlow_1_1symArray.html">pFlow::symArray&lt; real &gt;</a></div></div>
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<div class="ttc" id="aclasspFlow_1_1dictionary_html"><div class="ttname"><a href="classpFlow_1_1dictionary.html">pFlow::dictionary</a></div><div class="ttdoc">Dictionary holds a set of data entries or sub-dictionaries that are enclosed in a curely braces or ar...</div><div class="ttdef"><b>Definition:</b> <a href="dictionary_8hpp_source.html#l00067">dictionary.hpp:67</a></div></div>
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