A mesh-dependent model for applying dynamic contact angles to VOF simulations

S. Afkhami, S. Zaleski, M. Bussmann

Research output: Contribution to journalArticlepeer-review

208 Scopus citations


Typical VOF algorithms rely on an implicit slip that scales with mesh refinement, to allow contact lines to move along no-slip boundaries. As a result, solutions of contact line phenomena vary continuously with mesh spacing; this paper presents examples of that variation. A mesh-dependent dynamic contact angle model is then presented, that is based on fundamental hydrodynamics and serves as a more appropriate boundary condition at a moving contact line. This new boundary condition eliminates the stress singularity at the contact line; the resulting problem is thus well-posed and yields solutions that converge with mesh refinement. Numerical results are presented of a solid plate withdrawing from a fluid pool, and of spontaneous droplet spread at small capillary and Reynolds numbers.

Original languageEnglish (US)
Pages (from-to)5370-5389
Number of pages20
JournalJournal of Computational Physics
Issue number15
StatePublished - Aug 20 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


  • Contact angle
  • Contact line
  • Dynamic contact angle
  • Slip length
  • VOF


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