Efficient implementation of high-order WENO schemes with sharing function for solving Euler equations
文献类型：期刊论文
| 作者 | Liu, Shengping3; Shen YQ(申义庆)1,2 ; Guo, Shaodong3; Yong, Heng3; Ni, Guoxi3
|
| 刊名 | COMPUTERS & FLUIDS
 |
| 出版日期 | 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 |
| WOS关键词 | ESSENTIALLY NONOSCILLATORY SCHEMES ; RIEMANN PROBLEM |
| 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 |
| 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. |
入库方式： OAI收割
来源：力学研究所
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