中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
A class of order-preserving, spectral-property-optimized, and shock-capturing finite difference schemes for compressible flows

文献类型:期刊论文

作者He K(何康)3,4; Liu HW(刘洪伟)4; Guo TB(郭同彪)4; Li XL(李新亮)3,4; He, Zhiwei1,2
刊名PHYSICS OF FLUIDS
出版日期2025-02-01
卷号37期号:2页码:27
ISSN号1070-6631
DOI10.1063/5.0249334
通讯作者Li, Xinliang(lixl@imech.ac.cn) ; He, Zhiwei(he_zhiwei@iapcm.ac.cn)
英文摘要The numerical simulation of compressible flows, characterized by a wide range of flow length scales and discontinuities, still pose an open challenge to design the optimal schemes which resolve the small-scale flow structures with high-fidelity and capture the shock waves with no oscillations. In this paper, we proposed a new class of finite difference schemes to achieve this goal. First of all, a new nonlinear spectral-like weighted group velocity control (WGVC) scheme, centered around the concept of group velocity, is achieved to preserve the optimal order and optimize the spectral properties simultaneously by designing a new smoothness indicators for wave packets. Furthermore, by embedding the WGVC scheme into shock-capturing schemes, we further achieve the shock-capturing property without introducing any artificial parameters. The final schemes are validated by various numerical experiments and the results show that such schemes are order-preserving, spectral-property-optimized, and shock-capturing finite difference schemes and are very suitable for numerical simulation of compressible flow problems.
分类号一类/力学重要期刊
WOS关键词DIRECT NUMERICAL-SIMULATION ; ESSENTIALLY NONOSCILLATORY SCHEME ; TARGETED ENO SCHEMES ; WENO SCHEMES ; EFFICIENT IMPLEMENTATION ; GROUP-VELOCITY ; TURBULENCE ; DISPERSION ; RESOLUTION ; SYSTEMS
资助项目Strategic Priority Research Program of Chinese Academy of Science ; NSFC[12372285] ; NSFC[12232018] ; NSFC[12072349] ; NSFC[12202457] ; National Key Research and Development Program of China[2019YFA0405300] ; National Supercomputer Center in Tianjin (NSCC-TJ) ; [XDB0500301]
WOS研究方向Mechanics ; Physics
语种英语
WOS记录号WOS:001416736800015
资助机构Strategic Priority Research Program of Chinese Academy of Science ; NSFC ; National Key Research and Development Program of China ; National Supercomputer Center in Tianjin (NSCC-TJ)
其他责任者李新亮 ; He, Zhiwei
源URL[http://dspace.imech.ac.cn/handle/311007/100092]  
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.Natl Key Lab Computat Phys, Beijing 100088, Peoples R China
2.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China;
3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China;
4.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
He K,Liu HW,Guo TB,et al. A class of order-preserving, spectral-property-optimized, and shock-capturing finite difference schemes for compressible flows[J]. PHYSICS OF FLUIDS,2025,37(2):27.
APA 何康,刘洪伟,郭同彪,李新亮,&He, Zhiwei.(2025).A class of order-preserving, spectral-property-optimized, and shock-capturing finite difference schemes for compressible flows.PHYSICS OF FLUIDS,37(2),27.
MLA 何康,et al."A class of order-preserving, spectral-property-optimized, and shock-capturing finite difference schemes for compressible flows".PHYSICS OF FLUIDS 37.2(2025):27.

入库方式: OAI收割

来源:力学研究所

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