南方科技大学知识苑(SUSTech KC): Fifth-order a-weno finite-difference schemes based on a new adaptive diffusion central numerical flux

题名	Fifth-order a-weno finite-difference schemes based on a new adaptive diffusion central numerical flux
作者	Wang，Bao Shan 1; Don，Wai Sun 1; Garg，Naveen K.2,3 ; Kurganov，Alexander4
发表日期	2020-12-01
DOI	10.1137/20M1327926
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING 影响因子和分区
ISSN	1064-8275
EISSN	1095-7197
卷号	42 期号:6页码:A3932-A3956
摘要	A new adaptive diffusion central numerical flux within the framework of fifth-order characteristicwise alternative WENO-Z finite-difference schemes (A-WENO) with a modified local Lax-Friedrichs (LLF) flux for the Euler equations of gas dynamics is introduced. The new numerical flux adaptively adjusts the numerical diffusion coefficient present in the LLF flux. The coefficient is estimated by a suitable Rankine-Hugoniot condition, which gives a more accurate estimation of the local speed of propagation. To ensure robustness, lower and upper bounds of the coefficient are obtained with the help of the convection-pressure splitting of the Jacobian. The proposed adaptive A-WENO scheme is tested on several one- and two-dimensional benchmarks. The obtained results demonstrate that the use of the adaptive diffusion central numerical flux enhances the resolution of contact waves and improves significantly the resolution of fine-scale structures in the smooth areas of the solution while capturing shocks and high gradients in an essentially nonoscillatory manner.
关键词	A-WENO schemes Central schemes Rankine-Hugoniot condition
相关链接	[Scopus记录]
收录类别	SCI ; EI
语种	英语
学校署名	其他
WOS记录号	WOS:000600650400033
EI入藏号	20210209754842
EI主题词	Diffusion ; Gas dynamics
EI分类号	Gas Dynamics:631.1.2 ; Numerical Methods:921.6
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85098886740
来源库	Scopus
引用统计	被引频次[WOS]：18
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/221881
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.School of Mathematical Sciences,Ocean University of China,Qingdao,266100,China 2.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518055,China 3.IISc Mathematics Initiative (IMI),Indian Institute of Science,Bangalore,560012,India 4.Department of Mathematics and SUSTech International Center for Mathematics,Southern University of Science and Technology,Shenzhen,518055,China
推荐引用方式 GB/T 7714	Wang，Bao Shan,Don，Wai Sun,Garg，Naveen K.,et al. Fifth-order a-weno finite-difference schemes based on a new adaptive diffusion central numerical flux[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2020,42(6):A3932-A3956.
APA	Wang，Bao Shan,Don，Wai Sun,Garg，Naveen K.,&Kurganov，Alexander.(2020).Fifth-order a-weno finite-difference schemes based on a new adaptive diffusion central numerical flux.SIAM JOURNAL ON SCIENTIFIC COMPUTING,42(6),A3932-A3956.
MLA	Wang，Bao Shan,et al."Fifth-order a-weno finite-difference schemes based on a new adaptive diffusion central numerical flux".SIAM JOURNAL ON SCIENTIFIC COMPUTING 42.6(2020):A3932-A3956.