Computation of moving boundaries and interfaces and stabilization parameters

Research output: Contribution to journalArticle

349 Citations (Scopus)

Abstract

The interface-tracking and interface-capturing techniques we developed in recent years for computation of flow problems with moving boundaries and interfaces rely on stabilized formulations such as the streamline-upwind/Petrov-Galerkin (SUPG) and pressure-stabilizing/Petrov-Galerkin (PSPG) methods. The interface-tracking techniques are based on the deforming-spatial-domain/stabilized space-time formulation, where the mesh moves to track the interface. The interface-capturing techniques, typically used with non-moving meshes, are based on a stabilized semi-discrete formulation of the Navier-Stokes equations, combined with a stabilized formulation of the advection equation governing the time-evolution of an interface function marking the interface location. We provide an overview of the interface-tracking and interface-capturing techniques, and highlight how we determine the stabilization parameters used in the stabilized formulations.

Original languageEnglish
Pages (from-to)555-575
Number of pages21
JournalInternational Journal for Numerical Methods in Fluids
Volume43
Issue number5
DOIs
Publication statusPublished - 2003 Oct 20
Externally publishedYes

Keywords

  • Moving boundaries and interfaces
  • SUPG and PSPG formulations
  • Stabilization parameters

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

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