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![]() ![]() ![]() |
刊名 | PHYSICS OF FLUIDS
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出版日期 | 2025-02-01 |
卷号 | 37期号:2页码:27 |
ISSN号 | 1070-6631 |
DOI | 10.1063/5.0249334 |
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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