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  <div class="section" id="additional-example-applications-of-csas6">
<span id="csas6app"></span><h1>Additional Example Applications of CSAS6<a class="headerlink" href="#additional-example-applications-of-csas6" title="Permalink to this headline"></a></h1>
<p>Several example uses of CSAS6 are shown in this section for a variety of applications.</p>
<div class="section" id="run-keno-vi-using-csas6">
<span id="run-keno-csas6"></span><h2>Run KENO-VI using CSAS6<a class="headerlink" href="#run-keno-vi-using-csas6" title="Permalink to this headline"></a></h2>
<p>CSAS6 creates a microscopic working format library and a mixing table
that is passed to KENO-VI. The library is created using
CENTRM/PMC/WORKER to process the cross section data in the resolved
resonance regions of the isotopes contained in the library. CSAS6 then
executes KENO-VI, which calculates <em>k</em><sub>eff</sub> for the problem. The
following examples are for using the multigroup mode of calculation for
KENO-VI. Using the continuous energy mode can be accomplished by simply
changing the library name to one of the continuous energy libraries.</p>
<p>EXAMPLE 1. CSAS6 – Determine the <em>k</em><sub>eff</sub> of a system.</p>
<p>Consider a problem consisting of eight uranium metal cylinders that are
93.2% wt enriched, having a density of 18.76 g/cm<sup>3</sup>. The
cylinders are arranged in a 2 × 2 × 2 array. Each has a radius of
5.748 cm and a height of 10.765 cm. The center-to-center spacing in the
horizontal (X-Y) plane is 13.74 cm and the vertical center-to-center
spacing is 13.01 cm. Because the cross section processing will be done
assuming an infinite homogeneous medium and no cell mixtures are used,
there is no unit cell data. The input data for this problem follow.</p>
<div class="highlight-scale notranslate"><div class="highlight"><pre><span></span><span class="nf">=CSAS6</span>
<span class="err">SET</span> <span class="err">UP</span> <span class="m">2</span><span class="err">C</span><span class="m">8</span> <span class="err">IN</span> <span class="err">CSAS</span><span class="m">6</span>
<span class="err">V</span><span class="m">7</span><span class="err">-</span><span class="m">238</span>
<span class="err">READ</span> <span class="err">COMP</span>
<span class="err">URANIUM</span>  <span class="m">1</span> <span class="err">DEN=</span><span class="m">18</span><span class="err">.</span><span class="m">76</span> <span class="m">1</span> <span class="m">293</span>  <span class="m">92235</span> <span class="m">93</span><span class="err">.</span><span class="m">2</span> <span class="m">92238</span> <span class="m">5</span><span class="err">.</span><span class="m">6</span> <span class="m">92234</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">92236</span> <span class="m">0</span><span class="err">.</span><span class="m">2</span> <span class="err">END</span>
<span class="err">END</span> <span class="err">COMP</span>
<span class="err">READ</span> <span class="err">PARAMETERS</span>  <span class="err">FLX=YES</span> <span class="err">FDN=YES</span> <span class="err">FAR=YES</span>  <span class="err">END</span> <span class="err">PARAMETERS</span>
<span class="err">READ</span> <span class="err">GEOMETRY</span>
<span class="err">UNIT</span> <span class="m">1</span>
<span class="err">CYLINDER</span> <span class="m">10</span>  <span class="m">5</span><span class="err">.</span><span class="m">748</span> <span class="m">5</span><span class="err">.</span><span class="m">3825</span> <span class="err">-</span><span class="m">5</span><span class="err">.</span><span class="m">3825</span>
<span class="err">CUBOID</span>   <span class="m">20</span>  <span class="m">6</span><span class="err">.</span><span class="m">87</span> <span class="err">-</span><span class="m">6</span><span class="err">.</span><span class="m">87</span> <span class="m">6</span><span class="err">.</span><span class="m">87</span> <span class="err">-</span><span class="m">6</span><span class="err">.</span><span class="m">87</span> <span class="m">6</span><span class="err">.</span><span class="m">505</span> <span class="err">-</span><span class="m">6</span><span class="err">.</span><span class="m">505</span>
<span class="err">MEDIA</span> <span class="m">1</span> <span class="m">1</span> <span class="m">10</span>
<span class="err">MEDIA</span> <span class="m">0</span> <span class="m">1</span> <span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">BOUNDARY</span> <span class="m">20</span>
<span class="err">GLOBAL</span> <span class="err">UNIT</span> <span class="m">2</span>
<span class="err">CUBOID</span> <span class="m">10</span> <span class="m">4</span><span class="err">P</span><span class="m">13</span><span class="err">.</span><span class="m">74</span>   <span class="m">2</span><span class="err">P</span><span class="m">13</span><span class="err">.</span><span class="m">010</span>
<span class="err">ARRAY</span>  <span class="m">1</span>  <span class="m">10</span>  <span class="err">PLACE</span> <span class="m">1</span> <span class="m">1</span> <span class="m">1</span> <span class="err">-</span><span class="m">6</span><span class="err">.</span><span class="m">87</span> <span class="err">-</span><span class="m">6</span><span class="err">.</span><span class="m">87</span> <span class="err">-</span><span class="m">6</span><span class="err">.</span><span class="m">505</span>
<span class="err">BOUNDARY</span> <span class="m">10</span>
<span class="err">END</span> <span class="err">GEOMETRY</span>
<span class="err">READ</span> <span class="err">ARRAY</span>
<span class="err">GBL=</span><span class="m">1</span> <span class="err">ARA=</span><span class="m">1</span> <span class="err">NUX=</span><span class="m">2</span> <span class="err">NUY=</span><span class="m">2</span> <span class="err">NUZ=</span><span class="m">2</span>  <span class="err">FILL</span>  <span class="err">F</span><span class="m">1</span> <span class="err">END</span> <span class="err">FILL</span>
<span class="err">END</span> <span class="err">ARRAY</span>
<span class="err">END</span> <span class="err">DATA</span>
<span class="err">END</span>
</pre></div>
</div>
<p>EXAMPLE 2. CSAS6 – Determine the <em>k</em><sub>eff</sub> of an array of fuel pellets in
a UO<sub>2</sub>F<sub>2</sub> solution.</p>
<p>Consider a 60 cm inside diameter cylindrical tank filled with
5.0%-enriched UO<sub>2</sub> fuel rods and 5.0%‑enriched
UO<sub>2</sub>F<sub>2</sub> solution at 295 gm/liter. A 51 × 51 × 1 array
of fuel rods is centered on the bottom of the tank. The fuel rods are
366 cm long, 0.45 cm in radius, clad with 0.01-cm-thick Al, and at a
pitch of 1.5 cm. The fuel rods sit on the bottom of the container and
the container and solution rise 5.0 cm above the top of the rods. The
container is 10 cm thick in the side and bottom and open at the top.
