摘要
In this paper,we review the recent development of phase-field models and their numerical methods for multi-component fluid flows with interfacial phenomena.The models consist of a Navier-Stokes system coupled with a multi-component Cahn-Hilliard system through a phase-field dependent surface tension force,variable density and viscosity,and the advection term.The classical infinitely thin boundary of separation between two immiscible fluids is replaced by a transition region of a small but finite width,across which the composition of the mixture changes continuously.A constant level set of the phase-field is used to capture the interface between two immiscible fluids.Phase-field methods are capable of computing topological changes such as splitting andmerging,and thus have been applied successfully to multi-component fluid flows involving large interface deformations.Practical applications are provided to illustrate the usefulness of using a phase-field method.Computational results of various experiments show the accuracy and effectiveness of phase-field models.
基金
supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education,Science and Technology(No.331-2008-1-C00044).
