A 3D projection scheme for incompressible multiphase flows using dynamic front refinement and reconnection

Tong Chen*, Peter Dimitrov Minev, Krishnaswamy Nandakumar

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Scopus citations

Abstract

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.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsIvan Lirkov, Svetozar Margenov, Jerzy Waśniewski, Plamen Yalamov
PublisherSpringer Verlag
Pages17-24
Number of pages8
ISBN (Print)3540210903, 9783540210900
DOIs
StatePublished - 2004
Externally publishedYes

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2907
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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