A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids

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216 Scopus citations


A balanced force refined level set grid method for two-phase flows on structured and unstructured flow solver grids is presented. To accurately track the phase interface location, an auxiliary, high-resolution equidistant Cartesian grid is introduced. In conjunction with a dual-layer narrow band approach, this refined level set grid method allows for parallel, efficient grid convergence and error estimation studies of the interface tracking method. The Navier-Stokes equations are solved on an unstructured flow solver grid with a novel balanced force algorithm for level set methods based on the recently proposed method by Francois et al. [M.M. Francois, S.J. Cummins, E.D. Dendy, D.B. Kothe, J.M. Sicilian, M.W. Williams, A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework, J. Comput. Phys. 213 (2006) 141-173] for volume of fluid methods on structured grids. To minimize spurious currents, a second order converging curvature evaluation technique for level set methods is presented. The results of several different test cases demonstrate the effectiveness of the proposed method, showing good mass conservation properties and second order converging spurious current magnitudes.

Original languageEnglish (US)
Pages (from-to)2674-2706
Number of pages33
JournalJournal of Computational Physics
Issue number4
StatePublished - Feb 1 2008



  • 47.20.Dr
  • 47.20.Ma
  • 47.35.Pq
  • 47.55.Ca
  • 68.03.g
  • Curvature evaluation
  • Grid refinement
  • Level set method
  • Rayleigh-Taylor
  • Spurious currents
  • Surface tension
  • Surface wave
  • Two-phase flow

ASJC Scopus subject areas

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

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