Efficient implementation of high-order WENO schemes with sharing function for solving Euler equations

doi:10.1016/j.compfluid.2022.105746

CORC > 力学研究所 > 中国科学院力学研究所 > 高温气体动力学国家重点实验室

	Efficient implementation of high-order WENO schemes with sharing function for solving Euler equations
	Liu, Shengping 3; Shen YQ(申义庆)1,2; Guo, Shaodong 3; Yong, Heng 3; Ni, Guoxi 3
刊名	COMPUTERS & FLUIDS
	2023-01-30
卷号	251 页码:9
关键词	Euler equations WENO Sharing function Common-weights
ISSN号	0045-7930
DOI	10.1016/j.compfluid.2022.105746
通讯作者	Yong, Heng(yong_heng@iapcm.ac.cn)
英文摘要	Due to the high-order accuracy and essentially non-oscillatory (ENO) property, the weighted ENO (WENO) schemes have a wide range of successful applications. The component-wise reconstruction WENO (CP WENO) scheme for fluxes or variables has simple formulations but it may produce numerical oscillations near discontinuities when solving the Euler equations. Although the characteristic-wise reconstruction WENO (CH WENO) scheme can reduce such oscillations, it involves too many characteristic projection operations. In this paper, first, we introduced a sharing function to indicate the discontinuities in the Euler equations and then constructed new adaptive characteristic-wise WENO (Ada-WENO) scheme and common-weights WENO (Co-WENO) scheme with this function. Several one and two dimensional problems are used to test the performances of Ada-WENO and Co-WENO. Numerical results show that, Ada-WENO can reduce the computational cost of CH WENO while maintaining its oscillation-free property since it only switches from CP WENO to CH WENO near discontinuities, and Co-WENO can reduce the cost and oscillations of CP WENO, but it may still generate few oscillations.
分类号	二类
资助项目	National Key R&D Pro-gram of China[U2230208] ; NSAF[JCKY2022201C155] ; Key Laboratory of Nuclear Data foundation[11872067] ; National Natural Science Foundation of China[12172364] ; [2022YFA1004500]
WOS关键词	ESSENTIALLY NONOSCILLATORY SCHEMES ; RIEMANN PROBLEM
WOS研究方向	Computer Science ; Mechanics
语种	英语
WOS记录号	WOS:000897039400001
资助机构	National Key R&D Pro-gram of China ; NSAF ; Key Laboratory of Nuclear Data foundation ; National Natural Science Foundation of China
其他责任者	Yong, Heng
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/91299]
专题	力学研究所_高温气体动力学国家重点实验室
作者单位	1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China; 3.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China;
推荐引用方式 GB/T 7714	Liu, Shengping,Shen YQ,Guo, Shaodong,et al. Efficient implementation of high-order WENO schemes with sharing function for solving Euler equations[J]. COMPUTERS & FLUIDS,2023,251:9.
APA	Liu, Shengping,申义庆,Guo, Shaodong,Yong, Heng,&Ni, Guoxi.(2023).Efficient implementation of high-order WENO schemes with sharing function for solving Euler equations.COMPUTERS & FLUIDS,251,9.
MLA	Liu, Shengping,et al."Efficient implementation of high-order WENO schemes with sharing function for solving Euler equations".COMPUTERS & FLUIDS 251(2023):9.