Three-Dimensional Acoustic Turbulence: Weak Versus Strong
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917973332066304 |
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| author | Kochurin, E. A. Kuznetsov, E. A. |
| author_facet | Kochurin, E. A. Kuznetsov, E. A. |
| contents | Direct numerical simulation of three-dimensional acoustic turbulence has been performed for both weak and strong regimes. Within the weak turbulence, we demonstrate the existence of the Zakharov-Sagdeev spectrum $\propto k^{-3/2}$ not only for weak dispersion but in the non-dispersion (ND) case as well. Such spectra in the $k$-space are accompanied by jets in the form of narrow cones. These distributions are realized due to small nonlinearity compared with both dispersion/diffraction. Increasing pumping in the ND case due to dominant nonlinear effects leads to the formation of shocks. As a result, the acoustic turbulence turns into an ensemble of random shocks with the Kadomtsev-Petviashvili spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08352 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three-Dimensional Acoustic Turbulence: Weak Versus Strong Kochurin, E. A. Kuznetsov, E. A. Chaotic Dynamics Fluid Dynamics Geophysics Direct numerical simulation of three-dimensional acoustic turbulence has been performed for both weak and strong regimes. Within the weak turbulence, we demonstrate the existence of the Zakharov-Sagdeev spectrum $\propto k^{-3/2}$ not only for weak dispersion but in the non-dispersion (ND) case as well. Such spectra in the $k$-space are accompanied by jets in the form of narrow cones. These distributions are realized due to small nonlinearity compared with both dispersion/diffraction. Increasing pumping in the ND case due to dominant nonlinear effects leads to the formation of shocks. As a result, the acoustic turbulence turns into an ensemble of random shocks with the Kadomtsev-Petviashvili spectrum. |
| title | Three-Dimensional Acoustic Turbulence: Weak Versus Strong |
| topic | Chaotic Dynamics Fluid Dynamics Geophysics |
| url | https://arxiv.org/abs/2407.08352 |