An hybrid finite volume-finite element method for variable density incompressible flows

JOURNAL OF COMPUTATIONAL PHYSICS

卷:227

Article

Calgaro, Caterina^2,3  Creuse, Emmanuel^1,3  Goudon, Thierry^2,3 

[1] Univ Valenciennes & Hainaut Cambresis, FR CNRS 2956, Lab Math & Appl Valenciennes, F-59313 Valenciennes 09, France

[2] Univ Sci & Tech Lille Flandres Artois, CNRS, UMR 8524, Lab Paul Painleve, F-59655 Villeneuve Dascq, France

[3] Ctr Rech INRIA Futurs, Equipe Projet SIMPAF, F-59658 Villeneuve Dascq, France

关键词: incompressible Navier-Stokes equations;    variable density flows;    finite element method;    finite volume method;    Rayleigh-Taylor instability;   

DOI  :  10.1016/j.jcp.2008.01.017

来源: Elsevier

【 摘 要 】

This paper is devoted to the numerical simulation of variable density incompressible flows, modeled by the Navier-Stokes system. We introduce an hybrid scheme which combines a finite volume approach for treating the mass conservation equation and a finite element method to deal with the momentum equation and the divergence free constraint. The breakthrough relies on the definition of a suitable footbridge between the two methods, through the design of compatibility condition. In turn, the method is very flexible and allows to deal with unstructured meshes. Several numerical tests are performed to show the scheme capabilities. In particular, the viscous Rayleigh-Taylor instability evolution is carefully investigated. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free