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arXiv · 1601.06490

One-dimensional hydrodynamic model generating a turbulent cascade

Takeshi Matsumoto·Takashi Sakajo
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Abstract

As a minimal mathematical model generating cascade analogous to that of the Navier-Stokes turbulence in the inertial range, we propose a one-dimensional partial-differential-equation model that conserves the integral of the squared vorticity analogue (enstrophy) in the inviscid case. With a large-scale forcing and small viscosity, we find numerically that the model exhibits the enstrophy cascade, the broad energy spectrum with a sizable correction to the dimensional-analysis prediction, peculiar intermittency and self-similarity in the dynamical system structure.

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Takeshi Matsumoto, Takashi Sakajo. 2016-05-06. One-dimensional hydrodynamic model generating a turbulent cascade. https://doi.org/10.1103/physreve.93.053101

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