Nonequilibrium statistical mechanics of two-dimensional turbulence
Data(s) |
1984
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Resumo |
The vorticity dynamics of two-dimensional turbulence are investigated analytically, applying the method of Qian (1983). The vorticity equation and its Fourier transform are presented; a set of modal parameters and a modal dynamic equation are derived; and the corresponding Liouville equation for the probability distribution in phase space is solved using a Langevin/Fokker-Planck approach to obtain integral equations for the enstrophy and for the dynamic damping coefficient eta. The equilibrium spectrum for inviscid flow is found to be a stationary solution of the enstrophy equation, and the inertial-range spectrum is determined by introducing a localization factor in the two integral equations and evaluating the localized versions numerically. |
Identificador | |
Idioma(s) |
英语 |
Fonte |
Physics Of Fluids.1984,27(10):2412-2417 |
Tipo |
期刊论文 |