[MITgcm-support] vorticity balance

[Christopher Pitt Wolfe]

Matt & Marco:

If either of you happen to have the finite difference form of the vorticity equation written out (either as a document or as code), I think a lot of people would be interested in seeing it. I’ve worked out of few terms on my own, but I usually give up when I get to the advection terms … 

Cheers,
Christopher

> On Jan 31, 2015, at 12:50 PM, Matthew Mazloff <mmazloff at ucsd.edu <mailto:mmazloff at ucsd.edu>> wrote:
> 
> Hi Marco
> 
> I don't know your setup, but if your term from Eta vanishes then I don't think my comment pertains to you.
> 
> What I was referring to is the fact that in calculus
> P_{xy} - P_{yx} = 0
> 
> But when discretized such that DX is a function of y this will not equal to zero. This can be a lowest order term for coarse resolution spherical coordinate models.
> 
> I have argued to myself that given the pressure solver method of the model, it makes sense to group this contribution into the stretching term. I tell myself that as resolution increases and DX goes to zero this error will be reduced, and W will be larger… I am very interested to hear other thoughts on how to attribute this term.
> 
> Matt
> 
> 
> 
> On Jan 31, 2015, at 9:05 AM, marco reale <reale.marco82 at gmail.com <mailto:reale.marco82 at gmail.com>> wrote:
> 
>> Hi matt,
>> 
>> thanks a lot for the suggestion : my method computes correctly the stretching, diffusion and advection term : the term from the gradient of Eta vanishes  . I have only some problems with baroclinicity term : Do you refer to it when you talk about to pressure term?
>> 
>> cheers
>> 
>> Marco
>> 
>> 
>> 
>>> Il giorno 31/gen/2015, alle ore 18:00, mitgcm-support-request at mitgcm.org <mailto:mitgcm-support-request at mitgcm.org> ha scritto:
>>> 
>>>  note that if you are using spherical coordinates the discretization will cause the pressure term to not vanish, so you need to account for tha
>> 
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