Direct and Inverse Cascades in Two-Dimensional Turbulence with a Generalized Enstrophy Invariant

Author: Shivamoggi B.K.  

Publisher: Springer Publishing Company

ISSN: 0020-7748

Source: International Journal of Theoretical Physics, Vol.39, Iss.1, 2000-01, pp. : 83-87

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Abstract

Direct and reverse cascades are shown to be generic to two-dimensional turbulence with a generalized enstrophy invariant Ü = ∫ 1/2|Δ^2qΨ|^2dx = const, q ≠ 1/2. The classical hydrodynamical situation is a special case (q = 1) of the general result.