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Dear Nathan,
<div class=""><br class="">
</div>
<div class="">As you have noticed, the Bump does not do a double geometrical progression. </div>
<div class="">The formula used is a bit more complicated, you can see what it actually does in the code (meshGEdge.cpp).</div>
<div class=""><br class="">
</div>
<div class="">A double progression is not (yet?) available.</div>
<div class="">Work around by dividing your second region in two?</div>
<div class=""><br class="">
</div>
<div class="">Regards, </div>
<div class="">Ruth</div>
<div class=""><br class="">
</div>
<div class=""><br class="">
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—<br class="">
Prof. Ruth V. Sabariego<br class="">
KU Leuven <br class="">
Dept. Electrical Engineering ESAT/Electa, EnergyVille<br class="">
<a href="http://www.esat.kuleuven.be/electa" class="">http://www.esat.kuleuven.be/electa</a></div>
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<a href="http://www.energyville.be" class="">http://www.energyville.be</a></div>
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<blockquote type="cite" class="">
<div class="">On 23 Oct 2018, at 22:07, Nathan J. Neeteson <<a href="mailto:nneeteson@rglinc.com" class="">nneeteson@rglinc.com</a>> wrote:</div>
<br class="Apple-interchange-newline">
<div class="">
<div class="WordSection1" style="page: WordSection1; caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
Hello,<o:p class=""></o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<o:p class=""> </o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
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 class=""></o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<o:p class=""> </o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
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 class=""></o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<o:p class=""> </o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
Here is a zoomed in look at where I want the first cells to match heights:<o:p class=""></o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<o:p class=""> </o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
The bottom block uses single progression and the upper block you are seeing the lower end of the double progression.<o:p class=""></o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span class=""><span id="cid:image001.png@01D46AD9.B5964A40"><image001.png></span></span><o:p class=""></o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<o:p class=""> </o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
Here is my .geo file:<o:p class=""></o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
-------------------------------------------------------------------------------------------<o:p class=""></o:p></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// orifice properties<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">orificeLength = 0.03;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">orificeRadius = 0.002;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// pipe properties<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">pipeRadius = 0.05;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// distance from orifice to inlet<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">inletDist = 5*pipeRadius;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// distance from orifice to outlet<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">outletDist = 5*pipeRadius;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// grid size parameters<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">r = 1.1; // growth parameter<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">dx0 = 1*10^(-4); // first wall dist for y+=1<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamNx = (Log(1 + ((inletDist*(r-1))/(dx0))) / Log(r)) - 1; // number of elements in x direction upstream<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">downstreamNx = (Log(1 + ((outletDist*(r-1))/(dx0))) / Log(r)) - 1; // number of elements in x direction upstream<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">orificeNx = orificeLength/dx0; // number of elements in x direction inside orifice<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamOrificeNy = orificeRadius/dx0;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamPipeNy = 2*((Log(1 + ((((pipeRadius-orificeRadius)/2)*(r-1))/(dx0))) / Log(r)) - 1);<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// element index<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i = 1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// ~~-------------------------~~ POINTS ~~-------------------------~~<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// order of point definition doesn't matter, just give descriptive names<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">inletCenterPoint = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Point(i) = {-orificeLength-inletDist,0,0,1};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">inletPipeWallPoint = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Point(i) = {-orificeLength-inletDist,pipeRadius,0,1};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">inletOrificeWallPoint = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Point(i) = {-orificeLength-inletDist,orificeRadius,0,1};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upOrificeCenterPoint = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Point(i) = {-orificeLength,0,0,1};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upOrificePipeWallPoint = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Point(i) = {-orificeLength,pipeRadius,0,1};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upOrificeOrificeWallPoint = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Point(i) = {-orificeLength,orificeRadius,0,1};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// ~~-------------------------~~ LINES ~~-------------------------~~<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// all lines should be defined going up and/or to the right for consistency<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">inletOrificeLine = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Line(i) = {inletCenterPoint,inletOrificeWallPoint};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">inletPipeLine = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Line(i) = {inletOrificeWallPoint,inletPipeWallPoint};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamPipeWallLine = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Line(i) = {inletPipeWallPoint,upOrificePipeWallPoint};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamCenterLine = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Line(i) = {inletCenterPoint,upOrificeCenterPoint};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamOrificeLine = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Line(i) = {inletOrificeWallPoint,upOrificeOrificeWallPoint};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamOrificePlateLine = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Line(i) = {upOrificeOrificeWallPoint,upOrificePipeWallPoint};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamOrificeEntryLine = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Line(i) = {upOrificeCenterPoint,upOrificeOrificeWallPoint};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// ~~-------------------------~~ LINE LOOPS ~~-------------------------~~<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// all line loops should be oriented clockwise<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamPipeLoop = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Line Loop(i) = {inletPipeLine,upstreamPipeWallLine,-upstreamOrificePlateLine,-upstreamOrificeLine};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamOrificeLoop = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Line Loop(i) = {inletOrificeLine,upstreamOrificeLine,-upstreamOrificeEntryLine,-upstreamCenterLine};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// ~~-------------------------~~ PLANE SURFACES ~~-------------------------~~<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamPipePlane = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Plane Surface(i) = upstreamPipeLoop;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">upstreamOrificePlane = i;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Plane Surface(i) = upstreamOrificeLoop;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">i=i+1;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// ~~-------------------------~~ MAKE STRUCTURED ~~-------------------------~~<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// the x-oriented lines upstream of the orifice<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Transfinite Line{-upstreamCenterLine,-upstreamOrificeLine,-upstreamPipeWallLine} = upstreamNx Using Progression r;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// the x-oriented lines in the orifice<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// the x-oriented lines downstream of the orifice<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// the y-oriented lines from the centerline to the orifice radius<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Transfinite Line{inletOrificeLine,upstreamOrificeEntryLine} = upstreamOrificeNy;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">// the y-oriented lines from the orifice radius to the pipe radius<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Transfinite Line{inletPipeLine,upstreamOrificePlateLine} = upstreamPipeNy Using Bump 0.05;<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Transfinite Surface{upstreamOrificePlane};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Recombine Surface{upstreamOrificePlane};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class=""><o:p class=""> </o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Transfinite Surface{upstreamPipePlane};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt 36pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span style="font-family: Arial, sans-serif;" class="">Recombine Surface{upstreamPipePlane};<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
-------------------------------------------------------------------------------------------<o:p class=""></o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<o:p class=""> </o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
Thanks,<o:p class=""></o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<o:p class=""> </o:p></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span lang="EN-US" class="">Nathan J. Neeteson, M.Sc.<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span lang="EN-US" class="">Flow Control Research Engineer<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<b class=""><span lang="EN-US" class="">RGL Reservoir Management Inc.<o:p class=""></o:p></span></b></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span lang="EN-US" class="">Engineering & Design Group<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span lang="EN-US" class="">P.<span class="Apple-converted-space"> </span><a href="tel:403.930.0371;8371" style="color: rgb(149, 79, 114); text-decoration: underline;" class="">403.930.0371 (ext. 8371)</a><span class="Apple-converted-space"> </span>| C.<span class="Apple-converted-space"> </span><a href="tel:613.929.6283" style="color: rgb(149, 79, 114); text-decoration: underline;" class="">613.929.6283</a><o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<span lang="EN-US" class=""><a href="mailto:nneeteson@rglinc.com" style="color: rgb(149, 79, 114); text-decoration: underline;" class=""><span style="color: rgb(5, 99, 193);" class="">nneeteson@rglinc.com</span></a><span class="Apple-converted-space"> </span>|<span class="Apple-converted-space"> </span><a href="http://rglinc.com/" style="color: rgb(149, 79, 114); text-decoration: underline;" class="">rglinc.com</a><o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 15.399999618530273px;" class="">
<span class="">API Q1™ and ISO 9001:2015 certified facilities.<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif; line-height: 15.399999618530273px;" class="">
<span lang="EN-US" style="color: rgb(237, 125, 49);" class="">NOTE: Email and URL addresses have recently changed<o:p class=""></o:p></span></div>
<div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class="">
<o:p class=""> </o:p></div>
</div>
<span style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;" class="">Email
disclaimer located at<span class="Apple-converted-space"> </span></span><a href="http://rglinc.com/disclaimer" style="color: rgb(149, 79, 114); text-decoration: underline; font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px;" class="">http://rglinc.com/disclaimer</a><span style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;" class=""><span class="Apple-converted-space"> </span>_______________________________________________</span><br style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;" class="">
<span style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;" class="">gmsh
mailing list</span><br style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;" class="">
<a href="mailto:gmsh@onelab.info" style="color: rgb(149, 79, 114); text-decoration: underline; font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px;" class="">gmsh@onelab.info</a><br style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;" class="">
<a href="http://onelab.info/mailman/listinfo/gmsh" style="color: rgb(149, 79, 114); text-decoration: underline; font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px;" class="">http://onelab.info/mailman/listinfo/gmsh</a></div>
</blockquote>
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