Height functions for applying contact angles to 2D VOF simulations

S. Afkhami, M. Bussmann

Research output: Contribution to journalArticlepeer-review

97 Scopus citations


Recent work on a consistent representation of surface tension and on the accurate computation of interface curvature has extended the applicability of the volume-of-fluid, or VOF, method to surface tension-driven phenomena. We have extended these methodologies to interfaces near solid surfaces; specifically, we show how height functions can be used to enforce a contact angle boundary condition at a contact line, for the full range of contact angles. As such, this work may be viewed as following up on the methodology of Renardy et al. (J. Comput. Phys. 2001; 171:243-263). This approach yields accurate values of curvature and the surface tension force at contact lines, values that converge with mesh refinement. The efficacy of the methodology is demonstrated using 2D examples of static fluid configurations in equilibrium and dynamic contact line phenomena that approach known equilibrium configurations.

Original languageEnglish (US)
Pages (from-to)453-472
Number of pages20
JournalInternational Journal for Numerical Methods in Fluids
Issue number4
StatePublished - Jun 10 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


  • Contact angle
  • Contact line
  • Height function
  • VOF
  • Volume of fluid


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