<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">Hi Ou,<div><br></div><div>could you please elaborate of why this is the case? When I look at Adcroft & Campin 2004 (A&C04), even in z* coordinates WVELMASS should have zero horizontal integral. If you look at eq 11 of A&C04, the continuity eqn has an extra term (independent of z) given by \eta_t, but I believe it also has zero area average, when you compare it to (12) in A&C04, because the area integral of E-P is also made to be zero in ECCO. Unless there is something to do with the ice, which is not covered in A&C04, I don’t see why <w> is not zero. </div><div><br></div><div>Can you please enlighten us?</div><div><br></div><div>Many thanks,<br class="Apple-interchange-newline"><div>
<meta charset="UTF-8"><div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div style="color: rgb(0, 0, 0); font-variant-caps: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px;"><span style="font-style: normal;">Paola<br></span><br></div></div></div></div><div><blockquote type="cite"><div>On Jun 27, 2024, at 2:17 AM, Wang, Ou (US 329B) <ou.wang@jpl.nasa.gov> wrote:</div><br class="Apple-interchange-newline"><div><meta charset="UTF-8"><div class="WordSection1" style="page: WordSection1; caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; 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; -webkit-text-stroke-width: 0px; text-decoration: none;"><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 11pt;">Hello Fabien,<o:p></o:p></span></div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 11pt;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 11pt;">You haven’t missed anything in your calculation. The horizontal integral of area-weighted vertical velocity (WVELMASS) across a particular vertical level does not necessarily equal zero.<o:p></o:p></span></div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 11pt;"><o:p> </o:p></span></div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 11pt;">Best regards,<o:p></o:p></span></div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 11pt;">Ou Wang<o:p></o:p></span></div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 11pt;"><o:p> </o:p></span></div><div id="mail-editor-reference-message-container"><div><div style="border-width: 1pt medium medium; border-style: solid none none; border-color: rgb(181, 196, 223) currentcolor currentcolor; border-image: none; padding: 3pt 0in 0in;"><p class="MsoNormal" style="margin: 0in 0in 12pt; font-size: 10pt; font-family: Aptos, sans-serif;"><b><span style="font-size: 12pt;">From:<span class="Apple-converted-space"> </span></span></b><span style="font-size: 12pt;">ecco-support <<a href="mailto:ecco-support-bounces@mit.edu">ecco-support-bounces@mit.edu</a>> on behalf of Fabien Roquet <<a href="mailto:fabien.roquet@gu.se">fabien.roquet@gu.se</a>><br><b>Date:<span class="Apple-converted-space"> </span></b>Monday, June 24, 2024 at 1:15</span><span style="font-size: 12pt; font-family: Arial, sans-serif;"> </span><span style="font-size: 12pt;">PM<br><b>To:<span class="Apple-converted-space"> </span></b><a href="mailto:ecco-support@mit.edu">ecco-support@mit.edu</a><span class="Apple-converted-space"> </span><<a href="mailto:ecco-support@mit.edu">ecco-support@mit.edu</a>><br><b>Subject:<span class="Apple-converted-space"> </span></b>[EXTERNAL] [ecco-support] Global integral of vertical momentum flux not zero?<o:p></o:p></span></p></div><div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 12pt;">Hello ECCO team,<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 12pt;">I have downloaded ECCO from PO.DAAC.<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 12pt;">Using WVELMASS from ECCO_L4_OCEAN_3D_VOLUME_FLUX_LLC0090GRID_DAILY_V4R4, multiplying with rA and summing along i, j, and tiles, I find the horizontal integral of w is not zero. Am I missing something?<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 12pt;">See picture for the vertical profile of w, which is of order several Sv.<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 12pt;">Thanks for your help,<br>Fabien<o:p></o:p></span></div></div><div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 12pt;"><o:p> </o:p></span></div></div><div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 12pt;"><o:p> </o:p></span></div></div><div><div style="margin: 0in; font-size: 10pt; font-family: Aptos, sans-serif;"><span style="font-size: 12pt;"><o:p> </o:p></span></div></div></div></div></div><span style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; 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; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">_______________________________________________</span><br style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; 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; -webkit-text-stroke-width: 0px; text-decoration: none;"><span style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; 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; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">ecco-support mailing list</span><br style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; 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; -webkit-text-stroke-width: 0px; text-decoration: none;"><a href="mailto:ecco-support@mit.edu" style="font-family: Helvetica; font-size: 18px; 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; -webkit-text-stroke-width: 0px;">ecco-support@mit.edu</a><br style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; 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; -webkit-text-stroke-width: 0px; text-decoration: none;"><a href="https://urldefense.com/v3/__https://mailman.mit.edu/mailman/listinfo/ecco-support__;!!Mih3wA!F3js16r7UFCi3b6f3giW1Du4FkBkxnz_LdmXCsVzCObpFpMuPUz5wIx3D_bJU7jLpR1a92ALcC7ZCCnkSxQ$" style="font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px;">https://urldefense.com/v3/__https://mailman.mit.edu/mailman/listinfo/ecco-support__;!!Mih3wA!F3js16r7UFCi3b6f3giW1Du4FkBkxnz_LdmXCsVzCObpFpMuPUz5wIx3D_bJU7jLpR1a92ALcC7ZCCnkSxQ$</a><span style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; 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; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;"></span><br style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; 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; -webkit-text-stroke-width: 0px; text-decoration: none;"></div></blockquote></div><br></div></body></html>