The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2021

The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation

Abstract

In this paper, we propose a numerical scheme for the layer-averaged Euler with variable density and the Navier-Stokes-Fourier systems presented in part I (Boittin et al., 2018). These systems model hydrostatic free surface flows with density variations. We show that the finite volume scheme presented is well balanced with regards to the steady state of the lake at rest and preserves the positivity of the water height. A maximum principle on the density is also proved as well as a discrete entropy inequality in the case of the Euler system with variable density. Some numerical validations are finally shown with comparisons to 3D analytical solutions and experiments.
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Dates and versions

hal-02510722 , version 1 (18-03-2020)
hal-02510722 , version 2 (23-09-2021)

Identifiers

  • HAL Id : hal-02510722 , version 2

Cite

Léa Boittin, François Bouchut, Marie-Odile Bristeau, Anne Mangeney, Jacques Sainte-Marie, et al.. The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation. 2021. ⟨hal-02510722v2⟩
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