funwave a hydrostatic or non-hydrostatic ?

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Zheng Jing

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May 18, 2022, 3:42:18 AM5/18/22
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Dear FUNWAVE groups,

I have a question.

Does FUNWAVE a non-hydrostatic model or hydrostatic?

Since in the pressure equation they consider the vertical vorticity, it looks non-hydrostatic.

Thank you for your help.

Best regards,
Jing

Kirby, James T

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May 18, 2022, 8:07:48 AM5/18/22
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Jing,

Funwave is a weakly dispersive, Boussinesq type model.  This falls in between a shallow water model (non-dispersive, hydrostatic) and a general 3D nonhydrostatic model, which can be fully dispersive.  A second-order (i.e., accurate to O((kh)^2) ) , one-layer Boussinesq model such as Funwave (and others) is roughly comparable to one-layer nonhydrostatic models, such as Neowave or the nonhydrostatic option in XBeach.  Each will have varying degrees of accuracy. 

Vertical vorticity can be present in all of these models - that is not limited by the choice of hydrostatic vs nonhydrostatic.

Jim

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Jim Kirby
Center for Applied Coastal Research
Univ. of Delaware, Newark, DE 19716
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