An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic euler equations | |
Peng J(彭峻)1,2; Zhai CL1; Ni GX1; Yong H1; Shen YQ(申义庆)2 | |
发表期刊 | COMPUTERS & FLUIDS |
2019-01-30 | |
卷号 | 179页码:34-51 |
ISSN | 0045-7930 |
摘要 | Due to its excellent shock-capturing capability and high resolution, the WENO scheme family has been widely used in varieties of compressive flow simulation. However, for problems containing strong shocks and contact discontinuities, such as the Lax shock tube problem, the WENO scheme still produces numerical oscillations. To avoid such numerical oscillations, the characteristic-wise construction method should be applied. Compared to component-wise reconstruction, characteristic-wise reconstruction leads to much higher computational cost and thus is not suitable for large scale simulation such as direct numerical simulation of turbulence. In this paper, an adaptive characteristic-wise reconstruction WENO-Z scheme, i.e. the AdaWENO-Z scheme, is proposed to improve the computational efficiency of the characteristic-wise reconstruction method. By defining shared smoothness functions, shared smoothness indicators as well as shared WENO weights are firstly introduced to reduce the computational cost of the component-wise reconstruction procedure and to define a global switch function capable of detecting discontinuity. According to the given switch function, the new scheme performs characteristic-wise reconstruction near discontinuities and switches to component-wise reconstruction for smooth regions. Several one dimensional and two dimensional numerical tests are performed to validate and evaluate the AdaWENO-Z scheme. Numerical results show that AdaWENO-Z maintains essentially non-oscillatory flow field near discontinuities as with the characteristic-wise reconstruction method. Besieds, compared to the component-wise reconstruction method, AdaWENO-Z is about 20% to 40% faster which indicates its excellent efficiency. (C) 2018 Published by Elsevier Ltd. |
关键词 | WENO scheme Characteristic-wise reconstruction Adaptive method Euler equations |
DOI | 10.1016/j.compfluid.2018.08.008 |
URL | 查看原文 |
收录类别 | SCI ; EI |
语种 | 英语 |
WOS记录号 | WOS:000467514000004 |
关键词[WOS] | ESSENTIALLY NONOSCILLATORY SCHEMES ; DIRECT NUMERICAL-SIMULATION ; HIGH-ORDER |
WOS研究方向 | Computer Science ; Mechanics |
WOS类目 | Computer Science, Interdisciplinary Applications ; Mechanics |
资助项目 | SCP[TZ2016002] ; NSAF[U1530145] ; Postdoctoral Science Foundation of China[2017M610822] |
项目资助者 | SCP ; NSAF ; Postdoctoral Science Foundation of China |
论文分区 | 二类 |
力学所作者排名 | 1 |
RpAuthor | Yong, Heng |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/79197 |
专题 | 高温气体动力学国家重点实验室 |
作者单位 | 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 |
推荐引用方式 GB/T 7714 | Peng J,Zhai CL,Ni GX,et al. An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic euler equations[J]. COMPUTERS & FLUIDS,2019,179:34-51. |
APA | Peng J,Zhai CL,Ni GX,Yong H,&Shen YQ.(2019).An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic euler equations.COMPUTERS & FLUIDS,179,34-51. |
MLA | Peng J,et al."An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic euler equations".COMPUTERS & FLUIDS 179(2019):34-51. |
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