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Weak- and strong-turbulence regimes of the Hasegawa-Mima equation

M. Ottaviani, J.A. Krommes

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Abstract

A Kolmogorov-type analysis of the energy- and enstrophy-cascading ranges of the forced Hasegawa-Mima equation allows one to derive a criterion for the threshold of the transition between the weak turbulence and the strong turbulence regimes. It is found that, due to the inverse energy cascade, the large-scale portion of the inertial range is in the strong turbulence regime in the limit of infinite Reynolds-like numbers.

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A Kolmogorov-type analysis of the energy- and enstrophy-cascading ranges of the forced Hasegawa-Mima equation allows one to derive a criterion for the threshold of the transition between the weak turbulence and the strong turbulence regimes. It is found that, due to the inverse energy cascade, the large-scale portion of the inertial range is in the strong turbulence regime in the limit of infinite Reynolds-like numbers.

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Available abstract

A Kolmogorov-type analysis of the energy- and enstrophy-cascading ranges of the forced Hasegawa-Mima equation allows one to derive a criterion for the threshold of the transition between the weak turbulence and the strong turbulence regimes. It is found that, due to the inverse energy cascade, the large-scale portion of the inertial range is in the strong turbulence regime in the limit of infinite Reynolds-like numbers.

Key concepts: Turbulence, Enstrophy, K-epsilon turbulence model, Physics, K-omega turbulence model, Energy cascade, Reynolds number, Kolmogorov microscales

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