Layer-averaged Euler and Navier-Stokes equations
Numerical Analysis
2016-06-30 v3
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.
Cite
@article{arxiv.1509.06218,
title = {Layer-averaged Euler and Navier-Stokes equations},
author = {Marie-Odile Bristeau and Cindy Guichard and Bernard Di Martino and Jacques Sainte-Marie},
journal= {arXiv preprint arXiv:1509.06218},
year = {2016}
}