Name
Title | ||
|---|---|---|
A stabilized finite element method using a discontinuous level set approach for solving two phase incompressible flows |
Abstract | ||
|---|---|---|
A numerical method for the simulation of three-dimensional incompressible two-phase flows is presented. The proposed algorithm combines an implicit pressure stabilized finite element method for the solution of incompressible two-phase flow problems with a level set method implemented with a quadrature-free discontinuous Galerkin (DG) method [E. Marchandise, J.-F. Remacle, N. Chevaugeon, A quadrature free discontinuous Galerkin method for the level set equation, Journal of Computational Physics 212 (2006) 338-357]. The use of a fast contouring algorithm [N. Chevaugeon, E. Marchandise, C. Geuzaine, J.-F. Remacle, Efficient visualization of high order finite elements, International Journal for Numerical Methods in Engineering] permits us to localize the interface accurately. By doing so, we can compute the discontinuous integrals without neither introducing an interface thickness nor reinitializing the level set. The capability of the resulting algorithm is demonstrated with ''large scale'' numerical examples (free surface flows: dam break, sloshing) and ''small scale'' ones (two phase Poiseuille, Rayleigh-Taylor instability). |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.jcp.2006.04.015 | J. Comput. Physics |
Keywords | Field | DocType |
discontinuous level set approach,free surface,e. marchandise,finite element method,two-phase flow model,level set method,fast contouring algorithm,proposed algorithm,numerical method,3d incompressible navier–stokes,level set equation,phase incompressible flow,discontinuous integral,level set,3d incompressible navier-stokes,discontinuous galerkin,n. chevaugeon,three dimensional,discontinuous galerkin method,incompressible flow,two phase flow,rayleigh taylor instability,finite element | Discontinuous Galerkin method,Mathematical optimization,Level set method,Mathematical analysis,Finite element method,Incompressible flow,Quadrature (mathematics),Numerical analysis,Pressure-correction method,Mathematics,Hagen–Poiseuille equation | Journal |
Volume | Issue | ISSN |
219 | 2 | Journal of Computational Physics |
Citations | PageRank | References |
18 | 1.55 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Emilie Marchandise | 1 | 94 | 11.45 |
| Jean-François Remacle | 2 | 247 | 37.52 |