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3D Free Surface Flows Simulations Using a Multilayer Saint-Venant Model. Comparisons with Navier-Stokes Solutions

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • E. Audusse

    (Domaine de Voluceau, INRIA)

  • M.O. Bristeau

    (Domaine de Voluceau, INRIA)

  • A. Decoene

    (INRIA and LNHE, EDF)

Abstract

We present a multilayer Saint-Venant system for the simulation of 3D free surface flows. A precise analysis of the shallow water assumption leads to a set of coupled Saint-Venant type systems. For each time dependent layer, a Saint-Venant type system is solved on the same 2D mesh by a kinetic solver using a finite volume framework. We validate the model by comparisons with Navier-Stokes solutions.

Suggested Citation

  • E. Audusse & M.O. Bristeau & A. Decoene, 2006. "3D Free Surface Flows Simulations Using a Multilayer Saint-Venant Model. Comparisons with Navier-Stokes Solutions," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 181-189, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-34288-5_10
    DOI: 10.1007/978-3-540-34288-5_10
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