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A new weighting method for improving the WENO-Z scheme
Liu SP(刘升平); Shen YQ(申义庆); Zeng FJ; Yu M
发表期刊INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
2018-06-30
卷号87期号:6页码:271-291
ISSN0271-2091
摘要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.
关键词Global Smoothness Indicator Low Numerical Dissipation Weighting Function Weno-z Scheme
DOI10.1002/fld.4490
收录类别SCI ; EI
语种英语
WOS记录号WOS:000433578400001
关键词[WOS]ESSENTIALLY NONOSCILLATORY SCHEMES ; HYPERBOLIC CONSERVATION-LAWS ; SHOCK-CAPTURING SCHEMES ; HIGH-ORDER WENO ; EFFICIENT IMPLEMENTATION ; SMOOTHNESS INDICATOR ; RESOLUTION ; ACCURACY
WOS研究方向Computer Science ; Mathematics ; Mechanics ; Physics
WOS类目Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
项目资助者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)
论文分区二类
力学所作者排名1
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被引频次:1[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://dspace.imech.ac.cn/handle/311007/77492
专题高温气体动力学国家重点实验室
推荐引用方式
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.
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