Name
Title | ||
|---|---|---|
A stabilized finite element method using a discontinuous level set approach for the computation of bubble dynamics |
Abstract | ||
|---|---|---|
A novel numerical method for solving three-dimensional two phase flow problems is presented. This method combines a quadrature free discontinuous Galerkin method for the level set equation with a pressure stabilized finite element method for the Navier Stokes equations. The main challenge in the computation of such flows is the accurate evaluation of surface tension forces. This involves the computation of the curvature of the fluid interface. In the context of the discontinuous Galerkin method, we show that the use of a curvature computed by means of a direct derivation of the level set function leads to inaccurate and oscillatory results. A more robust, second-order, least squares computation of the curvature that filters out the high frequencies and produces converged results is presented. This whole numerical technology allows to simulate a wide range of flow regimes with large density ratios, to accurately capture the shape of the deforming interface of the bubble and to maintain good mass conservation. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.jcp.2007.01.005 | J. Comput. Physics |
Keywords | Field | DocType |
bubble dynamics,discontinuous level set approach,surface tension,fluid interface,incompressible navier–stokes,finite element method,multiphase flow,bubble dynamic,discontinuous galerkin method,curvature,squares computation,deforming interface,flow regime,level set equation,novel numerical method,phase flow problem,level set function,level set,mass conservation,two phase flow,three dimensional,second order,least square,numerical method,high frequency,directional derivative | Discontinuous Galerkin method,Curvature,Mathematical analysis,Finite element method,Quadrature (mathematics),Numerical analysis,Two-dimensional flow,Mathematics,Navier–Stokes equations,Computation | Journal |
Volume | Issue | ISSN |
225 | 1 | Journal of Computational Physics |
Citations | PageRank | References |
14 | 1.73 | 8 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Emilie Marchandise | 1 | 94 | 11.45 |
| Philippe Geuzaine | 2 | 14 | 1.73 |
| Nicolas Chevaugeon | 3 | 63 | 9.17 |
| Jean-François Remacle | 4 | 247 | 37.52 |