KMS Of Academy of mathematics and systems sciences, CAS
| An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows | |
Shah, Abdullah1; Saeed, Sadia1; Yuan, L.2,3
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| 2017-10-01 | |
| Source Publication | INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
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| ISSN | 0219-8762 |
| Volume | 14Issue:5Pages:14 |
| Abstract | 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. |
| Keyword | Two-phase flow phase-field model incompressible Navier-Stokes equations artificial compressibility method Boussinesq approximation |
| DOI | 10.1142/S0219876217500591 |
| Language | 英语 |
| Funding Project | 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 Research Area | Engineering ; Mathematics |
| WOS Subject | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000406273500012 |
| Publisher | WORLD SCIENTIFIC PUBL CO PTE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26166 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Shah, Abdullah |
| Affiliation | 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 |
| 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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