| Low-Order Moments of Velocity Gradient Tensors in Two-Dimensional Isotropic Turbulence | |
Luo, Chensheng1; Yang PF(杨平凡)2,3 ; Fang, Le1
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| Corresponding Author | Fang, Le([email protected]) |
| Source Publication | SYMMETRY-BASEL
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| 2024-02-01 | |
| Volume | 16Issue:2Pages:12 |
| Abstract | In isotropic turbulence, symmetry of different directions can reduce the number of independent components for velocity gradient tensors. In three-dimensional isotropic turbulence, the independent components under either incompressible or compressible conditions have already been analyzed in the literature. However, for two-dimensional isotropic turbulence, they are still unclear. We derive rigorously the independent components for velocity gradient tensors of two-dimensional isotropic turbulence and give physical explanations. These theoretical results are validated using high-resolution direct numerical simulations (DNSs) of two-dimensional compressible turbulence. Results show that the present DNS setup is still not sufficient to capture the isotropy of third-order moments, suggesting that more investigations on determining the smallest scale and improving the numerical schemes for two-dimensional compressible turbulence are required. |
| Keyword | two-dimensional turbulence compressible turbulence velocity gradient |
| DOI | 10.3390/sym16020175 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:001172219200001 |
| WOS Keyword | DISSIPATION ; SIMULATION ; VORTICITY ; SCHEME |
| WOS Research Area | Science & Technology - Other Topics |
| WOS Subject | Multidisciplinary Sciences |
| Funding Project | National Natural Science Foundation of China |
| Funding Organization | National Natural Science Foundation of China |
| Classification | 二类 |
| Ranking | 2 |
| Contributor | Fang, Le |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/94635 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Beihang Univ, Ecole Cent Pekin, Sch Gen Engn, Lab Complex Syst, Beijing 100191, Peoples R China; 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China; 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Luo, Chensheng,Yang PF,Fang, Le. Low-Order Moments of Velocity Gradient Tensors in Two-Dimensional Isotropic Turbulence[J]. SYMMETRY-BASEL,2024,16,2,:12.Rp_Au:Fang, Le |
| APA | Luo, Chensheng,杨平凡,&Fang, Le.(2024).Low-Order Moments of Velocity Gradient Tensors in Two-Dimensional Isotropic Turbulence.SYMMETRY-BASEL,16(2),12. |
| MLA | Luo, Chensheng,et al."Low-Order Moments of Velocity Gradient Tensors in Two-Dimensional Isotropic Turbulence".SYMMETRY-BASEL 16.2(2024):12. |
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