Transformation of envelope solitons on a bottom step
Article
Article Title | Transformation of envelope solitons on a bottom step |
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ERA Journal ID | 1298 |
Article Category | Article |
Authors | Ducrozet, Guillaume (Author), Slunyaev, Alexey (Author) and Stepanyants, Yury (Author) |
Journal Title | Physics of Fluids |
Journal Citation | 33 |
Article Number | 066606 |
Number of Pages | 14 |
Year | 2021 |
Publisher | AIP Publishing |
Place of Publication | United States |
ISSN | 1070-6631 |
1089-7666 | |
Digital Object Identifier (DOI) | https://doi.org/10.1063/5.0054806 |
Web Address (URL) | https://aip.scitation.org/doi/10.1063/5.0054806 |
Abstract | In this paper, we study the transformation of surface envelope solitons traveling over a bottom step in water of a finite depth. Using the transformation coefficients earlier derived in the linear approximation, we find the parameters of transmitted pulses and subsequent evolution of the pulses in the course of propagation. Relying on the weakly nonlinear theory, the analytic formulas are derived which describe the maximum attainable wave amplitude in the neighborhood of the step and in the far zone. Solitary waves may be greatly amplified (within the weakly nonlinear theory formally, even without a limit) when propagating from relatively shallow water to the deeper domain due to the constructive interference between the newly emerging envelope solitons and the residual quasi-linear waves. The theoretical results are in good agreement with the data of direct numerical modeling of soliton transformation. In particular, more than double wave amplification is demonstrated in the performed simulations. |
Keywords | Computer simulation; Wave mechanics; Nonlinear Schrodinger equation; Surface waves; Spectral methods |
Contains Sensitive Content | Does not contain sensitive content |
ANZSRC Field of Research 2020 | 370803. Physical oceanography |
490109. Theoretical and applied mechanics | |
510399. Classical physics not elsewhere classified | |
Public Notes | This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Physics of Fluids 33, 066606 (2021) and may be found at https://doi.org/10.1063/5.0054806. |
Byline Affiliations | Research Laboratory in Hydrodynamics, Energy and Atmospheric Environment Central Nantes, France |
National Research University Higher School of Economics, Russia | |
School of Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q6711/transformation-of-envelope-solitons-on-a-bottom-step
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