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<p class="MsoNormal">Hi all,<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">OK, I see the rational although it does hurt my “Taylor expansion feelings”. It’s not mathematically consistent.<o:p></o:p></p>
<p class="MsoNormal">Might be worth a comment in the doc why it is done like that?<o:p></o:p></p>
<p class="MsoNormal">Cheers,<o:p></o:p></p>
<p class="MsoNormal">David<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal"><b><span style="font-size:12.0pt;color:black">From: </span></b><span style="font-size:12.0pt;color:black">MITgcm-support <mitgcm-support-bounces@mitgcm.org> on behalf of Edward Doddridge <edward.doddridge@utas.edu.au><br>
<b>Reply-To: </b>"mitgcm-support@mitgcm.org" <mitgcm-support@mitgcm.org><br>
<b>Date: </b>Friday, June 18, 2021 at 6:03 AM<br>
<b>To: </b>"mitgcm-support@mitgcm.org" <mitgcm-support@mitgcm.org><br>
<b>Subject: </b>Re: [MITgcm-support] Awkward parameters in tutorial_reentrant_channel<o:p></o:p></span></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal">Hi all, <o:p></o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal">Mike is correct - f0 was chosen for the southern boundary and beta is chosen for the midpoint of the domain. This means the beta-plane approximation is centred in the domain, which makes most sense to me.<o:p></o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal">Cheers,<o:p></o:p></p>
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<p class="MsoNormal">Ed<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 class="apple-style-span"><span style="font-size:12.0pt;font-family:Palatino;color:black"><o:p> </o:p></span></span></p>
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<p class="MsoNormal"><span class="apple-style-span"><b><span style="font-size:10.0pt;font-family:"Tahoma",sans-serif;color:black">Edward Doddridge </span></b></span><span style="font-size:12.0pt;font-family:"Tahoma",sans-serif;color:black">(he/him)</span><o:p></o:p></p>
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<p class="MsoNormal"><span class="apple-style-span"><i><span style="font-size:10.0pt;font-family:"Tahoma",sans-serif;color:black">Research Associate and Theme Leader </span></i></span><span style="font-size:12.0pt;font-family:Palatino;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span class="apple-style-span"><i><span style="font-size:10.0pt;font-family:"Tahoma",sans-serif;color:black">Australian Antarctic Program Partnership (AAPP)</span></i></span><span style="font-size:12.0pt;font-family:Palatino;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span class="apple-style-span"><i><span style="font-size:10.0pt;font-family:"Tahoma",sans-serif;color:black">Institute for Marine and Antarctic Studies (IMAS)</span></i></span><span style="font-size:12.0pt;font-family:Palatino;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span class="apple-style-span"><i><span style="font-size:10.0pt;font-family:"Tahoma",sans-serif;color:black">University of Tasmania (UTAS)</span></i></span><span style="font-size:12.0pt;font-family:Palatino;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span class="apple-style-span"><span style="font-size:10.0pt;font-family:"Tahoma",sans-serif;color:black"><a href="http://www.doddridge.me">www.doddridge.me</a></span></span><span style="font-size:12.0pt;font-family:Palatino;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal">On 18 Jun 2021, at 05:11, MICHAEL A SPALL <<a href="mailto:mspall@whoi.edu">mspall@whoi.edu</a>> wrote:<o:p></o:p></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif">Is it because f0 applies to the southern limit of the domain (f=f0+beta*(y-y0), where y0 is at j=1) and beta was chosen to be representative of the mid-latitude of the domain?<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif"><o:p> </o:p></span></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif">Mike<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif"><o:p> </o:p></span></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif">On 6/17/21 3:08 PM, Jeffery R Scott wrote:<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif">Hi David,<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif"><o:p> </o:p></span></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif">Thanks for alerting this to us. These numbers came from Ed Doddridge's SO setup, and values probably overlooked as the tutorial lat-lon domain evolved to final form...<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif">but not sure why they were originally chosen as such. Perhaps Ed can recall?<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif"><o:p> </o:p></span></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif">Jeff<o:p></o:p></span></p>
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<p class="MsoNormal"><b>From:</b><span class="apple-converted-space"> </span>MITgcm-support<span class="apple-converted-space"> </span><a href="mailto:mitgcm-support-bounces@mitgcm.org"><mitgcm-support-bounces@mitgcm.org></a><span class="apple-converted-space"> </span>on
behalf of David Ferreira<span class="apple-converted-space"> </span><a href="mailto:dfer@mit.edu"><dfer@mit.edu></a><br>
<b>Sent:</b><span class="apple-converted-space"> </span>Thursday, June 17, 2021 2:33 PM<br>
