A projection scheme for incompressible multiphase flow using adaptive Eulerian grid: 3D validation

Tong Chen, P. D. Minev*, Kumar Nandakumar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

A three-dimensional finite element method for incompressible multiphase flows with capillary interfaces is developed based on a (formally) second-order projection scheme. The discretization is on a fixed (Eulerian) reference grid with an edge-based local h-refinement in the neighbourhood of the interfaces. The fluid phases are identified and advected using the level-set function. The reference grid is then temporarily reconnected around the interface to maintain optimal interpolations accounting for the singularities of the primary variables. Using a time splitting procedure, the convection substep is integrated with an explicit scheme. The remaining generalized Stokes problem is solved by means of a pressure-stabilized projection. This method is simple and efficient, as demonstrated by a wide range of difficult free-surface validation problems, considered in the paper.

Original languageEnglish
Pages (from-to)455-466
Number of pages12
JournalInternational Journal for Numerical Methods in Fluids
Volume48
Issue number4
DOIs
StatePublished - 10 Jun 2005
Externally publishedYes

Keywords

  • Finite element method
  • Free-boundary flows
  • Navier-Stokes equations

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