Numerical simulations of a non-hydrostatic Shallow Water model

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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Journal articles
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https://hal.inria.fr/hal-00654634
Contributor : Jacques Sainte-Marie <>
Submitted on : Thursday, December 22, 2011 - 3:17:46 PM
Last modification on : Tuesday, May 14, 2019 - 10:11:11 AM

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

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