Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2008

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

Abstract

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 and versions

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

Identifiers

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

Cite

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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