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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">It might be useful having the possibility to specify the number of intervals and the length of the first element, rather than the progression…<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">A.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
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<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Segoe UI","sans-serif"">Da:</span></b><span style="font-size:10.0pt;font-family:"Segoe UI","sans-serif""> gmsh [mailto:gmsh-bounces@ace20.montefiore.ulg.ac.be]
<b>Per conto di </b>Ruth Vazquez Sabariego<br>
<b>Inviato:</b> mercoledì 24 ottobre 2018 16:28<br>
<b>A:</b> Nathan J. Neeteson<br>
<b>Cc:</b> gmsh@onelab.info<br>
<b>Oggetto:</b> Re: [Gmsh] Question about Progression and Bump<o:p></o:p></span></p>
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<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Dear Nathan, <o:p></o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal">As you have noticed, the Bump does not do a double geometrical progression. <o:p></o:p></p>
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<p class="MsoNormal">The formula used is a bit more complicated, you can see what it actually does in the code (meshGEdge.cpp).<o:p></o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal">A double progression is not (yet?) available.<o:p></o:p></p>
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<p class="MsoNormal">Work around by dividing your second region in two?<o:p></o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal">Regards, <o:p></o:p></p>
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<p class="MsoNormal">Ruth<o:p></o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal"><span style="color:black">—<br>
Prof. Ruth V. Sabariego<br>
KU Leuven <br>
Dept. Electrical Engineering ESAT/Electa, EnergyVille<br>
<a href="https://urlsand.esvalabs.com/?u=http%3A%2F%2Fwww.esat.kuleuven.be%2Felecta&e=69b77ccd&h=6f8d0521&f=y&p=y">http://www.esat.kuleuven.be/electa</a><o:p></o:p></span></p>
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<p class="MsoNormal"><a href="https://urlsand.esvalabs.com/?u=http%3A%2F%2Fwww.energyville.be&e=69b77ccd&h=5cdb1935&f=y&p=y">http://www.energyville.be</a><o:p></o:p></p>
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<p class="MsoNormal"><span style="color:black"><o:p> </o:p></span></p>
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<p class="MsoNormal" style="margin-bottom:12.0pt"><span style="color:black">Free software: <a href="https://urlsand.esvalabs.com/?u=http%3A%2F%2Fgmsh.info&e=69b77ccd&h=ec49fb48&f=y&p=y">http://gmsh.info</a> | <a href="https://urlsand.esvalabs.com/?u=http%3A%2F%2Fgetdp.info&e=69b77ccd&h=0e857c64&f=y&p=y">http://getdp.info</a> | <a href="https://urlsand.esvalabs.com/?u=http%3A%2F%2Fonelab.info&e=69b77ccd&h=e3a8f919&f=y&p=y">http://onelab.info</a><br>
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<o:p></o:p></span></p>
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<p class="MsoNormal"><br>
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<o:p></o:p></p>
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<p class="MsoNormal">On 23 Oct 2018, at 22:07, Nathan J. Neeteson <<a href="mailto:nneeteson@rglinc.com">nneeteson@rglinc.com</a>> wrote:<o:p></o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif"">Hello,<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""> <o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif"">I have a question about using Progression and Bump in neighboring blocks in a block-structured mesh. What I want is for the two blocks to have cells of the same height where
they meet. I know the thickness of the first cell from the wall (dx0), the length of each line (L), and the progression I want (r), so when I’m using Progression I can calculate the number of nodes to use as N = log(1+(L*(r-1))/(dx0)) / log(r) – 1. Then I
can set the appropriate lines to Transfinite and assign them N Using Progression r and it works as expected.<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""> <o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif"">However, in one of my blocks I want to refine towards both the top and bottom, so I need to use the Bump option. The problem is that I have no idea what “r” value to use
after Bump (using the same r value as is used for Progression does not give me the results I want) and I also have no idea how to calculate the number of points to use along this line. MY first instinct was to calculate the number of points needed as double
the number of points for a single progression with half of the length (two progressions end to end). I think this is right, but when I use r after Bump I get no refinement. What value am I supposed to use for number of points and the rate of growth when using
the Bump function so that I get the equivalent of the product of two Progressions end to end?<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""> <o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif"">Here is a zoomed in look at where I want the first cells to match heights:<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""> <o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif"">The bottom block uses single progression and the upper block you are seeing the lower end of the double progression.<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><image001.png><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""> <o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif"">Here is my .geo file:<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif"">-------------------------------------------------------------------------------------------<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// orifice properties</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">orificeLength = 0.03;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">orificeRadius = 0.002;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// pipe properties</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">pipeRadius = 0.05;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// distance from orifice to inlet</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">inletDist = 5*pipeRadius;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// distance from orifice to outlet</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">outletDist = 5*pipeRadius;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// grid size parameters</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">r = 1.1; // growth parameter</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">dx0 = 1*10^(-4); // first wall dist for y+=1</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamNx = (Log(1 + ((inletDist*(r-1))/(dx0))) / Log(r)) - 1; // number of elements in x direction upstream</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">downstreamNx = (Log(1 + ((outletDist*(r-1))/(dx0))) / Log(r)) - 1; // number of elements in x direction upstream</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">orificeNx = orificeLength/dx0; // number of elements in x direction inside orifice</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamOrificeNy = orificeRadius/dx0;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamPipeNy = 2*((Log(1 + ((((pipeRadius-orificeRadius)/2)*(r-1))/(dx0))) / Log(r)) - 1);</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// element index</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i = 1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// ~~-------------------------~~ POINTS ~~-------------------------~~</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// order of point definition doesn't matter, just give descriptive names</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">inletCenterPoint = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Point(i) = {-orificeLength-inletDist,0,0,1};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">inletPipeWallPoint = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Point(i) = {-orificeLength-inletDist,pipeRadius,0,1};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">inletOrificeWallPoint = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Point(i) = {-orificeLength-inletDist,orificeRadius,0,1};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upOrificeCenterPoint = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Point(i) = {-orificeLength,0,0,1};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upOrificePipeWallPoint = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Point(i) = {-orificeLength,pipeRadius,0,1};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upOrificeOrificeWallPoint = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Point(i) = {-orificeLength,orificeRadius,0,1};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// ~~-------------------------~~ LINES ~~-------------------------~~</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// all lines should be defined going up and/or to the right for consistency</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">inletOrificeLine = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Line(i) = {inletCenterPoint,inletOrificeWallPoint};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">inletPipeLine = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Line(i) = {inletOrificeWallPoint,inletPipeWallPoint};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamPipeWallLine = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Line(i) = {inletPipeWallPoint,upOrificePipeWallPoint};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamCenterLine = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Line(i) = {inletCenterPoint,upOrificeCenterPoint};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamOrificeLine = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Line(i) = {inletOrificeWallPoint,upOrificeOrificeWallPoint};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamOrificePlateLine = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Line(i) = {upOrificeOrificeWallPoint,upOrificePipeWallPoint};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamOrificeEntryLine = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Line(i) = {upOrificeCenterPoint,upOrificeOrificeWallPoint};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// ~~-------------------------~~ LINE LOOPS ~~-------------------------~~</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// all line loops should be oriented clockwise</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamPipeLoop = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Line Loop(i) = {inletPipeLine,upstreamPipeWallLine,-upstreamOrificePlateLine,-upstreamOrificeLine};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamOrificeLoop = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Line Loop(i) = {inletOrificeLine,upstreamOrificeLine,-upstreamOrificeEntryLine,-upstreamCenterLine};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// ~~-------------------------~~ PLANE SURFACES ~~-------------------------~~</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamPipePlane = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Plane Surface(i) = upstreamPipeLoop;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">upstreamOrificePlane = i;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Plane Surface(i) = upstreamOrificeLoop;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">i=i+1;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// ~~-------------------------~~ MAKE STRUCTURED ~~-------------------------~~</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// the x-oriented lines upstream of the orifice</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Transfinite Line{-upstreamCenterLine,-upstreamOrificeLine,-upstreamPipeWallLine} = upstreamNx Using Progression r;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// the x-oriented lines in the orifice</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
<div style="margin-left:36.0pt">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// the x-oriented lines downstream of the orifice</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
</div>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// the y-oriented lines from the centerline to the orifice radius</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Transfinite Line{inletOrificeLine,upstreamOrificeEntryLine} = upstreamOrificeNy;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">// the y-oriented lines from the orifice radius to the pipe radius</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Transfinite Line{inletPipeLine,upstreamOrificePlateLine} = upstreamPipeNy Using Bump 0.05;</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Transfinite Surface{upstreamOrificePlane};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Recombine Surface{upstreamOrificePlane};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif""> </span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Transfinite Surface{upstreamPipePlane};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Arial","sans-serif"">Recombine Surface{upstreamPipePlane};</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif"">-------------------------------------------------------------------------------------------<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""> <o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif"">Thanks,<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""> <o:p></o:p></span></p>
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<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif"">Nathan J. Neeteson, M.Sc.</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif"">Flow Control Research Engineer</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><b><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif"">RGL Reservoir Management Inc.</span></b><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif"">Engineering & Design Group</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif"">P.<span class="apple-converted-space"> </span><a href="tel:403.930.0371;8371"><span style="color:#954F72">403.930.0371 (ext. 8371)</span></a><span class="apple-converted-space"> </span>|
C.<span class="apple-converted-space"> </span><a href="tel:613.929.6283"><span style="color:#954F72">613.929.6283</span></a></span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif""><a href="mailto:nneeteson@rglinc.com"><span style="color:#0563C1">nneeteson@rglinc.com</span></a><span class="apple-converted-space"> </span>|<span class="apple-converted-space"> </span><a href="https://urlsand.esvalabs.com/?u=http%3A%2F%2Frglinc.com%2F&e=69b77ccd&h=eaebd207&f=y&p=y"><span style="color:#954F72">rglinc.com</span></a></span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal" style="line-height:11.55pt"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif"">API Q1™ and ISO 9001:2015 certified facilities.<o:p></o:p></span></p>
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<p class="MsoNormal" style="line-height:11.55pt"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#ED7D31">NOTE: Email and URL addresses have recently changed</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif""> <o:p></o:p></span></p>
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