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I agree it looks a little odd, but I think it’s better than centring the Taylor expansion on the edge of the domain.
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<div class="">A one line comment is a good suggestion.</div>
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<div class="">Ed</div>
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<div class="">On 19 Jun 2021, at 01:16, David Ferreira <<a href="mailto:dfer@mit.edu" class="">dfer@mit.edu</a>> wrote:</div>
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Hi all,<o:p class=""></o:p></div>
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OK, I see the rational although it does hurt my “Taylor expansion feelings”. It’s not mathematically consistent.<o:p class=""></o:p></div>
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Might be worth a comment in the doc why it is done like that?<o:p class=""></o:p></div>
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Cheers,<o:p class=""></o:p></div>
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David<o:p class=""></o:p></div>
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<b class=""><span style="font-size: 12pt;" class="">From:<span class="Apple-converted-space"> </span></span></b><span style="font-size: 12pt;" class="">MITgcm-support <<a href="mailto:mitgcm-support-bounces@mitgcm.org" style="color: blue; text-decoration: underline;" class="">mitgcm-support-bounces@mitgcm.org</a>>
on behalf of Edward Doddridge <<a href="mailto:edward.doddridge@utas.edu.au" style="color: blue; text-decoration: underline;" class="">edward.doddridge@utas.edu.au</a>><br class="">
<b class="">Reply-To:<span class="Apple-converted-space"> </span></b>"<a href="mailto:mitgcm-support@mitgcm.org" style="color: blue; text-decoration: underline;" class="">mitgcm-support@mitgcm.org</a>" <<a href="mailto:mitgcm-support@mitgcm.org" style="color: blue; text-decoration: underline;" class="">mitgcm-support@mitgcm.org</a>><br class="">
<b class="">Date:<span class="Apple-converted-space"> </span></b>Friday, June 18, 2021 at 6:03 AM<br class="">
<b class="">To:<span class="Apple-converted-space"> </span></b>"<a href="mailto:mitgcm-support@mitgcm.org" style="color: blue; text-decoration: underline;" class="">mitgcm-support@mitgcm.org</a>" <<a href="mailto:mitgcm-support@mitgcm.org" style="color: blue; text-decoration: underline;" class="">mitgcm-support@mitgcm.org</a>><br class="">
<b class="">Subject:<span class="Apple-converted-space"> </span></b>Re: [MITgcm-support] Awkward parameters in tutorial_reentrant_channel<o:p class=""></o:p></span></div>
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Hi all,<span class="Apple-converted-space"> </span><o:p class=""></o:p></div>
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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 class=""></o:p></div>
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Cheers,<o:p class=""></o:p></div>
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Ed<o:p class=""></o:p></div>
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<span class="apple-style-span"><b class=""><span style="font-size: 10pt; font-family: Tahoma, sans-serif;" class="">Edward Doddridge </span></b></span><span style="font-size: 12pt; font-family: Tahoma, sans-serif;" class="">(he/him)</span><o:p class=""></o:p></div>
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<span class="apple-style-span"><span style="font-size: 10pt; font-family: Tahoma, sans-serif;" class=""><a href="http://www.doddridge.me" style="color: blue; text-decoration: underline;" class="">www.doddridge.me</a></span></span><span style="font-size: 12pt; font-family: Palatino;" class=""><o:p class=""></o:p></span></div>
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On 18 Jun 2021, at 05:11, MICHAEL A SPALL <<a href="mailto:mspall@whoi.edu" style="color: blue; text-decoration: underline;" class="">mspall@whoi.edu</a>> wrote:<o:p class=""></o:p></div>
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<span style="font-size: 12pt; font-family: Palatino-Roman, serif;" class="">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 class=""></o:p></span></div>
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<span style="font-size: 12pt; font-family: Palatino-Roman, serif;" class="">Mike<o:p class=""></o:p></span></div>
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<span style="font-size: 12pt; font-family: Palatino-Roman, serif;" class="">On 6/17/21 3:08 PM, Jeffery R Scott wrote:<o:p class=""></o:p></span></div>
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<span style="font-size: 12pt; font-family: Palatino-Roman, serif;" class="">Hi David,<o:p class=""></o:p></span></div>
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<span style="font-size: 12pt; font-family: Palatino-Roman, serif;" class="">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 class=""></o:p></span></div>
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<span style="font-size: 12pt; font-family: Palatino-Roman, serif;" class="">but not sure why they were originally chosen as such. Perhaps Ed can recall?<o:p class=""></o:p></span></div>
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<span style="font-size: 12pt; font-family: Palatino-Roman, serif;" class="">Jeff<o:p class=""></o:p></span></div>
