This paper presents a 3D finite element method for incompressible multiphase flows with capillary interfaces based on a (formally) second-order projection scheme. The discretization is on a fixed reference (Eulerian) grid with an edge-based local h-refinement. The fluid phases are identified and advected using a level set function. The reference grid is then temporarily reconnected around the interfaces in order to maintain optimal interpolations accounting for the singularities. This method is simple and efficient, as demonstrated by the numerical examples on several free-surface problems.
|Title of host publication||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)|
|Editors||Ivan Lirkov, Svetozar Margenov, Jerzy Waśniewski, Plamen Yalamov|
|Number of pages||8|
|ISBN (Print)||3540210903, 9783540210900|
|State||Published - 2004|
|Name||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)|