Premium
A two‐phase flow interface capturing finite element method
Author(s) -
Devals C.,
Heniche M.,
Bertrand F.,
Tanguy P. A.,
Hayes R. E.
Publication year - 2006
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1303
Subject(s) - finite element method , interface (matter) , upwind scheme , advection , flow (mathematics) , mathematics , petrov–galerkin method , phase (matter) , mesh generation , two phase flow , galerkin method , adaptive mesh refinement , computer science , mechanics , algorithm , mathematical analysis , computational science , geometry , physics , engineering , structural engineering , bubble , quantum mechanics , maximum bubble pressure method , discretization , thermodynamics
A new interface capturing algorithm is proposed for the finite element simulation of two‐phase flows. It relies on the solution of an advection equation for the interface between the two phases by a streamline upwind Petrov–Galerkin (SUPG) scheme combined with an adaptive mesh refinement procedure and a filtering technique. This method is illustrated in the case of a Rayleigh–Taylor two‐phase flow problem governed by the Stokes equations. Copyright © 2006 John Wiley & Sons, Ltd.