… We review the phase field (otherwise called diffuse interface) model for fluid flows, where
all quantities, such as density and composition, are assumed to vary continuously in space. …

… phases and/or components. This method is not only used to model interfacial phenomena
typical to multiphase flows … thermodynamic rigor in the paradigm of the phase field method. …

… simulating three-dimensional multiphase turbulent flows with a phase-field method, we …
Our phase-field method is built on top of a direct numerical simulation solver, named AFiD (…

… brief review on the phasefield-based LBM for multiphase flows. Although the phasefield-based
LBM has gained great success in the study of the complex multiphase flows, there are still …

… are many multiphase flow phenomena with three or more phases; … express multiphase
flow with three or more phases. … multiphase flow that includes an arbitrary number of phases, …

… of dealing with unknown moving interfaces, multiphase flows are challenging to study from
… The two main approaches to simulating multiphase and multi-component flows are interface …

… where w is the free energy density of the phase field; W is the total free energy of the phase
field; λ is the coefficient of mixed energy density; and F(ϕ) is the free energy of bulk phases. …

… Phase field models offer a systematic physical approach for investigating complex multiphase
… transition regions (diffuse interfaces), phase field simulations require resolution of very thin …

… The phase field theory falls naturally into the one-fluid multiple component formulation [35].
In this paper, we focus on the nonreactive phase field theory. We consider a phase field …

… insights into electro-hydrodynamic multi-phase flows. In the present paper we propose …
phase field model for studying two-phase electro-hydrodynamic flow generated by an electric field…