Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems

Details Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems

2008-02-02

arxiv.org/abs/0802.0250v3

Mathematics

Numerical Analysis

Scientific paper

From the free surface Navier-Stokes system, we derive the non-hydrostatic
Saint-Venant system for the shallow waters including friction and viscosity.
The derivation leads to two formulations of growing complexity depending on the
level of approximation chosen for the fluid pressure. The obtained models are
compared with the Boussinesq models.

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