The capturing of free surfaces in incompressible multi-fluid flows

Dartzi Pan, Chih Hao Chang

Research output: Contribution to journalArticlepeer-review

64 Citations (Scopus)


By treating it as a contact discontinuity in the density field, a free surface between two immiscible fluids can be automatically 'captured' by the enforcement of conservation laws. A surface-capturing method of this kind requires no special tracking or fitting treatment for the free surface, thereby offering the advantage of algorithm simplicity over the surface-tracking or the surface-fitting method. A surface-capturing method based on a new multi-fluid incompressible Navier-Stokes formulation is developed. It is applied to a variety of free-surface flows, including the Rayleigh-Taylor instability problem, the ship waves around a Wigley hull and a model bubble-rising problem to demonstrate the validity and versatility of the present method. Copyright (C) 2000 John Wiley and Sons, Ltd.

Original languageEnglish
Pages (from-to)203-222
Number of pages20
JournalInternational Journal for Numerical Methods in Fluids
Issue number2
Publication statusPublished - 2000

All Science Journal Classification (ASJC) codes

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


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