Determine the <em>k</em><sub>eff</sub> of the system. Input data for this problem
follow.</p>
<div class="highlight-scale notranslate"><div class="highlight"><pre><span></span><span class="nf">=CSAS6</span>
<span class="err">UO</span><span class="m">2</span> <span class="err">pins</span> <span class="err">in</span> <span class="err">a</span> <span class="err">UO</span><span class="m">2</span><span class="err">F</span><span class="m">2</span> <span class="err">solution</span>
<span class="err">V</span><span class="m">7</span><span class="err">-</span><span class="m">238</span>
<span class="err">READ</span> <span class="err">COMP</span>
<span class="err">UO</span><span class="m">2</span>       <span class="m">1</span> <span class="m">0</span><span class="err">.</span><span class="m">95</span> <span class="m">300</span> <span class="m">92235</span> <span class="m">5</span><span class="err">.</span><span class="m">0</span> <span class="m">92238</span> <span class="m">95</span><span class="err">.</span><span class="m">0</span> <span class="err">END</span>
<span class="err">AL</span>        <span class="m">2</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span>  <span class="m">300</span> <span class="err">END</span>
<span class="err">SOLNUO</span><span class="m">2</span><span class="err">F</span><span class="m">2</span> <span class="m">3</span> <span class="m">295</span> <span class="m">0</span><span class="err">.</span><span class="m">0</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">300</span> <span class="m">92235</span> <span class="m">5</span><span class="err">.</span><span class="m">0</span> <span class="m">92238</span> <span class="m">95</span><span class="err">.</span><span class="m">0</span> <span class="err">END</span>
<span class="err">AL</span>        <span class="m">4</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span>  <span class="m">300</span> <span class="err">END</span>
<span class="err">SOLNUO</span><span class="m">2</span><span class="err">F</span><span class="m">2</span> <span class="m">5</span> <span class="m">295</span> <span class="m">0</span><span class="err">.</span><span class="m">0</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">300</span> <span class="m">92235</span> <span class="m">5</span><span class="err">.</span><span class="m">0</span> <span class="m">92238</span> <span class="m">95</span><span class="err">.</span><span class="m">0</span> <span class="err">END</span>
<span class="err">END</span> <span class="err">COMP</span>
<span class="err">READ</span> <span class="err">CELLDATA</span>
<span class="err">LATTICECELL</span> <span class="err">SQUAREPITCH</span> <span class="err">PITCH=</span><span class="m">1</span><span class="err">.</span><span class="m">50</span> <span class="m">3</span> <span class="err">FUELD=</span><span class="m">0</span><span class="err">.</span><span class="m">9</span>  <span class="m">1</span> <span class="err">CLADD=</span><span class="m">0</span><span class="err">.</span><span class="m">94</span> <span class="m">2</span> <span class="err">END</span>
<span class="err">END</span> <span class="err">CELLDATA</span>
<span class="err">READ</span> <span class="err">GEOM</span>
<span class="err">UNIT</span>  <span class="m">1</span>
<span class="err">COM=</span><span class="s">&#39;FUEL PIN&#39;</span>
<span class="err">CYLINDER</span> <span class="m">10</span>  <span class="m">0</span><span class="err">.</span><span class="m">45</span>  <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">0</span>
<span class="err">CYLINDER</span> <span class="m">20</span>  <span class="m">0</span><span class="err">.</span><span class="m">47</span> <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">1</span>
<span class="err">CUBOID</span>     <span class="m">30</span>  <span class="m">4</span><span class="err">P</span><span class="m">0</span><span class="err">.</span><span class="m">75</span> <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">1</span>
<span class="err">MEDIA</span> <span class="m">1</span> <span class="m">1</span> <span class="m">10</span>
<span class="err">MEDIA</span> <span class="m">2</span> <span class="m">1</span> <span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">MEDIA</span> <span class="m">3</span> <span class="m">1</span> <span class="m">30</span> <span class="err">-</span><span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">BOUNDARY</span> <span class="m">30</span>
<span class="err">GLOBAL</span> <span class="err">UNIT</span>  <span class="m">2</span>
<span class="err">COM=</span><span class="s">&#39;FUEL PINS AND SOLUTION IN TANK&#39;</span>
<span class="err">CUBOID</span>    <span class="m">10</span>  <span class="m">4</span><span class="err">p</span><span class="m">38</span><span class="err">.</span><span class="m">25</span>  <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">1</span>
<span class="err">CYLINDER</span>  <span class="m">20</span>  <span class="m">60</span><span class="err">.</span><span class="m">0</span>  <span class="m">188</span><span class="err">.</span><span class="m">1</span> <span class="err">-</span><span class="m">183</span><span class="err">.</span><span class="m">1</span>
<span class="err">CYLINDER</span>  <span class="m">30</span>  <span class="m">70</span><span class="err">.</span><span class="m">0</span>  <span class="m">188</span><span class="err">.</span><span class="m">1</span> <span class="err">-</span><span class="m">193</span><span class="err">.</span><span class="m">1</span>
