| A new weighting method for improving the WENO-Z scheme | |
Liu SP(刘升平); Shen YQ(申义庆) ; Zeng FJ; Yu M
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| Source Publication | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
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| 2018-06-30 | |
| Volume | 87Issue:6Pages:271-291 |
| ISSN | 0271-2091 |
| Abstract | The calculation of the weight of each substencil is very important for a weighted essentially nonoscillatory (WENO) scheme to obtain high-order accuracy in smooth regions and keep the essentially nonoscillatory property near discontinuities. The weighting function introduced in the WENO-Z scheme provides a straightforward method to analyze the accuracy order in smooth regions. In this paper, we construct a new sixth-order global smoothness indicator (GSI-6) and a function about GSI-6 and the local smoothness indicators (ISk) to calculate the weights. The analysis and numerical results show that, with the new weights, the scheme satisfies the sufficient condition for the fifth-order convergence in smooth regions even at critical points. Meanwhile, it can also maintain low dissipation for discontinuous solutions due to relative large weights assigned to discontinuous substencils. |
| Keyword | Global Smoothness Indicator Low Numerical Dissipation Weighting Function Weno-z Scheme |
| DOI | 10.1002/fld.4490 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000433578400001 |
| WOS Keyword | ESSENTIALLY NONOSCILLATORY SCHEMES ; HYPERBOLIC CONSERVATION-LAWS ; SHOCK-CAPTURING SCHEMES ; HIGH-ORDER WENO ; EFFICIENT IMPLEMENTATION ; SMOOTHNESS INDICATOR ; RESOLUTION ; ACCURACY |
| WOS Research Area | Computer Science ; Mathematics ; Mechanics ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas |
| Funding Organization | National Key R&D Program of China(2016YFA0401200) ; National Natural Science Associate Foundation(U1530145) ; Science Challenge Project(TZ2016002) ; National Natural Science Foundation of China(11272325) |
| Classification | 二类 |
| Ranking | 1 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/77492 |
| Collection | 高温气体动力学国家重点实验室 |
| Recommended Citation GB/T 7714 | Liu SP,Shen YQ,Zeng FJ,et al. A new weighting method for improving the WENO-Z scheme[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2018,87,6,:271-291. |
| APA | 刘升平,申义庆,Zeng FJ,&Yu M.(2018).A new weighting method for improving the WENO-Z scheme.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,87(6),271-291. |
| MLA | 刘升平,et al."A new weighting method for improving the WENO-Z scheme".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 87.6(2018):271-291. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| IrJ2018013.pdf（1635KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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