{ "id": "2211.09430", "version": "v1", "published": "2022-11-17T09:27:11.000Z", "updated": "2022-11-17T09:27:11.000Z", "title": "Direct numerical simulation of acoustic turbulence: Zakharov-Sagdeev spectrum", "authors": [ "E. A. Kochurin", "E. A. Kuznetsov" ], "comment": "6 pages, 6 figures", "journal": "JETP Letters, v. 116, i. 12 (2022)", "categories": [ "physics.flu-dyn" ], "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.", "revisions": [ { "version": "v1", "updated": "2022-11-17T09:27:11.000Z" } ], "analyses": { "keywords": [ "direct numerical simulation", "zakharov-sagdeev spectrum", "zakharov-sagdeev weak acoustic turbulence spectrum", "turbulence energy distribution", "three-dimensional acoustic turbulence" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }