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题名

Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme

作者
通讯作者Chu, Shaoshuai
发表日期
2021-11-01
DOI
发表期刊
ISSN
0885-7474
EISSN
1573-7691
卷号89期号:2
摘要
We develop new hybrid numerical algorithms for compressible multicomponent fluids problem. The fluid components are assumed to be immiscible and are separated by material interface. We track the location of the interface using the level set approach and replace the energy equation in the original model with the corresponding pressure equation in its neighborhoods. In these neighboring areas we solve the resulting nonconservative system using a path-conservative central-upwind scheme, while in the rest of the computational domain, a central-upwind scheme is used to numerically solve the original conservative system. We first develop a finite-volume method of the second order and then extend it to the fifth order via the finite-difference alternative WENO (A-WENO) framework. In order to reduce oscillations, we switch from A-WENO back to second-order central-upwind scheme in certain nonsmooth parts of the computational solution. We illustrate the performance of the new hybrid methods on a number of one- and two-dimensional examples including the shock-bubble interaction tests.
关键词
相关链接[来源记录]
收录类别
SCI ; EI
语种
英语
学校署名
通讯
资助项目
NSF[DMS-1818684] ; NSFC[11771201,1201101343] ; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001]
WOS研究方向
Mathematics
WOS类目
Mathematics, Applied
WOS记录号
WOS:000707010400001
出版者
EI入藏号
20214311042936
EI主题词
Computational methods ; Natural sciences computing
EI分类号
Data Processing and Image Processing:723.2 ; Numerical Methods:921.6
ESI学科分类
MATHEMATICS
来源库
Web of Science
引用统计
被引频次[WOS]:1
成果类型期刊论文
条目标识符http://sustech.caswiz.com/handle/2SGJ60CL/254181
专题理学院_数学系
深圳国际数学中心(杰曼诺夫数学中心)(筹)
作者单位
1.North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
3.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Dept Math, Shenzhen 518055, Peoples R China
4.Southern Univ Sci & Technol, Guangdong Prov Key Lab Computat Sci & Mat Design, Shenzhen 518055, Peoples R China
通讯作者单位数学系
推荐引用方式
GB/T 7714
Chertock, Alina,Chu, Shaoshuai,Kurganov, Alexander. Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme[J]. JOURNAL OF SCIENTIFIC COMPUTING,2021,89(2).
APA
Chertock, Alina,Chu, Shaoshuai,&Kurganov, Alexander.(2021).Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme.JOURNAL OF SCIENTIFIC COMPUTING,89(2).
MLA
Chertock, Alina,et al."Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme".JOURNAL OF SCIENTIFIC COMPUTING 89.2(2021).
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