Minimum scale and spatial resolution requirement for direct numerical simulations of compressible turbulence
文献类型：期刊论文
| 作者 | Luo, Chensheng2,3; Fang J(方剑)1; Fang, Le2,3 |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2025-08-01 |
| 卷号 | 534页码:18 |
| 关键词 | Turbulence scale Compressible turbulence Shocklet Direct numerical simulation |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2025.114014 |
| 通讯作者 | Fang, Jian(jianfang@imech.ac.cn) ; Fang, Le(le.fang@buaa.edu.cn) |
| 英文摘要 | In the direct numerical simulation (DNS) of compressible turbulence using Navier-Stokes equations, due to the incomplete resolution of shocklets, the classical grid resolution criterion based on the usual Kolmogorov length scale appears insufficient for high-order statistics. The present study discusses the minimum scale of compressible turbulence under the continuum assumption, and establishes new spatial resolution requirements for DNS. We first define the minimum shock scale for one-dimensional Burgers turbulence, and derive a spatial resolution criterion essential for fully resolving the second-and third-order velocity gradient moments. We demonstrate that this shock scale definition is also applicable to one-dimensional Navier-Stokes turbulence, and validate the spatial resolution requirement through numerical simulations of the Shu-Osher problem. The analysis is then extended to multi-dimensional turbulence. Through theoretical analysis and numerical studies, we conclude that the minimum local Kolmogorov scale, nmin, describes the smallest structure in turbulence and is determined by the strongest shocklet. Furthermore, we establish a requirement of nmin/Delta x >= 1.5 for compressible turbulence, and validate it through DNSs of two-dimensional compressible turbulence with different grid resolutions. The present study provides a reference on spatial resolution requirement for DNS of compressible turbulence. |
| 分类号 | 一类/力学重要期刊 |
| WOS关键词 | INTERMITTENCY ; SCHEME |
| 资助项目 | National Natural Science Foundation of China[23FAA01491] ; National Natural Science Foundation of China[12372214] ; National Natural Science Foundation of China[U2341231] ; Science Center for Gas Turbine Project[P2022-C-III-001-001] |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:001477752600001 |
| 资助机构 | National Natural Science Foundation of China ; Science Center for Gas Turbine Project |
| 其他责任者 | 方剑，Fang, Le |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/101121]  |
| 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.Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China 2.Beihang Univ, Ecole Cent Pekin, Sch Gen Engn, Lab Complex Syst, Beijing 100191, Peoples R China; 3.Beihang Univ, Res Inst Aeroengine, Beijing 100191, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Luo, Chensheng,Fang J,Fang, Le. Minimum scale and spatial resolution requirement for direct numerical simulations of compressible turbulence[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2025,534:18. |
| APA | Luo, Chensheng,方剑,&Fang, Le.(2025).Minimum scale and spatial resolution requirement for direct numerical simulations of compressible turbulence.JOURNAL OF COMPUTATIONAL PHYSICS,534,18. |
| MLA | Luo, Chensheng,et al."Minimum scale and spatial resolution requirement for direct numerical simulations of compressible turbulence".JOURNAL OF COMPUTATIONAL PHYSICS 534(2025):18. |
入库方式： OAI收割
来源：力学研究所
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