A differential approximation model for passive scalar turbulence

نویسندگان

چکیده

Two dimensional passive scalar turbulence is studied by means of a k-space diffusion model based on third order differential approximation. This simple description local nonlinear interactions in Fourier space shown to present general expression, line with previous seminal works, and appears be suitable for various 2D problems. Steady state solutions the spectral energy density flow are recover Kraichnan-Kolmogorov phenomenology dual cascade, while spectra, such as Batchelor or Obukhov-Corssin spectra recovered steady scalar. These analytical results then corroborated numerical time evolving problem injection dissipation logarithmic wavenumber grid over large range scales. The particular power law that obtained found depend mainly location kinetic injections.

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ژورنال

عنوان ژورنال: Journal of Physics A

سال: 2021

ISSN: ['1751-8113', '1751-8121']

DOI: https://doi.org/10.1088/1751-8121/ac1484