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 higher 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, $E(k) ∝ {{k}^{{ - α }}}$, with the exponent close to 3/2, which corresponds to the Zakharov-Sagdeev weak acoustic turbulence spectrum.
- Publication:
-
Soviet Journal of Experimental and Theoretical Physics Letters
- Pub Date:
- December 2022
- DOI:
- 10.1134/S0021364022602494
- arXiv:
- arXiv:2211.09430
- Bibcode:
- 2022JETPL.116..863K
- Keywords:
-
- Physics - Fluid Dynamics
- E-Print:
- 6 pages, 6 figures