Autor:	Ciprian Foias, Ricardo M. S. Rosa, O. P. Manley, Michael S. Jolly
Rok vydání:	2002
Předmět:	Turbulence Mathematical analysis Turbulence modeling Statistical and Nonlinear Physics K-omega turbulence model Enstrophy Upper and lower bounds Nonlinear Sciences::Chaotic Dynamics Physics::Fluid Dynamics Attractor Wavenumber Navier–Stokes equations Mathematical Physics Mathematics
Zdroj:	Journal of Statistical Physics. 108:591-645
ISSN:	0022-4715
DOI:	10.1023/a:1015782025005
Popis:	A mathematical formulation of the Kraichnan theory for 2-D fully developed turbulence is given in terms of ensemble averages of solutions to the Navier–Stokes equations. A simple condition is given for the enstrophy cascade to hold for wavenumbers just beyond the highest wavenumber of the force up to a fixed fraction of the dissipation wavenumber, up to a logarithmic correction. This is followed by partial rigorous support for Kraichnan's eddy breakup mechanism. A rigorous estimate for the total energy is found to be consistent with Kraichnan's theory. Finally, it is shown that under our conditions for fully developed turbulence the fractal dimension of the attractor obeys a sharper upper bound than in the general case.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::68a4400e984fb44852b8c00814e682ad https://doi.org/10.1023/a:1015782025005 Zobrazit plný text záznamu Full text from SpringerLink