<b>To:</b><span class="apple-converted-space"> </span><a href="mailto:mitgcm-support@mitgcm.org">mitgcm-support@mitgcm.org</a><br>
<b>Subject:</b><span class="apple-converted-space"> </span>[MITgcm-support] Awkward parameters in tutorial_reentrant_channel<span style="font-size:12.0pt;font-family:"Palatino-Roman",serif">
<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:12.0pt;font-family:"Palatino-Roman",serif"> <o:p></o:p></span></p>
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<p class="MsoNormal"><span class="s1"><span style="font-size:8.5pt;font-family:Menlo">Hi all,</span></span><span style="font-size:8.5pt;font-family:Menlo"><o:p></o:p></span></p>
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<p class="p1" style="margin:0in"><span class="s1"><span style="font-size:8.5pt;font-family:Menlo"> </span></span><span style="font-size:8.5pt;font-family:Menlo"><o:p></o:p></span></p>
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<p class="MsoNormal"><span class="s1"><span style="font-size:8.5pt;font-family:Menlo">Having a look at the zonally reentrant channel in verification, in data we have:</span></span><span style="font-size:8.5pt;font-family:Menlo"><o:p></o:p></span></p>
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<p class="p1" style="margin:0in"><span class="s1"><span style="font-size:8.5pt;font-family:Menlo"> </span></span><span style="font-size:8.5pt;font-family:Menlo"><o:p></o:p></span></p>
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<p class="MsoNormal"><span class="s1"><span style="font-size:8.5pt;font-family:Menlo"># Coriolis parameter</span></span><span style="font-size:8.5pt;font-family:Menlo"><o:p></o:p></span></p>
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<p class="MsoNormal"><span class="apple-converted-space"><span style="font-size:8.5pt;font-family:Menlo"> </span></span><span class="s1"><span style="font-size:8.5pt;font-family:Menlo">f0=-1.363e-4,</span></span><span style="font-size:8.5pt;font-family:Menlo"><o:p></o:p></span></p>
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<p class="MsoNormal"><span class="apple-converted-space"><span style="font-size:8.5pt;font-family:Menlo"> </span></span><span class="s1"><span style="font-size:8.5pt;font-family:Menlo">beta=1.313e-11,</span></span><span style="font-size:8.5pt;font-family:Menlo"><o:p></o:p></span></p>
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<p class="p1" style="margin:0in"><span class="s1"><span style="font-size:8.5pt;font-family:Menlo"> </span></span><span style="font-size:8.5pt;font-family:Menlo"><o:p></o:p></span></p>
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<p class="MsoNormal"><span class="s1"><span style="font-size:8.5pt;font-family:Menlo">fo corresponds to a latitude of 70S, while beta corresponds to 55S.</span></span><span style="font-size:8.5pt;font-family:Menlo"><o:p></o:p></span></p>
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<p class="p1" style="margin:0in"><span class="s1"><span style="font-size:8.5pt;font-family:Menlo"> </span></span><span style="font-size:8.5pt;font-family:Menlo"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:8.5pt;font-family:Menlo">No big deal, but curious if this intentional and if so why. Artificially reinforcing beta effect?<o:p></o:p></span></p>
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<p class="p1" style="margin:0in"><span style="font-size:8.5pt;font-family:Menlo"> <o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:8.5pt;font-family:Menlo">Cheers,<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:8.5pt;font-family:Menlo">David<o:p></o:p></span></p>
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<p class="p1" style="margin:0in"><span style="font-size:8.5pt;font-family:Menlo"> <o:p></o:p></span></p>
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<o:p></o:p></span></p>
<pre>_______________________________________________<o:p></o:p></pre>
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<pre style="caret-color: rgb(0, 0, 0);font-variant-caps: normal;text-align:start;-webkit-text-stroke-width: 0px;word-spacing:0px"><span style="font-size:12.0pt">-- <o:p></o:p></span></pre>
<pre><span style="font-size:12.0pt">Michael Spall<o:p></o:p></span></pre>
<pre><span style="font-size:12.0pt">Senior Scientist<o:p></o:p></span></pre>
<pre><span style="font-size:12.0pt">Department of Physical Oceanography<o:p></o:p></span></pre>
<pre><span style="font-size:12.0pt"><o:p> </o:p></span></pre>
<pre><span style="font-size:12.0pt">MS #21<o:p></o:p></span></pre>
<pre><span style="font-size:12.0pt">Woods Hole Oceanographic Institution<o:p></o:p></span></pre>
<pre><span style="font-size:12.0pt">360 Woods Hole Road<o:p></o:p></span></pre>
<pre><span style="font-size:12.0pt">Woods Hole, MA 02543<o:p></o:p></span></pre>
<pre><span style="font-size:12.0pt"><o:p> </o:p></span></pre>
<pre><span style="font-size:12.0pt">508-289-3342<o:p></o:p></span></pre>
<pre><span style="font-size:12.0pt"><a href="mailto:mspall@whoi.edu">mspall@whoi.edu</a><o:p></o:p></span></pre>
<pre><span style="font-size:12.0pt"><a href="http://www.whoi.edu/science/PO/people/mspall/index.html">http://www.whoi.edu/science/PO/people/mspall/index.html</a><o:p></o:p></span></pre>
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