Spectral dynamics in enstrophy inertial range in α- turbulence

Abstract eng:
We investigate spectral dynamics in the enstrophy inertial range in forced-dissipative turbulence for a generalized two-dimensional fluid system, the so-called α-turbulence, by the eddy damped quasi-normalized Markovianized (EDQNM) closure approximation equation for this system. As the non-local parameter α increases, the downward enstrophy flux dominates the net enstrophy flux and the triads responsible for the net enstrophy flux become more non-local. According to this analysis, we derive the transition of the exponent of the enstrophy spectrum at α = 2, which has been observed by previous direct numerical simulations, from an asymptotic analysis of EDQNM approximation equation. The energy transfer in the enstrophy inertial range is also investigated similarly.

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