An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows

doi:10.1142/S0219876217500591

	An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows
	Shah, Abdullah 1; Saeed, Sadia 1; Yuan, L.2,3
	2017-10-01
发表期刊	INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
ISSN	0219-8762
卷号	14 期号:5 页码:14
摘要	In this work, a numerical scheme based on artificial compressibility formulation of a phase-field model is developed for simulating two-phase incompressible flow problems. The coupled nonlinear systems composed of the incompressible Navier-Stokes equations and volume preserving Allen-Cahn-type phase-field equation are recast into conservative form with source terms, which are suited to implement high-resolution schemes originally developed for hyperbolic conservation laws. The Boussinesq approximation is used to account for the buoyancy effect in flow with small density difference. The fifth-order weighted essentially nonoscillatory (WENO) scheme is used for discretizing the convective terms while dual-time stepping (DTS) technique is used for obtaining time accuracy at each physical time step. Beam-Warming approximate factorization scheme is utilized to obtain block tridiagonal system of equations in each spatial direction. The alternating direction implicit (ADI) algorithm is used to solve the resulting system of equations. The performance of the method is demonstrated by its application to some 2D and 3D benchmark viscous two-phase flow problems.
关键词	Two-phase flow phase-field model incompressible Navier-Stokes equations artificial compressibility method Boussinesq approximation
DOI	10.1142/S0219876217500591
语种	英语
资助项目	TWAS-UNESCO Associateship Scheme ; Chinese Academy of Sciences and COMSATS Institute of Information Technology ; state key program for developing basic sciences[2010CB731505] ; NSFC[11321061] ; NSFC[11261160486] ; FRCA[MJ-F-2012-04]
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000406273500012
出版者	WORLD SCIENTIFIC PUBL CO PTE 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/26166
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, Park Rd, Islamabad, Pakistan 2.Chinese Acad Sci, Acad Math & Syst 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,Saeed, Sadia,Yuan, L.. An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS,2017,14(5):14.
APA	Shah, Abdullah,Saeed, Sadia,&Yuan, L..(2017).An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows.INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS,14(5),14.
MLA	Shah, Abdullah,et al."An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows".INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS 14.5(2017):14.