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arXiv · 2211.09430

Direct numerical simulation of acoustic turbulence: Zakharov-Sagdeev spectrum

E. A. Kochurin·E. A. Kuznetsov
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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.

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E. A. Kochurin, E. A. Kuznetsov. 2022-11-17. Direct numerical simulation of acoustic turbulence: Zakharov-Sagdeev spectrum. https://doi.org/10.1134/s0021364022602494

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