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

Authors:
Yue Hao;Andrea Prosperetti
Affiliations:
Department of Mechanical Engineering, The Johns Hopkins University, 223 Latrobe Hall, 3400 N. Charles St., Baltimore, MD;Dept. of Mech. Eng., The Johns Hopkins University, 223 Latrobe Hall, 3400 N. Charles St., Baltimore, MD and Dept. of Appl. Phys., Twente Inst. of Mech. and Burgerscentrum, Univ. of Twente, AE 7500 ...
Venue:
Journal of Computational Physics
Year:
2004

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Abstract

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.