Abstract

For interface-tracking simulation of incompressible two-phase fluids with a high density ratio, a numerical method based on the combination of a phase field model, Navier-Stokes equation, and a van-der-Waals Cahn-Hilliard (C-H) free energy was proposed in this study. The method was applied to several two-phase flow problems, by which it was confirmed that (1) the volume flux caused by a local chemical potential gradient in the C-H equation plays an important role in (a) volume conservation, (b) automatic reconstruction of gas-liquid interface, and (c) reduction of numerical diffusion and oscillation, (2) the proposed method gives good predictions of pressure increase inside a bubble caused by the surface tension force, and (3) a single liquid drop falling through a stagnant gas and merging into a stagnant liquid film was simulated well.

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