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<div>Hi Ying,</div>
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<div>ADVe_TH and DFeE_TH are E-W components rotated from the corresponding variables on v4 native grid (ADVx_TH, ADVy_TH, DFxE_TH and DFyE_TH). To close budget, one should use the latter.</div>
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<div>ECCO v4 uses 3rd-order Direct Space and Time (DST-3) advection scheme (see GAD_DST3_ADV_X.F and&nbsp;GAD_DST3_ADV_Y.F). In essences, the formula for advective fluxes is sum of u x theta x area of cell face, plus some higher order terms. DFxE contains the explicit
 part of all non-advective terms causing the temperature change.&nbsp;</div>
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<div>Ou Wang&nbsp;</div>
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<span style="font-weight:bold">From: </span>&lt;<a href="mailto:ecco-support-bounces@mit.edu">ecco-support-bounces@mit.edu</a>&gt; on behalf of &quot;<a href="mailto:Ying.Zhang@csiro.au">Ying.Zhang@csiro.au</a>&quot; &lt;<a href="mailto:Ying.Zhang@csiro.au">Ying.Zhang@csiro.au</a>&gt;<br>
<span style="font-weight:bold">Reply-To: </span>&quot;ECCO support list, wider membership&quot; &lt;<a href="mailto:ecco-support@mit.edu">ecco-support@mit.edu</a>&gt;<br>
<span style="font-weight:bold">Date: </span>Monday, February 20, 2017 at 6:56 PM<br>
<span style="font-weight:bold">To: </span>&quot;<a href="mailto:ecco-support@mit.edu">ecco-support@mit.edu</a>&quot; &lt;<a href="mailto:ecco-support@mit.edu">ecco-support@mit.edu</a>&gt;<br>
<span style="font-weight:bold">Subject: </span>[ecco-support] variables of ECCOv4<br>
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<p class="MsoNormal">Dear Sir or Madam,<o:p></o:p></p>
<p class="MsoNormal">I am Ying, a Ph.D student studying in the CSIRO. Recently, I have been doing some research about the heat budget of the Indian Ocean. However, there some are problem with me. I do not what formula the ADVe_TH and DFeE_TH based on? Is the
 ADVe_TH calculated by &lt;u*theta&gt;*area of the cell? It didn’t match that, if I calculated based on &lt;u*theta&gt;*area of the cell. So I just wandering the formula of the the ADVe_TH and DFeE_TH. I would greatly appreciate that. Thank you so much.<o:p></o:p></p>
<p class="MsoNormal">Sincerely,<o:p></o:p></p>
<p class="MsoNormal">Ying. <o:p></o:p></p>
<p class="MsoNormal"><o:p>&nbsp;</o:p></p>
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