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<p class="MsoNormal"><span lang="EN-US">Thanks for your reply,</span><span lang="EN-US" style="font-size:10.0pt"> Jean-Michel.</span></p>
<p class="MsoListParagraph" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo1">
<![if !supportLists]><span lang="EN-US"><span style="mso-list:Ignore">1.<span style="font:7.0pt "Times New Roman"">
</span></span></span><![endif]><span lang="EN-US">Sorry, I didn’t understand what you mean by “Delta t”. I think that u** and v** is a correction of u* and v* by surface elevation, which still has a dimention of velocity (m/s) , but what is needed on the right
side of Eq.(2.68) is a dimention of acceleration (m/s^2). Did you mean \partial_t?</span></p>
<p class="MsoListParagraph" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo1">
<![if !supportLists]><span lang="EN-US"><span style="mso-list:Ignore">2.<span style="font:7.0pt "Times New Roman"">
</span></span></span><![endif]><span lang="EN-US">I think to MITgcm, it is more safe to calulate by continuity, because nonhydrostatic pressure is solved by a method of iteration, errors can always exist. However, continuity is a strong constraint to stability,
compared to forward integration. Just personal idea.</span></p>
<p class="MsoNormal"><span lang="EN-US">Regards,</span></p>
<p class="MsoNormal"><span lang="EN-US">Pengyang Song</span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
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Today's Topics:<br>
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1. Re: questions about non-hydrostiatic module (Jean-Michel Campin)<br>
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----------------------------------------------------------------------<br>
<br>
Message: 1<br>
Date: Thu, 21 Sep 2017 18:50:03 -0400<br>
From: Jean-Michel Campin <jmc@mit.edu><br>
To: mitgcm-support@mitgcm.org<br>
Subject: Re: [MITgcm-support] questions about non-hydrostiatic module<br>
Message-ID: <20170921225003.GA6558@ocean.mit.edu><br>
Content-Type: text/plain; charset=iso-8859-1<br>
<br>
Hi Pengyang,<br>
<br>
Regarding question 1, I think a "Delta t" is missing there.<br>
Thanks for pointing to this.<br>
But probably better to keep u**, v** & w** (not wrong) to remain<br>
closer to what is done in the code.<br>
<br>
And regarding question 2, the fluid is incompressible, so the <br>
continuity equation has to be satisfied as well as the prognostic equation for w(n+1).<br>
In the analytical form, the system of equations guarantees both.<br>
And indeed, when/if the solver converges perfectly, the two equations<br>
give the same answer.<br>
<br>
Cheers,<br>
Jean-Michel<br>
<br>
On Thu, Sep 21, 2017 at 07:45:58AM +0000, ??? ?????? wrote:<br>
> Hi all,<br>
> <br>
> I am reading the manual of MITgcm about non-hydrostatic part. Here are <br>
> some questions:<br>
> <br>
> <a href="http://mitgcm.org/public/r2_manual/latest/online_documents/node39.html">
http://mitgcm.org/public/r2_manual/latest/online_documents/node39.html</a><br>
> <br>
> 1.? In equation 2.68, is it written by mistake at the right side? By <br>
> Marshall et al.(1997), it should be Gu, Gv, Gw instead of u**, v**, w**.<br>
> <br>
> 2.? In equation 2.71, in non-hydrostatic scheme, w should be prognostic <br>
> instead of diagnostic, should it be something like w(n+1)=w(*)+dt * ( <br>
> \partial_z p_nh ) ?<br>
> <br>
> Regards,<br>
> <br>
> Pengyang Song<br>
> <br>
> Ocean University of China<br>
> <br>
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