<span class="err">ARRAY</span>  <span class="m">1</span>  <span class="m">10</span>  <span class="err">PLACE</span> <span class="m">26</span> <span class="m">26</span> <span class="m">1</span> <span class="m">3</span><span class="err">*</span><span class="m">0</span><span class="err">.</span><span class="m">0</span>
<span class="err">MEDIA</span>  <span class="m">5</span>  <span class="m">1</span>  <span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">MEDIA</span>  <span class="m">4</span>  <span class="m">1</span>  <span class="m">30</span> <span class="err">-</span><span class="m">20</span>
<span class="err">BOUNDARY</span>  <span class="m">30</span>
<span class="err">END</span> <span class="err">GEOM</span>
<span class="err">READ</span> <span class="err">ARRAY</span>
<span class="err">ARA=</span><span class="m">1</span> <span class="err">NUX=</span><span class="m">51</span> <span class="err">NUY=</span><span class="m">51</span> <span class="err">NUZ=</span><span class="m">1</span> <span class="err">FILL</span> <span class="err">F</span><span class="m">1</span> <span class="err">END</span> <span class="err">FILL</span>
<span class="err">END</span> <span class="err">ARRAY</span>
<span class="err">END</span> <span class="err">DATA</span>
<span class="err">END</span>
</pre></div>
</div>
</div>
<div class="section" id="run-keno-vi-containing-cell-weighted-mixtures">
<h2>Run KENO-VI containing cell-weighted mixtures<a class="headerlink" href="#run-keno-vi-containing-cell-weighted-mixtures" title="Permalink to this headline"></a></h2>
<p>CSAS6 creates a microscopic working format library and a mixing table
that is passed to KENO-VI. The microscopic cross sections of the
nuclides used in the unit cell geometry description are cell‑weighted by
specifying CELLMIX= followed by a unique mixture number. This mixture
number utilizes the cell-weighted cross sections that represent the
heterogeneous system. CSAS6 executes KENO-VI and calculates <em>k</em><sub>eff</sub> for
the problem.</p>
<p>EXAMPLE 1. CSAS6 – Calculate the <em>k</em><sub>eff</sub> of an array of fuel assemblies
using cell-weighted cross sections.</p>
<p>Consider the 4 × 4 × 1 array of fuel assemblies in a square aluminum
cask described in Sect. 2.2.A.1.1, Example 2. Calculate the <em>k</em><sub>eff</sub> of
the system by using the cell-weighted mixture 200 to represent the fuel
pins in the fuel assembly. Note that mixtures 1, 2, and 3, representing
UO<sub>2</sub>, zirconium, and water, respectively, are used in the unit
cell description. Cell-weighting is applied to the microscopic
cross sections that are used in the cell, making them incorrect for use
elsewhere. Because water is used both inside the cell and between the
fuel assemblies, an additional mixture, mixture 6, has been added to
represent the water between the fuel assemblies. The input data for this
problem follow.</p>
<div class="highlight-scale notranslate"><div class="highlight"><pre><span></span><span class="nf">=CSAS6</span>
<span class="err">SQUARE</span> <span class="err">FUEL</span> <span class="err">CASK</span> <span class="err">EXAMPLE</span> <span class="err">USING</span> <span class="err">HOMOGENEOUS</span> <span class="err">MOCKUP</span>
<span class="err">V</span><span class="m">7</span><span class="err">-</span><span class="m">238</span>
<span class="err">READ</span> <span class="err">COMP</span>
<span class="err">UO</span><span class="m">2</span>  <span class="m">1</span> <span class="err">DEN=</span><span class="m">9</span><span class="err">.</span><span class="m">21</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">293</span><span class="err">.</span> <span class="m">92235</span> <span class="m">2</span><span class="err">.</span><span class="m">35</span> <span class="m">92238</span> <span class="m">97</span><span class="err">.</span><span class="m">65</span> <span class="err">END</span>
<span class="err">ZR</span>   <span class="m">2</span> <span class="m">1</span> <span class="err">END</span>
<span class="err">H</span><span class="m">2</span><span class="err">O</span>  <span class="m">3</span> <span class="m">1</span> <span class="err">END</span>
<span class="err">B</span><span class="m">4</span><span class="err">C</span>  <span class="m">4</span> <span class="m">0</span><span class="err">.</span><span class="m">367</span> <span class="err">END</span>
<span class="err">AL</span>   <span class="m">4</span> <span class="m">0</span><span class="err">.</span><span class="m">636</span> <span class="err">END</span>
<span class="err">AL</span>   <span class="m">5</span> <span class="m">1</span> <span class="err">END</span>
<span class="err">H</span><span class="m">2</span><span class="err">O</span>  <span class="m">6</span> <span class="m">1</span> <span class="err">END</span>
<span class="err">END</span> <span class="err">COMP</span>
<span class="err">READ</span> <span class="err">CELLDATA</span>
<span class="err">LATTICECELL</span> <span class="err">SQUAREPITCH</span> <span class="err">PITCH=</span><span class="m">1</span><span class="err">.</span><span class="m">3</span> <span class="m">3</span> <span class="err">FUELD=</span><span class="m">0</span><span class="err">.</span><span class="m">8</span> <span class="m">1</span> <span class="err">CLADD=</span><span class="m">0</span><span class="err">.</span><span class="m">94</span> <span class="m">2</span> <span class="err">CELLMIX=</span><span class="m">200</span> <span class="err">END</span>
