Interface-tracking and interface-capturing techniques for finite element computation of moving boundaries and interfaces

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Abstract

We provide an overview of some of the interface-tracking and interface-capturing techniques we developed for finite element computation of flow problems with moving boundaries and interfaces. This category of flow problems includes fluid-particle, fluid-object and fluid-structure interactions; free-surface and two-fluid flows; and flows with moving mechanical components. Both classes of techniques are based on stabilized formulations. The interface-tracking techniques are based on the deforming-spatial-domain/stabilized space-time (DSD/SST) formulation, where the mesh moves to track the interface. The interface-capturing techniques, developed primarily for free-surface and two-fluid interface flows, are formulated typically over non-moving meshes, using an advection equation in addition to the flow equations. The advection equation governs the evolution of an interface function that marks the location of the interface. We also highlight some of the methods we developed to increase the scope and accuracy of these two classes of techniques.

Original languageEnglish
Pages (from-to)2983-3000
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Volume195
Issue number23-24
DOIs
Publication statusPublished - 2006 Apr 15
Externally publishedYes

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Keywords

  • Enhanced discretization and solution
  • Interface-capturing
  • Interface-tracking
  • Moving boundaries and interfaces

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

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