A phase-field method for interface-tracking simulation of two-phase flows

For interface-tracking simulation of two-phase flows with a high density ratio, we propose a computational method, NS-PFM, combining Navier-Stokes (NS) equations with phase-field model (PFM) based on the free energy theory. Through the numerical simulations, it was confirmed that (1) the volume flux derived from chemical potential gradient in the Cahn-Hilliard equation of PFM plays an important role in advection and reconstruction of interface, and (2) the NS-PFM gives good predictions for the motions of immiscible, incompressible, isothermal two-phase fluid, such as air-water system, without using conventional interface-tracking techniques.

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