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<b class="">From:</b><span class="apple-converted-space"> </span>MITgcm-support<span class="apple-converted-space"> </span><a href="mailto:mitgcm-support-bounces@mitgcm.org" style="color: blue; text-decoration: underline;" class=""><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" style="color: blue; text-decoration: underline;" class=""><dfer@mit.edu></a><br class="">
<b class="">Sent:</b><span class="apple-converted-space"> </span>Thursday, June 17, 2021 2:33 PM<br class="">
<b class="">To:</b><span class="apple-converted-space"> </span><a href="mailto:mitgcm-support@mitgcm.org" style="color: blue; text-decoration: underline;" class="">mitgcm-support@mitgcm.org</a><br class="">
<b class="">Subject:</b><span class="apple-converted-space"> </span>[MITgcm-support] Awkward parameters in tutorial_reentrant_channel<span style="font-size: 12pt; font-family: Palatino-Roman, serif;" class=""><o:p class=""></o:p></span></div>
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<span class="s1"><span style="font-size: 8.5pt; font-family: Menlo;" class="">Hi all,</span></span><span style="font-size: 8.5pt; font-family: Menlo;" class=""><o:p class=""></o:p></span></div>
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<span class="s1"><span style="font-size: 8.5pt; font-family: Menlo;" class=""> </span></span><span style="font-size: 8.5pt; font-family: Menlo;" class=""><o:p class=""></o:p></span></div>
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<span class="s1"><span style="font-size: 8.5pt; font-family: Menlo;" class="">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;" class=""><o:p class=""></o:p></span></div>
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<span class="s1"><span style="font-size: 8.5pt; font-family: Menlo;" class=""># Coriolis parameter</span></span><span style="font-size: 8.5pt; font-family: Menlo;" class=""><o:p class=""></o:p></span></div>
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<span class="apple-converted-space"><span style="font-size: 8.5pt; font-family: Menlo;" class=""> </span></span><span class="s1"><span style="font-size: 8.5pt; font-family: Menlo;" class="">f0=-1.363e-4,</span></span><span style="font-size: 8.5pt; font-family: Menlo;" class=""><o:p class=""></o:p></span></div>
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<span class="apple-converted-space"><span style="font-size: 8.5pt; font-family: Menlo;" class=""> </span></span><span class="s1"><span style="font-size: 8.5pt; font-family: Menlo;" class="">beta=1.313e-11,</span></span><span style="font-size: 8.5pt; font-family: Menlo;" class=""><o:p class=""></o:p></span></div>
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<span class="s1"><span style="font-size: 8.5pt; font-family: Menlo;" class="">fo corresponds to a latitude of 70S, while beta corresponds to 55S.</span></span><span style="font-size: 8.5pt; font-family: Menlo;" class=""><o:p class=""></o:p></span></div>
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<span style="font-size: 8.5pt; font-family: Menlo;" class="">No big deal, but curious if this intentional and if so why. Artificially reinforcing beta effect?<o:p class=""></o:p></span></div>
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<span style="font-size: 8.5pt; font-family: Menlo;" class="">Cheers,<o:p class=""></o:p></span></div>
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<span style="font-size: 8.5pt; font-family: Menlo;" class="">David<o:p class=""></o:p></span></div>
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<pre style="margin: 0in; font-size: 10pt; font-family: "Courier New";" class="">_______________________________________________<o:p class=""></o:p></pre>
<pre style="margin: 0in; font-size: 10pt; font-family: "Courier New";" class="">MITgcm-support mailing list<o:p class=""></o:p></pre>
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<pre style="margin: 0in; font-size: 10pt; font-family: "Courier New"; caret-color: rgb(0, 0, 0); font-variant-caps: normal; text-align: start; -webkit-text-stroke-width: 0px; word-spacing: 0px;" class=""><span style="font-size: 12pt;" class="">-- <o:p class=""></o:p></span></pre>
<pre style="margin: 0in; font-size: 10pt; font-family: "Courier New";" class=""><span style="font-size: 12pt;" class="">Michael Spall<o:p class=""></o:p></span></pre>
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<pre style="margin: 0in; font-size: 10pt; font-family: "Courier New";" class=""><span style="font-size: 12pt;" class=""><o:p class=""> </o:p></span></pre>
<pre style="margin: 0in; font-size: 10pt; font-family: "Courier New";" class=""><span style="font-size: 12pt;" class="">MS #21<o:p class=""></o:p></span></pre>
<pre style="margin: 0in; font-size: 10pt; font-family: "Courier New";" class=""><span style="font-size: 12pt;" class="">Woods Hole Oceanographic Institution<o:p class=""></o:p></span></pre>
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<pre style="margin: 0in; font-size: 10pt; font-family: "Courier New";" class=""><span style="font-size: 12pt;" class="">Woods Hole, MA 02543<o:p class=""></o:p></span></pre>
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