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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Article dans une revue
Computers and Fluids, Elsevier, 2011, 47 (1), pp.51-64. 〈10.1016/j.compfluid.2011.02.013〉
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https://hal.inria.fr/hal-00654634
Contributeur : Jacques Sainte-Marie <>
Soumis le : jeudi 22 décembre 2011 - 15:17:46
Dernière modification le : jeudi 11 janvier 2018 - 06:20:06

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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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