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Journal Articles Computers and Fluids Year : 2011

Numerical simulations of a non-hydrostatic Shallow Water model

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Abstract

For geophysical flows, the Saint-Venant system is often a good approximation of the Navier-Stokes equa- tions and so it is widely used for the simulations of shallow water flows and gravity waves. But the Saint- Venant system fails to represent the non-hydrostatic effects such as those associated for example with dispersive waves. To overcome this limitation, we propose an extended version of the Saint-Venant sys- tem and an associated finite volume scheme for the numerical simulations. The proposed model has sev- eral interesting properties e.g. it admits an energy balance and it preserves the dynamics of solitary waves. Several numerical results are given and especially comparisons between simulations and exper- imental measurements.
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Dates and versions

hal-00654634 , version 1 (22-12-2011)

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Marie-Odile Bristeau, Nicole Goutal, Jacques Sainte-Marie. Numerical simulations of a non-hydrostatic Shallow Water model. Computers and Fluids, 2011, 47 (1), pp.51-64. ⟨10.1016/j.compfluid.2011.02.013⟩. ⟨hal-00654634⟩
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