<span class="err">END</span> <span class="err">CELLDATA</span>
<span class="err">READ</span> <span class="err">PARAM</span>  <span class="err">FAR=YES</span> <span class="err">GEN=</span><span class="m">253</span> <span class="err">END</span> <span class="err">PARAM</span>
<span class="err">READ</span> <span class="err">GEOM</span>
<span class="err">UNIT</span>  <span class="m">2</span>
<span class="err">COM=</span><span class="s">&#39;FUEL ASSEMBLY&#39;</span>
<span class="err">CUBOID</span>  <span class="m">10</span> <span class="m">4</span><span class="err">P</span><span class="m">11</span><span class="err">.</span><span class="m">05</span>  <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">07</span>
<span class="err">CUBOID</span>  <span class="m">20</span> <span class="m">4</span><span class="err">P</span><span class="m">11</span><span class="err">.</span><span class="m">70</span>  <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">72</span>
<span class="err">CUBOID</span>  <span class="m">30</span> <span class="m">4</span><span class="err">P</span><span class="m">12</span><span class="err">.</span><span class="m">20</span>  <span class="m">2</span><span class="err">P</span><span class="m">184</span><span class="err">.</span><span class="m">22</span>
<span class="err">MEDIA</span>  <span class="m">200</span>  <span class="m">1</span>  <span class="m">10</span>
<span class="err">MEDIA</span>  <span class="m">4</span>  <span class="m">1</span>  <span class="m">20</span>  <span class="err">-</span><span class="m">10</span>
<span class="err">MEDIA</span>  <span class="m">6</span>  <span class="m">1</span>  <span class="m">30</span>  <span class="err">-</span><span class="m">20</span>  <span class="err">-</span><span class="m">10</span>
<span class="err">BOUNDARY</span>  <span class="m">30</span>
<span class="err">GLOBAL</span>  <span class="err">UNIT</span> <span class="m">3</span>
<span class="err">COM=</span><span class="s">&#39;FUEL CASK CONTAINING 4X4 ARRAY OF ASSEMBLIES&#39;</span>
<span class="err">CUBOID</span>  <span class="m">10</span>  <span class="m">4</span><span class="err">P</span><span class="m">48</span><span class="err">.</span><span class="m">8</span>  <span class="m">2</span><span class="err">P</span><span class="m">184</span><span class="err">.</span><span class="m">22</span>
<span class="err">CUBOID</span>  <span class="m">20</span>  <span class="m">4</span><span class="err">P</span><span class="m">58</span><span class="err">.</span><span class="m">8</span>  <span class="m">2</span><span class="err">P</span><span class="m">194</span><span class="err">.</span><span class="m">22</span>
<span class="err">ARRAY</span>  <span class="m">1</span> <span class="m">10</span>  <span class="err">PLACE</span> <span class="m">1</span> <span class="m">1</span> <span class="m">1</span> <span class="err">-</span><span class="m">36</span><span class="err">.</span><span class="m">6</span> <span class="err">-</span><span class="m">36</span><span class="err">.</span><span class="m">6</span> <span class="m">0</span><span class="err">.</span><span class="m">0</span>
<span class="err">MEDIA</span>  <span class="m">5</span>  <span class="m">1</span>  <span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">BOUNDARY</span>  <span class="m">20</span>
<span class="err">END</span> <span class="err">GEOM</span>
<span class="err">READ</span> <span class="err">ARRAY</span>
<span class="err">ARA=</span><span class="m">1</span> <span class="err">NUX=</span><span class="m">4</span> <span class="err">NUY=</span><span class="m">4</span> <span class="err">NUZ=</span><span class="m">1</span> <span class="err">FILL</span> <span class="err">F</span><span class="m">2</span> <span class="err">END</span> <span class="err">FILL</span>
<span class="err">END</span> <span class="err">ARRAY</span>
<span class="err">END</span> <span class="err">DATA</span>
<span class="err">END</span>
</pre></div>
</div>
<p>EXAMPLE 2. CSAS6 – Determine the <em>k</em><sub>eff</sub> of an array of fuel pellets in
a UO<sub>2</sub>F<sub>2</sub> solution using cell‑weighted cross sections.</p>
<p>This is the same problem as described in <a class="reference internal" href="#run-keno-csas6"><span class="std std-ref">Run KENO-VI using CSAS6</span></a> Example 2.
However, the rods and solutions have been replaced with a cell-weighted
mixture 50. Determine the <em>k</em><sub>eff</sub> of the container. Input data for this
problem follow.</p>
<div class="highlight-scale notranslate"><div class="highlight"><pre><span></span><span class="nf">=CSAS6</span>
<span class="err">UO</span><span class="m">2</span> <span class="err">pins</span> <span class="err">in</span> <span class="err">a</span> <span class="err">UO</span><span class="m">2</span><span class="err">F</span><span class="m">2</span> <span class="err">solution,</span> <span class="err">cell-weighted</span> <span class="err">mixture</span>
<span class="err">V</span><span class="m">7</span><span class="err">-</span><span class="m">238</span>
<span class="err">READ</span> <span class="err">COMP</span>
<span class="err">UO</span><span class="m">2</span>       <span class="m">1</span> <span class="m">0</span><span class="err">.</span><span class="m">95</span> <span class="m">300</span> <span class="m">92235</span> <span class="m">5</span><span class="err">.</span><span class="m">0</span> <span class="m">92238</span> <span class="m">95</span><span class="err">.</span><span class="m">0</span> <span class="err">END</span>
