[MITgcm-support] state vector of MIT model

[Alistair Adcroft]

eta is only unnecessary if you have a rigid-lid. With linear or 
non-linear free-surface you need eta.

samar khatiwala wrote:
> Alistair, thanks.
> 
> Is eta necessary if I don't use nonlinear free surface or exact
> conservation.
> 
> I guess my question really is: which variables can I independently
> perturb in a consistent way (i.e., while satisfying the governing
> equations).
> 
> Samar
> 
> On Fri, 14 Jan 2005, Alistair Adcroft wrote:
> 
> 
>>I think it is   U,V,T,S,eta
>>
>>W can be found from W
>>rho from S,T
>>P can be found from eta,rho
>>
>>A.
>>
>>samar khatiwala wrote:
>>
>>>Hello
>>>
>>>I am trying to make a list of the variables that define the state space
>>>of the MIT model. That is, I want to (notionally) write the model as:
>>>
>>>dx/dt = F(x) + external forcing
>>>
>>>where x(t) is the state vector.
>>>
>>>Assuming the model is hydrostatic, so far I have the following in x:
>>>
>>>   uVel,vVel,wVel,theta,salt,pressure
>>>
>>>Do I also need eta, or is that only if I have a nonlinear free surface?
>>>What about pressure? Is is strictly necessary, or can it be determined
>>>(in principle) from the other variables?
>>>Can someone please tell me if I am missing anything?
>>>
>>>Thanks, Samar
>>>_______________________________________________
>>>MITgcm-support mailing list
>>>MITgcm-support at mitgcm.org
>>>http://dev.mitgcm.org/mailman/listinfo/mitgcm-support
>>
>>
>>--
>>Dr Alistair Adcroft            http://www.mit.edu/~adcroft
>>MIT Climate Modeling Initiative        tel: (617) 253-5938
>>EAPS 54-1624,  77 Massachusetts Ave,  Cambridge,  MA,  USA
>>_______________________________________________
>>MITgcm-support mailing list
>>MITgcm-support at mitgcm.org
>>http://dev.mitgcm.org/mailman/listinfo/mitgcm-support
>>
> 
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-- 
Dr Alistair Adcroft            http://www.mit.edu/~adcroft
MIT Climate Modeling Initiative        tel: (617) 253-5938
EAPS 54-1624,  77 Massachusetts Ave,  Cambridge,  MA,  USA