Direct numerical simulation of acoustic turbulence: Zakharov-Sagdeev spectrum

Abstract

We present the results of direct numerical simulation of three-dimensional acoustic turbulence in medium with weak positive dispersion. It is shown that at the beginning of the long-wavelength region in the turbulence energy distribution in the $k$-space, there are formed jets in the form of narrow cones. At larger wavenumbers, the cones broaden, and the distribution accordingly tends to isotropic. In this region of wavenumbers, the angle-averaged turbulence spectrum acquires a power-law character, $E(k)\propto k^{-\alpha }$, with the exponent close to $3/2$, which corresponds to the Zakharov-Sagdeev weak acoustic turbulence spectrum.

6 pages, 6 figures

References in corpus (3)

• Energy spectrum of two-dimensional acoustic turbulence
• Instability of solitons and collapse of acoustic waves in media with positive dispersion
• Compressible vortex structures and their role in the onset of hydrodynamic turbulence

Cited by in corpus (4)

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• Transition from wave turbulence to acousticlike shock-wave regime
• Simulation of the Wave Turbulence of a Liquid Surface Using the Dynamic Conformal Transformation Method
• Magnetically assisted vorticity production in decaying acoustic turbulence