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An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows
Shah, Abdullah1; Saeed, Sadia1; Yuan, L.2,3
2017-10-01
Source PublicationINTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
ISSN0219-8762
Volume14Issue:5Pages:14
AbstractIn 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.
KeywordTwo-phase flow phase-field model incompressible Navier-Stokes equations artificial compressibility method Boussinesq approximation
DOI10.1142/S0219876217500591
Language英语
Funding ProjectTWAS-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 Research AreaEngineering ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000406273500012
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26166
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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