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.
CITATION STYLE
Audusse, E., Bristeau, M. O., & Decoene, A. (2007). 3D Free Surface Flows Simulations Using a Multilayer Saint-Venant Model. Comparisons with Navier-Stokes Solutions. In Numerical Mathematics and Advanced Applications (pp. 181–189). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-34288-5_10
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