<span class="err">AL</span>        <span class="m">2</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span>  <span class="m">300</span> <span class="err">END</span>
<span class="err">SOLNUO</span><span class="m">2</span><span class="err">F</span><span class="m">2</span> <span class="m">3</span> <span class="m">295</span> <span class="m">0</span><span class="err">.</span><span class="m">0</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">300</span> <span class="m">92235</span> <span class="m">5</span><span class="err">.</span><span class="m">0</span> <span class="m">92238</span> <span class="m">95</span><span class="err">.</span><span class="m">0</span> <span class="err">END</span>
<span class="err">AL</span>        <span class="m">4</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span>  <span class="m">300</span> <span class="err">END</span>
<span class="err">SOLNUO</span><span class="m">2</span><span class="err">F</span><span class="m">2</span> <span class="m">5</span> <span class="m">295</span> <span class="m">0</span><span class="err">.</span><span class="m">0</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">300</span> <span class="m">92235</span> <span class="m">5</span><span class="err">.</span><span class="m">0</span> <span class="m">92238</span> <span class="m">95</span><span class="err">.</span><span class="m">0</span> <span class="err">END</span>
<span class="err">END</span> <span class="err">COMP</span>
<span class="err">READ</span> <span class="err">CELLDATA</span>
<span class="err">LATTICECELL</span> <span class="err">SQUAREPITCH</span> <span class="err">PITCH=</span><span class="m">1</span><span class="err">.</span><span class="m">50</span> <span class="m">3</span> <span class="err">FUELD=</span><span class="m">0</span><span class="err">.</span><span class="m">9</span> <span class="m">1</span> <span class="err">CLADD=</span><span class="m">0</span><span class="err">.</span><span class="m">94</span> <span class="m">2</span> <span class="err">CELLMIX=</span><span class="m">50</span> <span class="err">END</span>
<span class="err">END</span> <span class="err">CELLDATA</span>
<span class="err">READ</span> <span class="err">GEOM</span>
<span class="err">GLOBAL</span> <span class="err">UNIT</span>  <span class="m">2</span>
<span class="err">COM=</span><span class="s">&#39;FUEL PINS AND SOLUTION IN TANK&#39;</span>
<span class="err">CUBOID</span>    <span class="m">10</span>  <span class="m">4</span><span class="err">p</span><span class="m">38</span><span class="err">.</span><span class="m">25</span>  <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">1</span>
<span class="err">CYLINDER</span>  <span class="m">20</span>  <span class="m">60</span><span class="err">.</span><span class="m">0</span>  <span class="m">188</span><span class="err">.</span><span class="m">1</span> <span class="err">-</span><span class="m">183</span><span class="err">.</span><span class="m">1</span>
<span class="err">CYLINDER</span>  <span class="m">30</span>  <span class="m">70</span><span class="err">.</span><span class="m">0</span>  <span class="m">188</span><span class="err">.</span><span class="m">1</span> <span class="err">-</span><span class="m">193</span><span class="err">.</span><span class="m">1</span>
<span class="err">MEDIA</span> <span class="m">50</span>  <span class="m">1</span>  <span class="m">10</span>
<span class="err">MEDIA</span>  <span class="m">5</span>  <span class="m">1</span>  <span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">MEDIA</span>  <span class="m">4</span>  <span class="m">1</span>  <span class="m">30</span> <span class="err">-</span><span class="m">20</span>
<span class="err">BOUNDARY</span>  <span class="m">30</span>
<span class="err">END</span> <span class="err">GEOM</span>
<span class="err">END</span> <span class="err">DATA</span>
<span class="err">END</span>
</pre></div>
</div>
</div>
<div class="section" id="run-keno-vi-containing-multiple-unit-cells">
<h2>Run KENO-VI containing multiple unit cells<a class="headerlink" href="#run-keno-vi-containing-multiple-unit-cells" title="Permalink to this headline"></a></h2>
<p>CSAS6 can create a microscopic working format library and a mixing table
that contains more than one unit cell. Each unit cell is explicitly
defined in the CELLDATA section of the standard composition data.
Materials may appear in only one unit cell. All materials in the
standard composition that are not contained in a unit cell are processed
assuming infinite homogeneous media. CSAS6 passes the created working
library to KENO-VI which calculates <em>k</em><sub>eff</sub> for the problem.</p>
<p>EXAMPLE 1. CSAS6 – Calculate the <em>k</em><sub>eff</sub> of a system using two unit
cell descriptions.</p>
<p>Consider an infinite XY-array composed of two types of fuel assemblies
in a checkerboard pattern moderated by water. Each assembly consists of
a 17 × 17 × 1 array of zirconium-clad, enriched UO<sub>2</sub> fuel pins
in a square pitched array. In one array the uranium is 3.5%-enriched and
in the other array the uranium is 2.9%-enriched. The UO<sub>2</sub> has a
density of 9.21 g/cm<sup>3</sup>. The pin diameter is 0.8 cm and is 366 cm
long. The clad is 0.07 cm thick, and the pitch is 1.3 cm. Each fuel
bundle is contained in a 0.65-cm-thick Boral sheath. The bundles are
separated by an edge-to-edge spacing of 1.0 cm. The water and zirconium
is input in the standard composition data once for every unit cell in
which it appears because a material may appear in only one unit cell.
