[ecco-support] Global integral of vertical momentum flux not zero?

[Paola Cessi]

Hi Ou,

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. 

Can you please enlighten us?

Many thanks,
Paola

> On Jun 27, 2024, at 2:17 AM, Wang, Ou (US 329B) <ou.wang at jpl.nasa.gov> wrote:
> 
> Hello Fabien,
>  
> 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.
>  
> Best regards,
> Ou Wang
>  
> From: ecco-support <ecco-support-bounces at mit.edu <mailto:ecco-support-bounces at mit.edu>> on behalf of Fabien Roquet <fabien.roquet at gu.se <mailto:fabien.roquet at gu.se>>
> Date: Monday, June 24, 2024 at 1:15 PM
> To: ecco-support at mit.edu <mailto:ecco-support at mit.edu> <ecco-support at mit.edu <mailto:ecco-support at mit.edu>>
> Subject: [EXTERNAL] [ecco-support] Global integral of vertical momentum flux not zero?
> 
> Hello ECCO team,
> I have downloaded ECCO from PO.DAAC.
> 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?
> See picture for the vertical profile of w, which is of order several Sv.
> Thanks for your help,
> Fabien
>  
>  
>  
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