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This article is cited in 12 scientific papers (total in 12 papers)
PLASMA, HYDRO- AND GAS DYNAMICS
Numerical simulation of collinear capillary-wave turbulence
E. Kochurina, G. Ricardb, N. Zubarevca, E. Falconb a Institute of Electrophysics, Ural Division, Russian Academy of Sciences, 620016 Ekaterinburg, Russia
b Université de Paris, Univ. Paris Diderot, MSC Laboratory, UMR 7057 CNRS, F-75 013 Paris, France
c P. N. Lebedev Physical Institute, Russian Academy of Sciences, 119991 Moscow, Russia
Abstract:
We report on direct numerical simulation of quasi-one-dimensional bidirectional capillary-wave turbulence. Although nontrivial three-wave and four-wave resonant interactions are absent in this peculiar geometry, we show that an energy transfer between scales still occurs concentrated around the linear dispersion relation that is broadened by nonlinearity. The wave spectrum displays a clear wavenumber power-law scaling that is found to be in good agreement with the dimensionally prediction for capillary-wave turbulence involving four-wave interactions. The carried out high-order correlation analysis (bicoherence and tricoherence) confirms quantitatively the dominant role of four-wave quasi-resonant interactions. The Kolmogorov-Zakharov spectrum constant is also estimated numerically. We interpret our results as the first numerical observation of anisotropic capillary-wave turbulence in which four-wave interactions play a dominant role.
Received: 28.10.2020 Revised: 28.10.2020 Accepted: 09.11.2020
Citation:
E. Kochurin, G. Ricard, N. Zubarev, E. Falcon, “Numerical simulation of collinear capillary-wave turbulence”, Pis'ma v Zh. Èksper. Teoret. Fiz., 112:12 (2020), 799–800; JETP Letters, 112:12 (2020), 757–763
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https://www.mathnet.ru/eng/jetpl6322 https://www.mathnet.ru/eng/jetpl/v112/i12/p799
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Abstract page: | 77 | Full-text PDF : | 4 | References: | 17 | First page: | 6 |
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