Simulation of two-phase flow with moving immersed boundaries

✍ Scribed by M. Holmvall; S. B. Lindström; T. Uesaka

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 207 KB
• Volume: 67
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.2484

✦ Synopsis

Abstract

A two‐dimensional multi‐phase model for immiscible binary fluid flow including moving immersed objects is presented. The fluid motion is described by the incompressible Navier–Stokes equation coupled with a phase‐field model based on van der Waals' free energy density and the Cahn–Hilliard equation. A new phase‐field boundary condition was implemented with minimization of the free energy in a direct way, to specifically improve the physical behavior of the contact line dynamics for moving immersed objects. Numerical stability and execution time were significantly improved by the use of the new boundary condition. Convergence toward the analytical solution was demonstrated for equilibrium contact angle, the Lucas–Washburn theory and Stefan's problem. The proposed model may be used for multi‐phase flow problems with moving boundaries of complex geometry, such as the penetration of fluid into a deformable, porous medium. Copyright © 2010 John Wiley & Sons, Ltd.