Details

Autor(en) / Beteiligte

• Calgaro, Caterina
• Creusé, Emmanuel
• Goudon, Thierry

Titel

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

Ist Teil von

• Journal of computational physics, 2008-04, Vol.227 (9), p.4671-4696

Ort / Verlag

Amsterdam: Elsevier Inc

Erscheinungsjahr

2008

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.