| Structure and role of the pressure Hessian in regions of strong vorticity in turbulence | |
Yang PF(杨鹏飞)1,2,3,4 ; Xu, H3,4; Pumir, A5,6; He GW(何国威)1,2
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| Corresponding Author | Pumir, A.(alain.pumir@ens-lyon.fr) ; He, G. W.(hgw@lnm.imech.ac.cn) |
| Source Publication | JOURNAL OF FLUID MECHANICS
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| 2024-03-15 | |
| Volume | 983Pages:12 |
| ISSN | 0022-1120 |
| Abstract | Amplification of velocity gradients, a key feature of turbulent flows, is affected by the non-local character of the incompressible fluid equations expressed by the second derivative (Hessian) of the pressure field. By analysing the structure of the flow in regions where the vorticity is the highest, we propose an approximate expression for the pressure Hessian in terms of the local vorticity, consistent with the existence of intense vortex tubes. Contrary to the often used simplification of an isotropic form for the pressure Hessian, which in effect inhibits vortex stretching, the proposed approximate form of the pressure Hessian enables much stronger vortex stretching. The prediction of the approximation proposed here is validated with results of direct numerical simulations of turbulent flows. |
| Keyword | turbulence theory turbulence modelling vortex dynamics |
| DOI | 10.1017/jfm.2024.143 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001192369800001 |
| WOS Keyword | VELOCITY-GRADIENT TENSOR ; DIRECT NUMERICAL SIMULATIONS ; RESTRICTED EULER ; DYNAMICS ; INVARIANTS ; MODELS |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | Natural Science Foundation of China (NSFC) Basic Science Center Program[11988102] ; NSFC[12202452] ; NSFC[11672157] ; NSFC[91852104] ; Agence Nationale de la Recherche (ANR)[ANR-20-CE30-0035] |
| Funding Organization | Natural Science Foundation of China (NSFC) Basic Science Center Program ; NSFC ; Agence Nationale de la Recherche (ANR) |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Pumir, A. ; He, G. W. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/94837 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Inst Mech, Chinese Acad Sci, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China; 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 3.Tsinghua Univ, Ctr Combust Energy, Beijing 100084, Peoples R China; 4.Tsinghua Univ, Sch Aerosp Engn, Beijing 100084, Peoples R China; 5.Univ Lyon, Ecole Normale Super Lyon, Lab Phys, CNRS, F-69007 Lyon, France; 6.Max Planck Inst Dynam & Selforg, Fassberg 17, D-37077 Gottingen, Germany |
| Recommended Citation GB/T 7714 | Yang PF,Xu, H,Pumir, A,et al. Structure and role of the pressure Hessian in regions of strong vorticity in turbulence[J]. JOURNAL OF FLUID MECHANICS,2024,983:12. |
| APA | 杨鹏飞,Xu, H,Pumir, A,&何国威.(2024).Structure and role of the pressure Hessian in regions of strong vorticity in turbulence.JOURNAL OF FLUID MECHANICS,983,12. |
| MLA | 杨鹏飞,et al."Structure and role of the pressure Hessian in regions of strong vorticity in turbulence".JOURNAL OF FLUID MECHANICS 983(2024):12. |
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