Rapport (Rapport De Recherche) Année : 2008

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

Résumé

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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Dates et versions

inria-00232824 , version 1 (01-02-2008)
inria-00232824 , version 2 (15-02-2008)
inria-00232824 , version 3 (18-02-2008)

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Identifiants

  • HAL Id : inria-00232824 , version 3
  • ARXIV : 0802.0250

Citer

Jacques Sainte-Marie, Marie-Odile Bristeau. Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems. [Research Report] RR-6451, INRIA. 2008, pp.33. ⟨inria-00232824v3⟩
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