Statistics of active and passive scalars in one-dimensional compressible   turbulence

doi:10.1103/PhysRevE.86.066307

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	Statistics of active and passive scalars in one-dimensional compressible turbulence
	Ni, Qionglin ; Chen, Shiyi
刊名	physical review e
	2012
关键词	PROBABILITY DENSITY-FUNCTIONS FORCED BURGERS TURBULENCE KOLMOGOROV TURBULENCE EQUATION INTERMITTENCY FIELDS
DOI	10.1103/PhysRevE.86.066307
英文摘要	Statistics of the active temperature and passive concentration advected by the one-dimensional stationary compressible turbulence at Re-lambda = 2.56 x 10(6) and M-t = 1.0 is investigated by using direct numerical simulation with all-scale forcing. It is observed that the signal of velocity, as well as the two scalars, is full of small-scale sawtooth structures. The temperature spectrum corresponds to G(k) proportional to k(-5/3), whereas the concentration spectrum acts as a double power law of H(k) proportional to k(-5/3) and H(k) proportional to k(-7/3). The probability distribution functions (PDFs) for the two scalar increments show that both delta T and delta C are strongly intermittent at small separation distance r and gradually approach the Gaussian distribution as r increases. Simultaneously, the exponent values of the PDF tails for the large negative scalar gradients are q(theta) = -4.0 and q(zeta) = -3.0, respectively. A single power-law region of finite width is identified in the structure function (SF) of delta T; however, in the SF of delta C, there are two regions with the exponents taken as a local minimum and a local maximum. As for the scalings of the two SFs, they are close to the Burgers and Obukhov-Corrsin scalings, respectively. Moreover, the negative filtered flux at large scales and the time-increasing total variance give evidences to the existence of an inverse cascade of the passive concentration, which is induced by the implosive collapse in the Lagrangian trajectories. DOI: 10.1103/PhysRevE.86.066307; Physics, Fluids & Plasmas; Physics, Mathematical; SCI(E); EI; 1; ARTICLE; 6; 86
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/392455]
专题	工学院
推荐引用方式 GB/T 7714	Ni, Qionglin,Chen, Shiyi. Statistics of active and passive scalars in one-dimensional compressible turbulence[J]. physical review e,2012.
APA	Ni, Qionglin,&Chen, Shiyi.(2012).Statistics of active and passive scalars in one-dimensional compressible turbulence.physical review e.
MLA	Ni, Qionglin,et al."Statistics of active and passive scalars in one-dimensional compressible turbulence".physical review e (2012).