A phase-field method for three-phase flows with icing

Phase Field Modeling and Simulation of Three-phase Flows

Abstract. In this paper, we derive a thermodynamically consistent phase-field model for flows containing three (or more) liquid components. The model is based on a Navier-Stokes (NS) and Cahn-Hilliard system (CH) which accounts for surface tension among the different components and three-phase contact lines. We develop a stable conservative, second order accurate fully implicit discretization o...

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

For interface-tracking simulation of two-phase flows, we propose a new computational method, NS-PFM, combining Navier-Stokes (NS) equations with phase-field model (PFM). Based on the free energy theory, PFM describes an interface as a volumetric zone across which physical properties vary continuously. Surface tension is defined as an excessive free energy per unit area induced by density gradie...

A Parallelizable Method for Two - Phase Flows

An efficient moving mesh spectral method for the phase-field model of two-phase flows

We develop in this paper a moving mesh spectral method for the phase-field model of twophase flows with non-periodic boundary conditions. The method is based on a variational moving mesh PDE for the phase function, coupled with efficient semi-implicit treatments for advancing the mesh function, the phase function and the velocity and pressure in a decoupled manner. Ample numerical results are p...

A numerical method for two phase flows with insoluble surfactants

Article history: Received 14 February 2011 Received in revised form 11 May 2011 Accepted 17 May 2011 Available online 30 May 2011