18-21 June 2018
Europe/Paris timezone

THE INCOMPRESSIBLE NAVIER-STOKES SYSTEM WITH FREE SURFACE AND VARIABLE DENSITY

18 Jun 2018, 17:30
30m
Présentation orale Session 1

Speaker

Léa Boittin (Inria ; CEREMA ; Sorbonne Université, LJLL ; CNRS UMR 7598)

Description

We are interested in the numerical approximation of hydrostatic free surface flows with variable density. Such variable density flows occur when fresh water and sea water mix, in estuaries for instance; or when cold water mixes with warm water. We begin by writing the Navier-Stokes model with variable density, where the local density is a function of a tracer. A multilayer discretization of the system is performed, for which an energy balance is obtained. A kinetic interpretation of the multilayer system then allows to formulate a finite volume kinetic scheme. The numerical properties of the scheme are studied. 3D simulations are shown. One of our applications is the flow occurring when a tide lock between sea water and fresh water opens.

Primary author

Léa Boittin (Inria ; CEREMA ; Sorbonne Université, LJLL ; CNRS UMR 7598)

Co-authors

Anne Mangeney (IPGP) Emmanuel Audusse (LAGA, Université Paris XIII) Fabien Souillé (Inria ; CEREMA ; Sorbonne Université, LJLL ; CNRS UMR 7598) François Bouchut (LAMA, Université Paris-Est) Jacques Sainte-Marie (Inria ; CEREMA ; Sorbonne Université, LJLL)

Presentation Materials