DIFFRACTION OF OBLIQUE SURFACE WAVES BY AN ICE COVER IN THE PRESENCE OF A CURRENT WITH VELOCITY SHEAR
- Authors: Tkacheva L.A.1
-
Affiliations:
- Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences
- Issue: No 1 (2025)
- Pages: 174-187
- Section: Articles
- URL: https://snv63.ru/1024-7084/article/view/683787
- DOI: https://doi.org/10.31857/S1024708425010097
- EDN: https://elibrary.ru/DVETBN
- ID: 683787
Cite item
Abstract
The diffraction of oblique surface waves on the edge of an elastic semi-infinite plate floating on the surface of a fluid of finite depth in the presence of a current with linear velocity shear is studied. An exact analytical solution of this problem is constructed using the Wiener-Hopf technique. The frequency dependences of the reflection and transmission coefficients and angles are investigated at various angles of incident waves and the shear gradient.
About the authors
L. A. Tkacheva
Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences
Email: tkacheva@hydro.nsc.ru
Novosibirsk, Russia
References
- Tkacheva L.A. Wave Diffraction on an Ice Sheet in the Presence of Shear Current // Fluid Dyn. 2024. V. 59. No. 3. P. 546–560.
- Ellingsen S.A. Oblique waves on a vertical sheared current are rotational // Eur. J. Mech. B. Fluids. 2016. V. 56. P. 156–160.
- Марченко А.В., Прохоров И.В. О линейных волнах в потоке жидкости с постоянной завихренностью, находящейся под ледяным покровом // ПММ. 1991. Т. 55. Вып. 2. С. 242-249.
- Marchenko A., Johnson M., Brazhnikov D. Leaky Wave Modes and Edge Waves in Land-Fast Ice Split by Parallel Cracks // J. Mar. Sci. Eng. 2024. V. 12. N 8. 1247. https://doi.org/0.3390/jmse12081247
- Collins III C.O., Rogers W.E., Marchenko A. On Wave–Ice Interaction in the Arctic Marginal Ice Zone: Dispersion, Attenuation, and Ice Response. Naval Research Laboratory. Stennis Space Center, MS 39529-5004. NRL/MR/7320– 16-9676. 57 p.
- Нобл Б. Метод Винера — Хопфа. М.: Изд-во иностр. лит., 1962. 279 с.
- Гельфанд И.М., Шилов Г.Е. Обобщенные функции и действия над ними. М.: Физматгиз, 1959. 243 с.
- Стурова И.В. Действие пульсирующего источника в жидкости при наличии сдвигового слоя // Изв. РАН. МЖГ. 2023. № 4. С. 14–26.
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