Capture of Wave Energy by Islands
https://doi.org/10.25205/1818-7900-2023-21-3-20-31
Abstract
The process of capturing wave energy by an island around which the bottom has a conical shape is studied. The kinematics of the initially straight wave front near such an island was investigated by the method of step-by-step orthogonal advancement. An estimate of the part of wave energy that due to refraction is captured by the bottom slope surrounding the island was obtained. Numerical modeling of this problem was also carried out within the framework of the shallow-water model, which confirmed the results obtained by the kinematic method, including a quantitative assessment of the part of the wave energy reflected by the island and captured by its inclined shelf. It is shown that the islands surrounded by the bottom slope well shield the water area located behind such an island.
Supporting agencies: This work was carried out under state contract with ICMMG SB RAS (0315-2019-0004)
About the Author
A. G. Marchuk
Institute of Computational Mathematics and Mathematical Geophysics SB RAS; Novosibirsk State University
Russian Federation
Russian Federation
Andrey Guryevich Marchuk, Doctor of Physical and Mathematical Sciences
Novosibirsk
WoS Researcher IDS-9502-2017
Scopus Author ID 57023485400
References
1. Stoker J. J. Waves on the water. M.: IL, 1959. 617 p. (in Russ.) [Stoker J. J. Water waves. The mathematical theory with applications. New York, Interscience publishers, 1957]
2. Marchuk An. G. Calculation of the height of a tsunami propagating over an inclined bottom in the radial approximation // Sib. zhurn. calculation. mathematics / RAS. Sib. otd-nie.–Novosibirsk, 2015. Vol. 18, no. 4. Pp. 377‑388.
3. Marchuk, A. G. Estimating tsunami wave height over a sloping bottom in the ray approximation. Numer. Analys. Appl. 8, 304–313 (2015). DOI 10.1134/S1995423915040047
4. Ikonnikova L. N., Yaroshenya R. A. Rascheot refraktsii voln tsunami dlya Tikhookeanskogo poberezhya SSSR. In: Teoreticheskie I eksperimentalnye issledovaniya po probleme tsunami. M., Nauka, 1977, p. 120‑127. (in Russ)
5. Fujima K., Yuliadi D., Goto C., et al. Characteristics of long waves trapped by conical island // Coastal Engineering in Japan. 1995. Vol. 38. No. 2. P. 111‑132. DOI: 10.1080/05785634.1995.11952810
6. Jonsson I. G., Skovgaard O., Brink-Kjaer O. Difraction and refraction calculations from waves incident on an island // Jour. Marine Res. 1976. Vol. 34, № 3. P. 469‑496.
7. Lautenbacher C. C. Gravity waves refraction by islands // Jour. Fluid Mech. 1970 Vol. 41, Part
8. P. 655‑672. DOI: 10.1017/S0022112070000824
9. Romanov V. G. Inverse problems for differential equations: Textbook. Novosibirsk: NSU, 1983, 175 p.
10. Romanov V. G. Obratnye zadachi dlya differentsialnykh uravnenij. Uchebnoe posobie. Novosibirsk: NSU, 1983, 175 p (in Russ).
11. Marchuk An. G., Vasiliev G. S. The fast method for a rough tsunami amplitude estimation // Bull. Novosibirsk Comp. Center. Ser. Math. Model. in Geoph. Novosibirsk, 2014, iss. 17, p. 21–34.
Review
For citations:
Marchuk A.G. Capture of Wave Energy by Islands. Vestnik NSU. Series: Information Technologies. 2023;21(3):20-31. (In Russ.) https://doi.org/10.25205/1818-7900-2023-21-3-20-31
Views:
109
Email this article 