Structure and role of the pressure Hessian in regions of strong vorticity in turbulence

doi:10.1017/jfm.2024.143

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	Structure and role of the pressure Hessian in regions of strong vorticity in turbulence
	Yang, P. -F.3,4,5,6; Xu, H.3,4; Pumir, A.1,2; He, G. W.5,6
刊名	JOURNAL OF FLUID MECHANICS
	2024-03-15
卷号	983 页码:12
关键词	turbulence theory turbulence modelling vortex dynamics
ISSN号	0022-1120
DOI	10.1017/jfm.2024.143
通讯作者	Pumir, A.(alain.pumir@ens-lyon.fr) ; He, G. W.(hgw@lnm.imech.ac.cn)
英文摘要	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.
资助项目	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]
WOS关键词	VELOCITY-GRADIENT TENSOR ; DIRECT NUMERICAL SIMULATIONS ; RESTRICTED EULER ; DYNAMICS ; INVARIANTS ; MODELS
WOS研究方向	Mechanics ; Physics
语种	英语
WOS记录号	WOS:001192369800001
资助机构	Natural Science Foundation of China (NSFC) Basic Science Center Program ; NSFC ; Agence Nationale de la Recherche (ANR)
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/94836]
专题	力学研究所_非线性力学国家重点实验室
通讯作者	Pumir, A.; He, G. W.
作者单位	1.Max Planck Inst Dynam & Selforg, Fassberg 17, D-37077 Gottingen, Germany 2.Univ Lyon, Ecole Normale Super Lyon, Lab Phys, CNRS, F-69007 Lyon, France 3.Tsinghua Univ, Sch Aerosp Engn, Beijing 100084, Peoples R China 4.Tsinghua Univ, Ctr Combust Energy, Beijing 100084, Peoples R China 5.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 6.Inst Mech, Chinese Acad Sci, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, P. -F.,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	Yang, P. -F.,Xu, H.,Pumir, A.,&He, G. W..(2024).Structure and role of the pressure Hessian in regions of strong vorticity in turbulence.JOURNAL OF FLUID MECHANICS,983,12.
MLA	Yang, P. -F.,et al."Structure and role of the pressure Hessian in regions of strong vorticity in turbulence".JOURNAL OF FLUID MECHANICS 983(2024):12.