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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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https://hal.inria.fr/inria-00232824
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Submitted on : Monday, February 18, 2008 - 9:53:30 AM
Last modification on : Monday, December 14, 2020 - 9:46:15 AM
Long-term archiving on: : Thursday, September 23, 2010 - 4:37:54 PM

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