Title :

Stability and convergence of an hybrid finite volume-finite element method for a multiphasic incompressible fluid model

Author(s) :

Calgaro, Caterina [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Ezzoug, Meriem [Auteur]
Département de Mathématiques [Monastir]
Zahrouni, Ezzeddine [Auteur]
Département de Mathématiques [Monastir]
Université de Carthage (Tunisie) [UCAR]

Journal title :

Communications on Pure and Applied Analysis

Pages :

429-448

Publisher :

AIMS American Institute of Mathematical Sciences

Publication date :

2018-03

ISSN :

1534-0392

English keyword(s) :

convergence
stability
Finite Volume method
Finite Element method
Kazhikhov-Smagulov model

HAL domain(s) :

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

English abstract : [en]

In this paper, we construct a fully discrete numerical scheme for approximating a two-dimensional multiphasic incompressible fluid model, also called the Kazhikhov-Smagulov model. We use a first-order time discretization ...
Show more >In this paper, we construct a fully discrete numerical scheme for approximating a two-dimensional multiphasic incompressible fluid model, also called the Kazhikhov-Smagulov model. We use a first-order time discretization and a splitting in time to allow us the construction of an hybrid scheme which combines a Finite Volume and a Finite Element method. Consequently, at each time step, one only needs to solve two decoupled problems, the first one for the density and the second one for the velocity and pressure. We will prove the stability of the scheme and the convergence towards the global in time weak solution of the model.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

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