Viscous stabilizations for high order approximations of Saint-Venant and Boussinesq flows

Description

Two viscous stabilization methods, namely the spectral vanishing viscosity (SVV) techniqueand the entropy viscosity method (EVM), are applied to flows of interest in geophysics. First,following a study restricted to one space dimension, the spectral element approximation ofthe shallow water equations is stabilized using the EVM. Our recent advances are here carefullydescribed. Second, the SVV technique is used for the large-eddy simulation of the spatial andtemporal development of the turbulent wake of a sphere in a stratified fluid. We concludewith a parallel between these two stabilization techniques.

Abstract

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