Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence

  title={Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence},
  author={S. Nazarenko and V.N.Grebenev},
  journal={arXiv: Fluid Dynamics},
The last stage of evolution toward the stationary Kolmogorov spectrum of hydrodynamic turbulence is studied using the Leith model. This evolution is shown to manifest itself as a reflection wave in the wavenumber space propagating from the largest toward the smallest wavenumbers, and is described by a self-similar solution of a new (third) kind. This stage follows the previously studied stage of an initial explosive propagation of the spectral front from the smallest to the largest wavenumbers… Expand

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