Email this article Numerical and analytical calculations of the parameters of power-law spectra for deep water gravity waves
- Authors: Geogjaev V.V.1,2, Zakharov V.E.1,3,4,2,5
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Affiliations:
- Shirshov Institute of Oceanology
- Lebedev Physical Institute
- Novosibirsk State University
- University of Arizona
- Waves and Solitons LLC
- Issue: Vol 106, No 3 (2017)
- Pages: 184-187
- Section: Nonlinear Phenomena
- URL: https://journals.rcsi.science/0021-3640/article/view/160333
- DOI: https://doi.org/10.1134/S0021364017150012
- ID: 160333
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Abstract
We determine the asymptotic behavior of the coupling coefficient for four-wave interactions of gravity waves in deep water in the limiting case when two wave vectors of interacting waves are small with respect to the other two (“long–short interactions”). It makes possible to find numerically dimensionless Kolmogorov constants for the power-law Kolmogorov–Zakharov spectra. The results obtained are crucially important for comparison of the weak turbulent theory with the experiments and natural observations.
About the authors
V. V. Geogjaev
Shirshov Institute of Oceanology; Lebedev Physical Institute
Author for correspondence.
Email: vvg@mail.geogjaev.ru
Russian Federation, Moscow, 117997; Moscow, 119991
V. E. Zakharov
Shirshov Institute of Oceanology; Novosibirsk State University; University of Arizona; Lebedev Physical Institute; Waves and Solitons LLC
Email: vvg@mail.geogjaev.ru
Russian Federation, Moscow, 117997; Novosibirsk, 630090; Tucson, Arizona, 85721; Moscow, 119991; Arizona, 85015
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