The kinetic equation solutions and Kolmogorov spectra

doi:10.1088/1755-1315/231/1/012043

	The kinetic equation solutions and Kolmogorov spectra
	Polnikov, V. G.1; Qiao, F.2
	2019
卷号	231
DOI	10.1088/1755-1315/231/1/012043
英文摘要	The Hasselmann kinetic equation (KE) for stochastic nonlinear surface waves is studied numerically with the aim of searching for features of the Kolmogorov turbulence (KT). To this aim, solutions of the KE for the long-term wave-spectrum evolution are executed. As far as the total wave action N and wave energy E are not preserved simultaneously in the course of the KE solution, two versions of the numerical algorithm are used, preserving values of N or E in separate. In every case, the KE solutions result in formation of the self-similar spectrum shape, S-sf(omega), with the frequency tail S-sf(omega) similar to omega(-4), independently of the N- or E-fluxes generated by the nonlinear interactions. This urges us to state that the used KE does not obey to regulations of the KT. The reason of this fact resides in the mathematical feature of the kinetic integral, which, in any case of solving the KE, results in formation of the nonlinear energy-transfer tail of kind Nl(omega) similar to-omega(-4), what stabilizes the spectral tail in form S-sf(omega) similar to omega(-4).
会议录	TURBULENCE, ATMOSPHERE AND CLIMATE DYNAMICS
会议录出版者	IOP PUBLISHING LTD
会议录出版地	DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND
语种	英语
资助项目	NSFC-Shandong Joint Fund for Marine Science Research Centres[U1606405]
WOS研究方向	Environmental Sciences & Ecology ; Meteorology & Atmospheric Sciences
WOS记录号	WOS:000473549100042
WOS关键词	LINEAR ENERGY-TRANSFER ; GRAVITY-WAVE SPECTRUM ; SURFACE
内容类型	会议论文
源URL	[http://ir.fio.com.cn:8080/handle/2SI8HI0U/24611]
专题	自然资源部第一海洋研究所
通讯作者	Polnikov, V. G.
作者单位	1.RAS, AM Obukhov Inst Atmospher Phys, Moscow 119017, Russia 2.SOA, Inst Oceanog 1, Qingdao 266061, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Polnikov, V. G.,Qiao, F.. The kinetic equation solutions and Kolmogorov spectra[C]. 见:.