A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows

doi:10.4208/cicp.201209.161010a

	A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows
	Liu, Wei 2; Yuan, Li2 ; Shu, Chi-Wang 1
	2011-10-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	10 期号:4 页码:785-806
摘要	A conservative modification to the ghost fluid method (GFM) is developed for compressible multiphase flows. The motivation is to eliminate or reduce the conservation error of the GFM without affecting its performance. We track the conservative variables near the material interface and use this information to modify the numerical solution for an interfacing cell when the interface has passed the cell. The modification procedure can be used on the GFM with any base schemes. In this paper we use the fifth order finite difference WENO scheme for the spatial discretization and the third order TVD Runge-Kutta method for the time discretization. The level set method is used to capture the interface. Numerical experiments show that the method is at least mass and momentum conservative and is in general comparable in numerical resolution with the original GFM.
关键词	WENO scheme ghost fluid method (GFM) mass conservation multiphase flow
DOI	10.4208/cicp.201209.161010a
语种	英语
资助项目	NSFC[10531080] ; NSFC[10972230] ; 973 project[2005CB321703] ; 973 project[2010CB731505] ; ARO[W911NF-08-1-0520] ; NSF[DMS-0809086]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000298764000001
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12499
专题	计算数学与科学工程计算研究所
通讯作者	Shu, Chi-Wang
作者单位	1.Brown Univ, Div Appl Math, Providence, RI 02912 USA 2.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	Liu, Wei,Yuan, Li,Shu, Chi-Wang. A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2011,10(4):785-806.
APA	Liu, Wei,Yuan, Li,&Shu, Chi-Wang.(2011).A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,10(4),785-806.
MLA	Liu, Wei,et al."A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 10.4(2011):785-806.