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<div id="divtagdefaultwrapper" style="font-size:12pt;color:#000000;font-family:Calibri,Helvetica,sans-serif;" dir="ltr">
<p><br>
</p>
<p>Hi,</p>
<p><br>
</p>
<p>Have you tested your routine on plane Poiseiulle flow,</p>
<p>u=1-y^2 ?</p>
<p><br>
</p>
<p>Paul</p>
</div>
<hr style="display:inline-block;width:98%" tabindex="-1">
<div id="divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>From:</b> nek5000-users-bounces@lists.mcs.anl.gov <nek5000-users-bounces@lists.mcs.anl.gov> on behalf of nek5000-users@lists.mcs.anl.gov <nek5000-users@lists.mcs.anl.gov><br>
<b>Sent:</b> Friday, June 23, 2017 8:12:37 AM<br>
<b>To:</b> nek5000-users@lists.mcs.anl.gov<br>
<b>Subject:</b> [Nek5000-users] Help: compute dissipation</font>
<div> </div>
</div>
<div>Hi NEK users,
<div class=""><br class="">
</div>
<div class="">I am trying to calculate dissipation for fully developed turbulent channel flow. I tried the code below, but result I got from this totally disagrees with Vreman’s 2014 paper. x-axis is streamwise, y-axis is wall-normal and z-axis is spanwise.
Any errors in the code? Any thoughts?</div>
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mso-bidi-font-family:Consolas" class=""> $ , wrms_pl(ly1*lely)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> $ , uvms_pl(ly1*lely)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> $ , diss_sqr_pl(ly1*lely)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> $ , yy(ly1*lely)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> $ , w1(ly1*lely),w2(ly1*lely)<o:p class=""></o:p></span></p>
<p class="MsoNormal"><span style="font-family:"Consolas",sans-serif;mso-bidi-font-family:
Consolas" class=""> $ , ffx_avg, dragx_avg<o:p class=""></o:p></span></p>
<p class="MsoNormal"><span style="font-family:"Consolas",sans-serif;mso-bidi-font-family:
Consolas" class=""> </span></p>
<p class="MsoNormal"><span style="font-family:"Consolas",sans-serif;mso-bidi-font-family:
Consolas" class=""> </span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class="">parameter (lr=lx1*ly1*lz1)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> common /scruz/ ur(lr),us(lr),ut(lr)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> $ , vr(lr),vs(lr),vt(lr)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> $ , wr(lr),ws(lr),wt(lr)<o:p class=""></o:p></span></p>
<p class="MsoNormal"><o:p class=""> </o:p></p>
<p class="MsoNormal"><o:p class=""> </o:p></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class="">common /avg/ uavg(lx1,ly1,lz1,lelv)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> & , vavg(lx1,ly1,lz1,lelv)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> & , wavg(lx1,ly1,lz1,lelv)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> & , urms(lx1,ly1,lz1,lelv)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> & , vrms(lx1,ly1,lz1,lelv)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> & , wrms(lx1,ly1,lz1,lelv)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> & , uvms(lx1,ly1,lz1,lelv)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> & , dissavg(lx1,ly1,lz1,lelv)<o:p class=""></o:p></span></p>
<p class="MsoNormal"><o:p class=""> </o:p></p>
<p class="MsoNormal"><o:p class=""> </o:p></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class="">common /scrns/ sij (lx1*ly1*lz1,6,lelv)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> </span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class="">if(icalld.eq.0) then<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> call rzero(uavg,n)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> call rzero(urms,n)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> call rzero(vrms,n)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> call rzero(wrms,n)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> call rzero(uvms,n)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> call rzero(dissavg,n)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> call rzero(wavg,n)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> call rzero(vavg,n)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> call rzero(diss_sqr,n)<o:p class=""></o:p></span></p>
<p class="MsoNormal"><o:p class=""> </o:p> </p>
<p class="MsoNormal"><o:p class=""> </o:p></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class="">call comp_sij(sij,6,vx,vy,vz,ur,us,ut,vr,vs,vt,wr,ws,wt)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> </span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family: Consolas, sans-serif;" class=""> </span><span style="font-family: Consolas, sans-serif;" class="">do e=1,nelt</span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> do i = 1,nx1*ny1*nz1<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> s11=sij(i,1,e)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> s12=sij(i,4,e)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> s22=sij(i,2,e)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> s13=sij(i,6,e)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> s23=sij(i,5,e)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> s33=sij(i,3,e)<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class="">
<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> diss_sqr(i,1,1,e) = (s11*s11) +<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> $ (s22*s22) +
<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> $ (s33*s33) +<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> $ (s12*s12)*2 + (s23*s23)*2 +<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> $ (s13*s13)*2<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> </span><span style="font-family: Consolas, sans-serif;" class=""> </span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> enddo<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> enddo<o:p class=""></o:p></span></p>
<p class="MsoNormal"><o:p class=""> </o:p></p>
<p class="MsoNormal"><span style="font-family: Consolas, sans-serif;" class="">call avg1(dissavg,diss_sqr,alpha,beta,n,'diss',ifverbose)</span></p>
<p class="MsoNormal"><o:p class=""> </o:p></p>
<div class=""><span style="font-family: Consolas, sans-serif;" class="">call planar_average_s(diss_sqr_pl,dissavg,w1,w2)</span></div>
<p class="MsoNormal"><o:p class=""> </o:p> </p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class="">do i=1,ny1*nely/2<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> uavg_pl(i) = 0.5 * (uavg_pl(i) + uavg_pl(m-i+1))<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> vavg_pl(i) = 0.5 * (vavg_pl(i) + vavg_pl(m-i+1))<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> wavg_pl(i) = 0.5 * (wavg_pl(i) + wavg_pl(m-i+1))<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> diss_sqr_pl(i) = 0.5 * (diss_sqr_pl(i) + diss_sqr_pl(m-i+1))<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> urms_pl(i) = 0.5 * (urms_pl(i) + urms_pl(m-i+1))<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> vrms_pl(i) = 0.5 * (vrms_pl(i) + vrms_pl(m-i+1))<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> wrms_pl(i) = 0.5 * (wrms_pl(i) + wrms_pl(m-i+1))<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> </span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> enddo<o:p class=""></o:p></span></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:
normal;tab-stops:48.0pt 96.0pt 2.0in 192.0pt 240.0pt 4.0in 336.0pt 384.0pt 6.0in 480.0pt 528.0pt 8.0in 624.0pt 672.0pt 10.0in 768.0pt 816.0pt 12.0in 912.0pt 960.0pt 14.0in 1056.0pt 1104.0pt 16.0in 1200.0pt 1248.0pt 18.0in 1344.0pt 1392.0pt 20.0in 1488.0pt 1536.0pt;
mso-layout-grid-align:none;text-autospace:none">
<span style="font-family:"Consolas",sans-serif;
mso-bidi-font-family:Consolas" class=""> <o:p class=""></o:p></span></p>
<p class="MsoNormal"><o:p class=""> </o:p></p>
<!--EndFragment--></div>
<div class=""><br class="">
</div>
<div class="">Many thanks.</div>
<div class="">
<div class=""><br class="">
</div>
<div class=""><br class="">
</div>
</div>
</div>
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