| Efficient implementation of high-order WENO schemes with sharing function for solving Euler equations | |
Liu, Shengping1; Shen YQ(申义庆)2,3 ; Guo, Shaodong1; Yong, Heng1; Ni, Guoxi1
| |
| Corresponding Author | Yong, Heng([email protected]) |
| Source Publication | COMPUTERS & FLUIDS
 |
| 2023-01-30 | |
| Volume | 251Pages:9 |
| ISSN | 0045-7930 |
| Abstract | 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. |
| Keyword | Euler equations WENO Sharing function Common-weights |
| DOI | 10.1016/j.compfluid.2022.105746 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000897039400001 |
| WOS Keyword | ESSENTIALLY NONOSCILLATORY SCHEMES ; RIEMANN PROBLEM |
| WOS Research Area | Computer Science ; Mechanics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Mechanics |
| Funding Project | 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] |
| Funding Organization | National Key R&D Pro-gram of China ; NSAF ; Key Laboratory of Nuclear Data foundation ; National Natural Science Foundation of China |
| Classification | 二类 |
| Ranking | 2 |
| Contributor | Yong, Heng |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/91300 |
| Collection | 高温气体动力学国家重点实验室 |
| Affiliation | 1.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China; 2.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China; 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China |
| Recommended Citation 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.Rp_Au:Yong, Heng |
| 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. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| Jp2023Fa069.pdf（3550KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment