A numerical method for three-dimensional gas-liquid flow computations

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A numerical method for multiphase flow computations based on a finite-difference formulation with a fixed grid is described. The method combines ideas from front tracking and the Ghost Fluid Method, with a numerical technique for velocity extrapolation near the interface. It is shown that the method is able to solve three-dimensional free-surface flow problems with an incompressible liquid and a compressible gas maintaining the interface sharp. Numerical results are compared with numerical solutions of the Rayleigh¿Plesset equation for the free oscillation of a gas bubble, and independent front-tracking results for buoyant bubbles. Finally, the effects of an imposed sinusoidal liquid flow on a gas bubble are investigated.
Original languageUndefined
Pages (from-to)126-144
Number of pages19
JournalJournal of computational physics
Issue number1
Publication statusPublished - 2004


  • Two phase flow
  • Numerical method
  • IR-47809
  • METIS-218702
  • Computational Fluid Dynamics
  • Front tracking
  • Bubble

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