<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<style type="text/css" style="display:none;"> P {margin-top:0;margin-bottom:0;} </style>
</head>
<body dir="ltr">
<div style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);" class="elementToProof">
Hi Martin,</div>
<div style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);" class="elementToProof">
<br>
</div>
<div style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);" class="elementToProof">
Thanks for getting back to me on this. This is helpful!</div>
<div style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);" class="elementToProof">
<br>
</div>
<div style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);" class="elementToProof">
Flynn</div>
<div id="appendonsend"></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> MITgcm-support <mitgcm-support-bounces@mitgcm.org> on behalf of Martin Losch <Martin.Losch@awi.de><br>
<b>Sent:</b> 25 April 2023 9:44 AM<br>
<b>To:</b> MITgcm Support <mitgcm-support@mitgcm.org><br>
<b>Subject:</b> Re: [MITgcm-support] GMREDI without the small slope approximation</font>
<div> </div>
</div>
<div style="line-break:after-white-space">Hi Flynn,
<div><br>
</div>
<div>I am not really qualified to answer this, so take my comments with a grain of salt.
<div><br>
</div>
<div>As far as I can see, the missing tensor components (basically k12=Kuy and k21=Kvx) need to be defined and computed and you are right that these are small and straightforward changes to the code (gmredi_calc_tensor.F). But you will also need to code the
action of these tensor components on the \nabla(u) in the right place (k12*dv/dy in xtranport and k21*du/dy in ytransport?, involves some averaging of the derivatives). I find this hard to figure out, because there are so many different options in pkg/gmredi,
but it should be possible.</div>
<div><br>
</div>
<div>Martin<br>
<div><br>
<blockquote type="cite">
<div>On 21. Apr 2023, at 18:38, Flynn Ames <f.ames@pgr.reading.ac.uk> wrote:</div>
<br class="x_Apple-interchange-newline">
<div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
Dear MITgcm community,</div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
<br>
</div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
Hello - I'm wondering if anyone has ever tried implementing (or has implemented) GMREDI into the MITgcm without making the small slope approximation?</div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
<br>
</div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
This is something I would like to do as I'm modelling a deep, ice-covered ocean where the steep isopycnals that develop violate the small slope approximation over much of the domain.</div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
<br>
</div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
I may be being naive here, but looking at the MITgcm documentation, the terms that are neglected in the REDI projection tensor when making the small slope approximation appear to consist of quantities that are already computed in the model (Sx, Sy etc.).</div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
I'm hoping to ask: Does anyone know if it would just be a case of putting these extra terms into the REDI tensor in the model? or is there a lot that I'm missing here? - I'm guessing the latter :<span id="x_��">)</span></div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
<br>
</div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
Thank you for your time!</div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
Flynn</div>
<div class="x_elementToProof" style="font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; background-color:rgb(255,255,255)">
<br>
</div>
<span style="font-family:Helvetica; font-size:12px; font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; float:none; display:inline!important">_______________________________________________</span><br style="font-family:Helvetica; font-size:12px; font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none">
<span style="font-family:Helvetica; font-size:12px; font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none; float:none; display:inline!important">MITgcm-support
mailing list</span><br style="font-family:Helvetica; font-size:12px; font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none">
<a href="mailto:MITgcm-support@mitgcm.org" style="font-family:Helvetica; font-size:12px; font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; orphans:auto; text-align:start; text-indent:0px; text-transform:none; white-space:normal; widows:auto; word-spacing:0px">MITgcm-support@mitgcm.org</a><br style="font-family:Helvetica; font-size:12px; font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none">
<a href="http://mailman.mitgcm.org/mailman/listinfo/mitgcm-support" originalsrc="http://mailman.mitgcm.org/mailman/listinfo/mitgcm-support" shash="GdGF4av8tco0wYoBGyXl5GUg+qnzHp5+JeRR0xjrW0eZFivW0OAV0YH3pwfuPmIVHVqoeHg9dTfOJVFdoph0QXawXhk45hciDGgQ8Yd7n+ejFsdlc+QcJyv9uo2ZTkFI1n2AnFg0k/+VYQxS5JunPfLdK14DK1c6hW9tRLwZ2Mc=" style="font-family:Helvetica; font-size:12px; font-style:normal; font-variant-caps:normal; font-weight:400; letter-spacing:normal; orphans:auto; text-align:start; text-indent:0px; text-transform:none; white-space:normal; widows:auto; word-spacing:0px">http://mailman.mitgcm.org/mailman/listinfo/mitgcm-support</a></div>
</blockquote>
</div>
<br>
</div>
</div>
</div>
</body>
</html>