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A central compact scheme for numerical solution of two-phase incompressible flow using Allen-Cahn phase field model
Rizwan, Muhammad1,2; Shah, Abdullah1; Yuan, Li2
2016-02-01
Source PublicationJOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
ISSN1678-5878
Volume38Issue:2Pages:433-441
AbstractThis article presents a numerical method for the Allen-Cahn phase field model coupled with the incompressible Navier-Stokes equations for simulating two-phase incompressible flow. The numerical method is based on the artificial compressibility method with dual-time stepping technique applied to the governing equations written in conservative form. The convective terms are approximated by using an eighth-order central compact scheme with filtering while the viscous terms are approximated by a sixth-order central compact scheme. Approximate factorization-based alternating direction implicit algorithm is used to solve the discretized linear system. The effectiveness of the method is demonstrated by computing several benchmark two-phase incompressible flow problems.
KeywordTwo-phase flow Phase field model Artificial compressibility Dual-time stepping Central compact scheme
DOI10.1007/s40430-015-0342-4
Language英语
Funding ProjectHigher Education Commission (HEC) of Pakistan ; NSFC[11261160486] ; NSFC[11321061] ; 973 Project[2010CB731505]
WOS Research AreaEngineering
WOS SubjectEngineering, Mechanical
WOS IDWOS:000372534200013
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22354
Collection计算数学与科学工程计算研究所
Affiliation1.COMSATS Inst Informat Technol, Dept Math, Pk Rd Chak Shahzad, Islamabad, Pakistan
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Rizwan, Muhammad,Shah, Abdullah,Yuan, Li. A central compact scheme for numerical solution of two-phase incompressible flow using Allen-Cahn phase field model[J]. JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING,2016,38(2):433-441.
APA Rizwan, Muhammad,Shah, Abdullah,&Yuan, Li.(2016).A central compact scheme for numerical solution of two-phase incompressible flow using Allen-Cahn phase field model.JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING,38(2),433-441.
MLA Rizwan, Muhammad,et al."A central compact scheme for numerical solution of two-phase incompressible flow using Allen-Cahn phase field model".JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING 38.2(2016):433-441.
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