Height functions for applying contact angles to 3D VOF simulations

S. Afkhami, M. Bussmann

Research output: Contribution to journalArticlepeer-review

73 Scopus citations


A rigorous methodology is presented for applying a contact angle as a contact line boundary condition within a 3D volume-of-fluid-based flow algorithm, based on the recently developed height function methodology that yields accurate interface normals and curvatures from volume fractions. We demonstrate that the approach yields accurate estimates of curvature and surface tension at a contact line, values that converge with spatial refinement. We then study the efficacy of this approach via examples of both static and dynamic contact line phenomena.

Original languageEnglish (US)
Pages (from-to)827-847
Number of pages21
JournalInternational Journal for Numerical Methods in Fluids
Issue number8
StatePublished - Nov 2009
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
  • Surface tension
  • VOF
  • Volume-of-fluid


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