Abstract : In this paper we propose a strategy to approximate incompressible hydrostatic free surface Euler and Navier-Stokes models. The main advantage of the proposed models is that the water depth is a dynamical variable of the system and hence the model is formulated over a fixed domain.
The proposed strategy extends previous works approximating the Euler and Navier-Stokes systems using a multilayer description. Here, the needed closure relations are obtained using an energy-based optimality criterion instead of an asymptotic expansion. Moreover, the layer-averaged description is successfully applied to the Navier-Stokes system with a general form of the Cauchy stress tensor.
https://hal.inria.fr/hal-01202042
Contributeur : Jacques Sainte-Marie
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Soumis le : lundi 27 juin 2016 - 17:50:32
Dernière modification le : vendredi 31 août 2018 - 09:06:03
Marie-Odile Bristeau, Cindy Guichard, Bernard Di Martino, Jacques Sainte-Marie. Layer-averaged Euler and Navier-Stokes equations. Communications in Mathematical Sciences, International Press, 2017, 〈10.4310/CMS.2017.v15.n5.a3〉. 〈hal-01202042v3〉