Determine the <em>k</em><sub>eff</sub> of the infinite array. Note that periodic
boundary conditions are required to obtain an infinite checkerboard
array. Input data for this problem follow.</p>
<div class="highlight-scale notranslate"><div class="highlight"><pre><span></span><span class="nf">=CSAS6</span>
<span class="m">2</span> <span class="err">SQUARE</span> <span class="err">FUEL</span> <span class="err">ASSEMBLIES</span> <span class="err">EXAMPLE</span> <span class="err">IN</span> <span class="err">AN</span> <span class="err">INFINITE</span> <span class="err">LATTICE</span> <span class="err">OF</span> <span class="err">ASSEMBLIES</span>
<span class="err">V</span><span class="m">7</span><span class="err">-</span><span class="m">238</span>
<span class="err">READ</span> <span class="err">COMP</span>
<span class="err">UO</span><span class="m">2</span>  <span class="m">1</span>  <span class="err">DEN=</span><span class="m">9</span><span class="err">.</span><span class="m">21</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">293</span><span class="err">.</span> <span class="m">92235</span> <span class="m">3</span><span class="err">.</span><span class="m">5</span> <span class="m">92238</span> <span class="m">96</span><span class="err">.</span><span class="m">5</span> <span class="err">END</span>
<span class="err">ZR</span>   <span class="m">2</span>  <span class="m">1</span> <span class="err">END</span>
<span class="err">H</span><span class="m">2</span><span class="err">O</span>  <span class="m">3</span>  <span class="m">1</span> <span class="err">END</span>
<span class="err">UO</span><span class="m">2</span>  <span class="m">4</span>  <span class="err">DEN=</span><span class="m">9</span><span class="err">.</span><span class="m">21</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">293</span><span class="err">.</span> <span class="m">92235</span> <span class="m">2</span><span class="err">.</span><span class="m">9</span> <span class="m">92238</span> <span class="m">97</span><span class="err">.</span><span class="m">1</span> <span class="err">END</span>
<span class="err">ZR</span>   <span class="m">5</span>  <span class="m">1</span> <span class="err">END</span>
<span class="err">H</span><span class="m">2</span><span class="err">O</span>  <span class="m">6</span>  <span class="m">1</span> <span class="err">END</span>
<span class="err">B</span><span class="m">4</span><span class="err">C</span>  <span class="m">7</span>  <span class="m">0</span><span class="err">.</span><span class="m">367</span> <span class="err">END</span>
<span class="err">AL</span>   <span class="m">7</span>  <span class="m">0</span><span class="err">.</span><span class="m">636</span> <span class="err">END</span>
<span class="err">END</span> <span class="err">COMP</span>
<span class="err">READ</span> <span class="err">CELLDATA</span>
<span class="err">LATTICECELL</span> <span class="err">SQUAREPITCH</span> <span class="err">PITCH=</span><span class="m">1</span><span class="err">.</span><span class="m">3</span> <span class="m">3</span> <span class="err">FUELD=</span><span class="m">0</span><span class="err">.</span><span class="m">8</span> <span class="m">1</span> <span class="err">CLADD=</span><span class="m">0</span><span class="err">.</span><span class="m">94</span> <span class="m">2</span> <span class="err">END</span>
<span class="err">LATTICECELL</span> <span class="err">SQUAREPITCH</span> <span class="err">PITCH=</span><span class="m">1</span><span class="err">.</span><span class="m">3</span> <span class="m">6</span> <span class="err">FUELD=</span><span class="m">0</span><span class="err">.</span><span class="m">8</span> <span class="m">4</span> <span class="err">CLADD=</span><span class="m">0</span><span class="err">.</span><span class="m">94</span> <span class="m">5</span> <span class="err">END</span>
<span class="err">END</span> <span class="err">CELLDATA</span>
<span class="err">READ</span> <span class="err">PARAM</span> <span class="err">FAR=YES</span> <span class="err">GEN=</span><span class="m">253</span> <span class="err">END</span> <span class="err">PARAM</span>
<span class="err">READ</span> <span class="err">GEOM</span>
<span class="err">UNIT</span>  <span class="m">1</span>
<span class="err">COM=</span><span class="s">&#39;3.5 W% FUEL PIN&#39;</span>
<span class="err">CYLINDER</span> <span class="m">10</span>  <span class="m">0</span><span class="err">.</span><span class="m">4</span>  <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">0</span>
<span class="err">CYLINDER</span> <span class="m">20</span>  <span class="m">0</span><span class="err">.</span><span class="m">47</span> <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">07</span>
<span class="err">CUBOID</span>   <span class="m">30</span>  <span class="m">4</span><span class="err">P</span><span class="m">0</span><span class="err">.</span><span class="m">65</span> <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">07</span>
<span class="err">MEDIA</span> <span class="m">1</span> <span class="m">1</span> <span class="m">10</span>
<span class="err">MEDIA</span> <span class="m">2</span> <span class="m">1</span> <span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">MEDIA</span> <span class="m">3</span> <span class="m">1</span> <span class="m">30</span> <span class="err">-</span><span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">BOUNDARY</span> <span class="m">30</span>
<span class="err">UNIT</span>  <span class="m">2</span>
<span class="err">COM=</span><span class="s">&#39;3.5 W% FUEL ASSEMBLY&#39;</span>
<span class="err">CUBOID</span>  <span class="m">10</span>  <span class="m">4</span><span class="err">P</span><span class="m">11</span><span class="err">.</span><span class="m">05</span>  <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">07</span>
<span class="err">CUBOID</span>  <span class="m">20</span>  <span class="m">4</span><span class="err">P</span><span class="m">11</span><span class="err">.</span><span class="m">7</span>   <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">72</span>
<span class="err">CUBOID</span>  <span class="m">30</span>  <span class="m">4</span><span class="err">P</span><span class="m">12</span><span class="err">.</span><span class="m">2</span>   <span class="m">2</span><span class="err">P</span><span class="m">184</span><span class="err">.</span><span class="m">22</span>
<span class="err">ARRAY</span>  <span class="m">1</span> <span class="m">10</span>  <span class="err">PLACE</span> <span class="m">9</span> <span class="m">9</span> <span class="m">1</span> <span class="m">3</span><span class="err">*</span><span class="m">0</span><span class="err">.</span><span class="m">0</span>
