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Preliminary computations show that discrete and mesoscopic wave turbulence of high nonlinearity i.e. high nonlinear frequency broadening Γ, can be described using a selected set of modes, namely those which belong to highly non-resonant triads whose level of frequency detuning δ, is distributed in the range δ∗ < δ < ∞ where δ∗ is of the order of Γ. In other words, quasi- resonant triads with smaller than δ∗ detuning do not play an essential role in enstrophy turbulence. Our results also shed light on what type of connections between triads are efficient for enstrophy cascading. We show that predominant connections between triads are via two common modes. The fact that this latter result is independent of the nonlinear frequency broadening contradicts the classical sandpile behavior hypothesis.
Author(s):
Brenda Quinn
University College Dublin
Ireland
Miguel Bustamante
University College Dublin
Ireland
Colm Connaughton
University of Warwick
United Kingdom