Paper Info
Title
An hybrid finite volume-finite element method for variable density incompressible flows
Abstract
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.
Year
DOI
Venue
2008
10.1016/j.jcp.2008.01.017
J. Comput. Physics
Keywords
Field
DocType
finite element method,rayleigh-taylor instability.,compatibility condition,navier-stokes system,incompressible navier-stokes equations,finite volume method,76d05,variable density flows,76e17,hybrid finite volume-finite element,76m12,76m10,scheme capability,numerical test,variable density incompressible flow,hybrid scheme,rayleigh–taylor instability,65m99,momentum equation,finite volume approach,mass conservation equation,incompressible navier–stokes equations,numerical simulation,finite volume,mass conservation,incompressible flow,rayleigh taylor instability
Computer simulation,Mathematical analysis,Finite element method,Incompressible flow,Finite volume method,Conservation of mass,Mathematics,Pressure-correction method,Mixed finite element method,Navier–Stokes equations
Journal
Volume
Issue
ISSN
227
9
Journal of Computational Physics
Citations 
PageRank 
References 
12
0.94
7
Authors
3
Name
Order
Citations
PageRank
Caterina Calgaro1181.88
E. Creusé2184.59
Thierry Goudon35212.65