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

Authors:
Naoki Takada;Masaki Misawa;Akio Tomiyama
Affiliations:
National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki, Japan;National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki, Japan;Graduate School of Science and Technology, Kobe University, Kobe, Hyogo, Japan
Venue:
Mathematics and Computers in Simulation - Special issue: Discrete simulation of fluid dynamics in complex systems
Year:
2006

Citing 6
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Abstract

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.