<span class="err">MEDIA</span>  <span class="m">7</span>  <span class="m">1</span>  <span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">MEDIA</span>  <span class="m">3</span>  <span class="m">1</span>  <span class="m">20</span> <span class="err">-</span><span class="m">20</span> <span class="err">-</span><span class="m">20</span>
<span class="err">BOUNDARY</span>  <span class="m">30</span>
<span class="err">UNIT</span>  <span class="m">3</span>
<span class="err">COM=</span><span class="s">&#39;2.9 W% FUEL PIN&#39;</span>
<span class="err">CYLINDER</span> <span class="m">10</span>  <span class="m">0</span><span class="err">.</span><span class="m">4</span>  <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">0</span>
<span class="err">CYLINDER</span> <span class="m">20</span>  <span class="m">0</span><span class="err">.</span><span class="m">47</span> <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">07</span>
<span class="err">CUBOID</span>   <span class="m">30</span>  <span class="m">4</span><span class="err">P</span><span class="m">0</span><span class="err">.</span><span class="m">65</span> <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">07</span>
<span class="err">MEDIA</span> <span class="m">4</span> <span class="m">1</span> <span class="m">10</span>
<span class="err">MEDIA</span> <span class="m">5</span> <span class="m">1</span> <span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">MEDIA</span> <span class="m">6</span> <span class="m">1</span> <span class="m">30</span> <span class="err">-</span><span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">BOUNDARY</span> <span class="m">30</span>
<span class="err">UNIT</span>   <span class="m">4</span>
<span class="err">COM=</span><span class="s">&#39;2.9 W% FUEL ASSEMBLY&#39;</span>
<span class="err">CUBOID</span>  <span class="m">10</span>  <span class="m">4</span><span class="err">P</span><span class="m">11</span><span class="err">.</span><span class="m">05</span>  <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">07</span>
<span class="err">CUBOID</span>  <span class="m">20</span>  <span class="m">4</span><span class="err">P</span><span class="m">11</span><span class="err">.</span><span class="m">7</span>   <span class="m">2</span><span class="err">P</span><span class="m">183</span><span class="err">.</span><span class="m">72</span>
<span class="err">CUBOID</span>  <span class="m">30</span>  <span class="m">4</span><span class="err">P</span><span class="m">12</span><span class="err">.</span><span class="m">2</span>   <span class="m">2</span><span class="err">P</span><span class="m">184</span><span class="err">.</span><span class="m">22</span>
<span class="err">ARRAY</span>  <span class="m">2</span> <span class="m">10</span>  <span class="err">PLACE</span> <span class="m">9</span> <span class="m">9</span> <span class="m">1</span> <span class="m">3</span><span class="err">*</span><span class="m">0</span><span class="err">.</span><span class="m">0</span>
<span class="err">MEDIA</span>  <span class="m">7</span>  <span class="m">1</span>  <span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">MEDIA</span>  <span class="m">6</span>  <span class="m">1</span>  <span class="m">20</span> <span class="err">-</span><span class="m">20</span> <span class="err">-</span><span class="m">20</span>
<span class="err">BOUNDARY</span>  <span class="m">30</span>
<span class="err">GLOBAL</span>  <span class="err">UNIT</span> <span class="m">5</span>
<span class="err">COM=</span><span class="s">&#39;FUEL CASK CONTAINING 4X4 ARRAY OF ASSEMBLIES&#39;</span>
<span class="err">CUBOID</span>   <span class="m">10</span>  <span class="m">4</span><span class="err">P</span><span class="m">24</span><span class="err">.</span><span class="m">4</span>  <span class="m">2</span><span class="err">P</span><span class="m">184</span><span class="err">.</span><span class="m">22</span>
<span class="err">ARRAY</span>  <span class="m">3</span> <span class="m">10</span>  <span class="err">PLACE</span>  <span class="m">1</span> <span class="m">1</span> <span class="m">1</span> <span class="err">-</span><span class="m">12</span><span class="err">.</span><span class="m">2</span>  <span class="err">-</span><span class="m">12</span><span class="err">.</span><span class="m">2</span>  <span class="m">0</span><span class="err">.</span><span class="m">0</span>
<span class="err">BOUNDARY</span> <span class="m">10</span>
<span class="err">END</span> <span class="err">GEOM</span>
<span class="err">READ</span> <span class="err">ARRAY</span>
<span class="err">ARA=</span><span class="m">1</span> <span class="err">NUX=</span><span class="m">17</span> <span class="err">NUY=</span><span class="m">17</span> <span class="err">NUZ=</span><span class="m">1</span> <span class="err">FILL</span> <span class="err">F</span><span class="m">1</span> <span class="err">END</span> <span class="err">FILL</span>
<span class="err">ARA=</span><span class="m">2</span> <span class="err">NUX=</span><span class="m">17</span> <span class="err">NUY=</span><span class="m">17</span> <span class="err">NUZ=</span><span class="m">1</span> <span class="err">FILL</span> <span class="err">F</span><span class="m">3</span> <span class="err">END</span> <span class="err">FILL</span>
<span class="err">GBL=</span><span class="m">3</span> <span class="err">ARA=</span><span class="m">3</span> <span class="err">NUX=</span><span class="m">2</span> <span class="err">NUY=</span><span class="m">2</span> <span class="err">NUZ=</span><span class="m">1</span> <span class="err">FILL</span> <span class="m">2</span> <span class="m">4</span> <span class="m">4</span> <span class="m">2</span> <span class="err">END</span> <span class="err">FILL</span>
<span class="err">END</span> <span class="err">ARRAY</span>
<span class="err">READ</span> <span class="err">BOUNDS</span> <span class="err">XYF=PERIODIC</span> <span class="err">END</span> <span class="err">BOUNDS</span>
<span class="err">END</span> <span class="err">DATA</span>
<span class="err">END</span>
</pre></div>
</div>
<p>EXAMPLE 2. CSAS6 – Calculate the <em>k</em><sub>eff</sub> of a system using two unit
cell descriptions and cell-weighted mixtures.</p>
<p>Consider a problem in which a stainless steel cylinder with an inner
diameter of 56 cm and an inside height of 91 cm is filled with pellets
of UO<sub>2</sub> in borated water. The steel is 0.125 cm thick. The
spherical 2.57%-enriched UO<sub>2</sub> pellets have a diameter of 1.07 cm
and are arranged in a triangular pitch array with a pitch of 1.13 cm.
