[MITgcm-support] questions about non-hydrostiatic module

[Jean-Michel Campin]

Hi Pengyang,

Regarding question 1, I think a "Delta t" is missing there.
Thanks for pointing to this.
But probably better to keep u**, v** & w** (not wrong) to remain
closer to what is done in the code.

And regarding question 2, the fluid is incompressible, so the 
continuity equation has to be satisfied as well as the prognostic equation for w(n+1).
In the analytical form, the system of equations guarantees both.
And indeed, when/if the solver converges perfectly, the two equations
give the same answer.

Cheers,
Jean-Michel

On Thu, Sep 21, 2017 at 07:45:58AM +0000, ??? ?????? wrote:
> Hi all,
> 
> I am reading the manual of MITgcm about non-hydrostatic part. Here are 
> some questions:
> 
> http://mitgcm.org/public/r2_manual/latest/online_documents/node39.html
> 
> 1.  In equation 2.68, is it written by mistake at the right side? By 
> Marshall et al.(1997), it should be Gu, Gv, Gw instead of u**, v**, w**.
> 
> 2.  In equation 2.71, in non-hydrostatic scheme, w should be prognostic 
> instead of diagnostic, should it be something like w(n+1)=w(*)+dt * ( 
> \partial_z p_nh ) ?
> 
> Regards,
> 
> Pengyang Song
> 
> Ocean University of China
> 
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