Numerical solution of a phase field model for incompressible two-phase flows based on artificial compressibility

doi:10.1016/j.compfluid.2010.10.021

	Numerical solution of a phase field model for incompressible two-phase flows based on artificial compressibility
	Shah, Abdullah 1; Yuan, Li2,3
	2011-03-01
发表期刊	COMPUTERS & FLUIDS
ISSN	0045-7930
卷号	42 期号:1 页码:54-61
摘要	We present an artificial compressibility based numerical method for a phase field model for simulating two-phase incompressible viscous flows. The phase model was proposed by Liu and Shen [Physica D. 179 (2003) 211-228], in which the interface between two fluids is represented by a thin transition region of fluid mixture that stores certain amount of mixing energy. The model consists of the Navier-Stokes equations coupled with the Allen-Cahn equation (phase field equation) through an extra stress term and a transport term. The extra stress in the momentum equations represents the phase-induced capillary effect for the mixture due to the surface tension. The coupled equations are cast into a conservative form suitable for implementation with the artificial compressibility method. The resulting hyperbolic system of equations are then discretized with weighted essentially non-oscillatory (WENO) finite difference scheme. The dual-time stepping technique is applied for obtaining time accuracy at each physical time step, and the approximate factorization algorithm is used to solve the discretized equations. The effectiveness of the numerical method is demonstrated in several two-phase flow problems with topological changes. Numerical results show the present method can be used to simulate incompressible two-phase flows with small interfacial width parameters and topological changes. (C) 2010 Elsevier Ltd. All rights reserved.
关键词	Two-phase flow Phase field model Incompressible Navier-Stokes equations Artificial compressibility WENO scheme
DOI	10.1016/j.compfluid.2010.10.021
语种	英语
资助项目	Natural Science Foundation of China[10729101] ; Natural Science Foundation of China[10972230] ; state key program for developing basic sciences[2005CB321703] ; state key program for developing basic sciences[2010CB731505]
WOS研究方向	Computer Science ; Mechanics
WOS类目	Computer Science, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000287285200006
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11748
专题	计算数学与科学工程计算研究所
通讯作者	Shah, Abdullah
作者单位	1.COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan 2.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Shah, Abdullah,Yuan, Li. Numerical solution of a phase field model for incompressible two-phase flows based on artificial compressibility[J]. COMPUTERS & FLUIDS,2011,42(1):54-61.
APA	Shah, Abdullah,&Yuan, Li.(2011).Numerical solution of a phase field model for incompressible two-phase flows based on artificial compressibility.COMPUTERS & FLUIDS,42(1),54-61.
MLA	Shah, Abdullah,et al."Numerical solution of a phase field model for incompressible two-phase flows based on artificial compressibility".COMPUTERS & FLUIDS 42.1(2011):54-61.