A diagnosis of linear eddy-viscosity in turbulence modeling

doi:10.1063/1.1436495

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	A diagnosis of linear eddy-viscosity in turbulence modeling
	Su, WD ; Zhao, H ; Cai, QD ; Xiong, AK ; Wu, JZ
刊名	physics of fluids
	2002
关键词	VORTICES
DOI	10.1063/1.1436495
英文摘要	A general diagnosis is introduced to examine whether and under what condition any Reynolds-averaged Navier-Stokes or large-eddy simulation using models based on linear eddy-viscosity nu(t) is mathematically compatible with the incompressible turbulent flows to be modeled. It is shown that nu(t) is governed by two independent second-order linear partial differential equations with the spatial derivatives of mean or filtered velocity as coefficients. In particular, for two-dimensional mean or filtered flows the nu(t) equation is globally hyperbolic except in some degenerated cases. Numerical examples show that when the hyperbolic equation is incompatible with the boundary condition for nu(t), the characteristics of the same family may self-intersect to form shocks with finite jumps of nu(t), caused by the strong dissipation gradient near strong shear layers and vortices. Since in any modeled flow the nu(t) field is globally continuous, once the "nu(t)-shocks" occur the modeling must distort the real flow by weakening or even eliminating some vortices. It is further argued that constitutive-type models should contain the mean or filtered vorticity tensor and hence be nonlinear. (C) 2002 American Institute of Physics.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000173866700035&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mechanics; Physics, Fluids & Plasmas; SCI(E); EI; 1; ARTICLE; 3; 1284-1287; 14
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/209878]
专题	工学院
推荐引用方式 GB/T 7714	Su, WD,Zhao, H,Cai, QD,et al. A diagnosis of linear eddy-viscosity in turbulence modeling[J]. physics of fluids,2002.
APA	Su, WD,Zhao, H,Cai, QD,Xiong, AK,&Wu, JZ.(2002).A diagnosis of linear eddy-viscosity in turbulence modeling.physics of fluids.
MLA	Su, WD,et al."A diagnosis of linear eddy-viscosity in turbulence modeling".physics of fluids (2002).