Influence of Nonlinear Interaction on the Evolution of Waves in a Shallow Basin
- Authors: Rodin A.A.1, Rodina N.A.1,2, Kurkin A.A.1, Pelinovsky E.N.3,4,5,6
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Affiliations:
- Alexeev Technical University
- Lobachevskii National Research State University
- Institute of Applied Physics, Russian Academy of Sciences
- Special Design Bureau of Marine Research Automation Far East Branch, Russian Academy of Sciences
- National Research University Higher School of Economics
- University of Southern Queensland
- Issue: Vol 55, No 4 (2019)
- Pages: 374-379
- Section: Article
- URL: https://journals.rcsi.science/0001-4338/article/view/148728
- DOI: https://doi.org/10.1134/S0001433819040108
- ID: 148728
Cite item
Abstract
The influence of nonlinear interaction of oppositely directed nonlinear waves in a shallow basin is studied theoretically and numerically within the nonlinear theory of shallow water. It is shown that this interaction leads to a change in the phase of propagation of the main wave, which is forced to propagate along the flow induced by the oncoming wave. The estimates of the undisturbed wave height at the time of interaction agree with the theoretical predictions. The phase shift during the interaction of undisturbed waves is sufficiently small, but becomes noticeable in the case of the propagation of breaking waves.
About the authors
A. A. Rodin
Alexeev Technical University
Email: pelinovsky@gmail.com
Russian Federation, Nizhny Novgorod, 603950
N. A. Rodina
Alexeev Technical University; Lobachevskii National Research State University
Author for correspondence.
Email: na4aikovskaya@mail.ru
Russian Federation, Nizhny Novgorod, 603950; Nizhny Novgorod, 603950
A. A. Kurkin
Alexeev Technical University
Author for correspondence.
Email: aakurkin@gmail.com
Russian Federation, Nizhny Novgorod, 603950
E. N. Pelinovsky
Institute of Applied Physics, Russian Academy of Sciences; Special Design Bureau of Marine Research Automation Far East Branch, Russian Academy of Sciences; National Research University Higher School of Economics; University of Southern Queensland
Author for correspondence.
Email: pelinovsky@gmail.com
Russian Federation, Nizhny Novgorod, 603950; Yuzhno-Sakhalinsk, 693023; Nizhny Novgorod, 603950; Darling Heights, West St, QLD 4350