In this paper, we review and compare the level set, phase-field, and immersed boundary methods for incompressible two-phase flows. The models are based on modified Navier–Stokes and interface evolution equations. We present the basic concepts behind these approaches and discuss the advantages and disadvantages of each method. We also present numerical solutions of the three methods and perform characteristic numerical experiments for two-phase fluid flows.
Level Set, Phase-Field, and Immersed Boundary Methods for Two-Phase Fluid Flows
Zhengzhou Institute of Aeronautical
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received June 7, 2013; final manuscript received October 8, 2013; published online November 22, 2013. Assoc. Editor: Samuel Paolucci.
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Hua, H., Shin, J., and Kim, J. (November 22, 2013). "Level Set, Phase-Field, and Immersed Boundary Methods for Two-Phase Fluid Flows." ASME. J. Fluids Eng. February 2014; 136(2): 021301. https://doi.org/10.1115/1.4025658
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