The spherical 2.96%-enriched UO<sub>2</sub> pellets have a diameter of
1.07 cm and are arranged in a triangular pitch array with a pitch of
1.12 cm. The cylindrical tank is filled half full of the 2.96% pellets
in borated water, and the remainder is filled with the 2.57%-enriched
pellets in borated water.</p>
<p>Mixture 100 is the cell-weighted mixture containing the 2.57%-enriched
uranium pellets and mixture 200 is the cell-weighted mixture containing
the 2.96%-enriched uranium pellets. Determine the <em>k</em><sub>eff</sub> of this
system. Input data for this problem follow.</p>
<div class="highlight-scale notranslate"><div class="highlight"><pre><span></span><span class="nf">=CSAS6</span>
<span class="m">2</span><span class="err">.</span><span class="m">57</span><span class="err">%</span> <span class="err">AND</span> <span class="m">2</span><span class="err">.</span><span class="m">96</span><span class="err">%</span> <span class="err">ENR</span> <span class="err">UO</span><span class="m">2</span> <span class="err">PELLETS</span> <span class="err">IN</span> <span class="m">3500</span> <span class="err">PPM</span> <span class="err">BORATED</span> <span class="err">WATER</span>
<span class="err">V</span><span class="m">7</span><span class="err">-</span><span class="m">238</span>
<span class="err">READ</span> <span class="err">COMP</span>
<span class="err">UO</span><span class="m">2</span>    <span class="m">1</span> <span class="m">0</span><span class="err">.</span><span class="m">925</span>  <span class="m">283</span> <span class="m">92235</span> <span class="m">2</span><span class="err">.</span><span class="m">57</span> <span class="m">92238</span> <span class="m">97</span><span class="err">.</span><span class="m">43</span> <span class="err">END</span>
<span class="err">H</span><span class="m">2</span><span class="err">O</span>    <span class="m">2</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">283</span> <span class="err">END</span>
<span class="err">ATOMBACID</span> <span class="m">2</span> <span class="m">2</span><span class="err">.</span><span class="m">0017</span><span class="err">-</span><span class="m">2</span> <span class="m">3</span> <span class="m">5000</span> <span class="m">1</span> <span class="m">1001</span> <span class="m">3</span> <span class="m">8016</span> <span class="m">3</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">283</span> <span class="err">END</span>
<span class="err">UO</span><span class="m">2</span>    <span class="m">3</span> <span class="m">0</span><span class="err">.</span><span class="m">925</span>  <span class="m">283</span> <span class="m">92235</span> <span class="m">2</span><span class="err">.</span><span class="m">96</span> <span class="m">92238</span> <span class="m">97</span><span class="err">.</span><span class="m">04</span> <span class="err">END</span>
<span class="err">H</span><span class="m">2</span><span class="err">O</span>    <span class="m">4</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">283</span> <span class="err">END</span>
<span class="err">ATOMBACID</span> <span class="m">4</span> <span class="m">2</span><span class="err">.</span><span class="m">0017</span><span class="err">-</span><span class="m">2</span> <span class="m">3</span> <span class="m">5000</span> <span class="m">1</span> <span class="m">1001</span> <span class="m">3</span> <span class="m">8016</span> <span class="m">3</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">283</span> <span class="err">END</span>
<span class="err">SS</span><span class="m">304</span> <span class="m">5</span> <span class="m">1</span><span class="err">.</span><span class="m">0</span> <span class="m">283</span> <span class="err">END</span>
<span class="err">END</span> <span class="err">COMP</span>
<span class="err">READ</span> <span class="err">CELLDATA</span>
<span class="err">LATTICECELL</span> <span class="err">CELLMIX=</span><span class="m">100</span> <span class="err">SPHTRIANGP</span> <span class="err">PITCH=</span><span class="m">1</span><span class="err">.</span><span class="m">13</span> <span class="m">2</span> <span class="err">FUELD=</span><span class="m">1</span><span class="err">.</span><span class="m">07</span> <span class="m">1</span> <span class="err">END</span>
<span class="err">LATTICECELL</span> <span class="err">CELLMIX=</span><span class="m">200</span> <span class="err">SPHTRIANGP</span> <span class="err">PITCH=</span><span class="m">1</span><span class="err">.</span><span class="m">13</span> <span class="m">4</span> <span class="err">FUELD=</span><span class="m">1</span><span class="err">.</span><span class="m">07</span> <span class="m">3</span> <span class="err">END</span>
<span class="err">END</span> <span class="err">CELLDATA</span>
<span class="err">READ</span> <span class="err">PARAM</span>  <span class="err">FLX=YES</span>   <span class="err">END</span> <span class="err">PARAM</span>
<span class="err">READ</span> <span class="err">GEOM</span>
<span class="err">GLOBAL</span> <span class="err">UNIT</span> <span class="m">1</span>
<span class="err">CYLINDER</span> <span class="m">10</span> <span class="m">38</span><span class="err">.</span><span class="m">0</span> <span class="m">45</span><span class="err">.</span><span class="m">5</span> <span class="m">0</span><span class="err">.</span><span class="m">0</span>
<span class="err">CYLINDER</span> <span class="m">20</span> <span class="m">38</span><span class="err">.</span><span class="m">0</span> <span class="m">91</span><span class="err">.</span><span class="m">0</span> <span class="m">0</span><span class="err">.</span><span class="m">0</span>
<span class="err">CYLINDER</span> <span class="m">30</span> <span class="m">38</span><span class="err">.</span><span class="m">125</span> <span class="m">91</span><span class="err">.</span><span class="m">0</span> <span class="err">-</span><span class="m">0</span><span class="err">.</span><span class="m">125</span>
<span class="err">MEDIA</span> <span class="m">100</span> <span class="m">1</span> <span class="m">10</span>
<span class="err">MEDIA</span> <span class="m">200</span> <span class="m">1</span> <span class="m">20</span> <span class="err">-</span><span class="m">10</span>
<span class="err">MEDIA</span>   <span class="m">5</span> <span class="m">1</span> <span class="m">30</span> <span class="err">-</span><span class="m">20</span>
<span class="err">BOUNDARY</span> <span class="m">30</span>
<span class="err">END</span> <span class="err">GEOM</span>
<span class="err">END</span> <span class="err">DATA</span>
<span class="err">END</span>
</pre></div>
</div>
</div>
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