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

Abstract : Two viscous stabilization methods, namely the spectral vanishing viscosity (SVV) technique and the entropy viscosity method (EVM), are applied to ows of interest in geophysics. First, following a study restricted to one space dimension [1], the spectral element approximation of the shallow water equations is stabilized using the EVM. Our recent advances are here carefully described. Second, the SVV technique is used for the large-eddy simulation of the spatial and temporal development of the turbulent wake of a sphere in a strati ed uid [2]. We conclude with a parallel between these two stabilization techniques.
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Contributor : Richard Pasquetti <>
Submitted on : Monday, October 3, 2016 - 2:27:13 PM
Last modification on : Thursday, May 3, 2018 - 1:32:58 PM
Long-term archiving on: Friday, February 3, 2017 - 2:27:48 PM

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  • HAL Id : hal-01361347, version 1

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Richard Pasquetti. Viscous stabilizations for high order approximations of Saint-Venant and Boussinesq flows. ICOSAHOM 2016, Jun 2016, Rio de Janeiro, Brazil. ⟨hal-01361347v1⟩

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