Title :

Simulations of non homogeneous viscous flows with incompressibility constraints

Author(s) :

Calgaro, Caterina [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Creusé, Emmanuel [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Goudon, Thierry [Auteur]
COmplex Flows For Energy and Environment [COFFEE]
Krell, Stella [Auteur]
COmplex Flows For Energy and Environment [COFFEE]

Journal title :

MATHEMATICS AND COMPUTERS IN SIMULATION

Pages :

201-225

Publisher :

Elsevier

Publication date :

2017-07

ISSN :

0378-4754

English keyword(s) :

Non homogenous viscous flows
Mixtures
Navier–Stokes equations
Multifluid flows
Finite volume methods

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]

English abstract : [en]

This presentation is an overview on the development of numerical methods for the simulation of non homogeneous flows with incompressibility constraints. We are particularly interested in systems of PDEs describing certain ...
Show more >This presentation is an overview on the development of numerical methods for the simulation of non homogeneous flows with incompressibility constraints. We are particularly interested in systems of PDEs describing certain mixture flows, like the Kazhikhov–Smagulov system which can be used to model powder–snow avalanches. It turns out that the Incompressible Navier–Stokes system with variable density is a relevant step towards the treatment of such models, and it allows us to bring out some interesting numerical difficulties. We should handle equations of different types, roughly speaking transport and diffusion equations. We present two strategies based on time–splitting. The former relies on a hybrid approach, coupling Finite Volume and Finite Element methods. The latter extends Discrete Duality Finite Volume schemes for such non homogeneous flows. The methods are confronted to exact solutions and to the simulation of Rayleigh–Taylor instabilities.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL