The Tsunami Wave Energy
https://doi.org/10.25205/1818-7900-2020-18-4-39-53
Abstract
The basic formulae for calculating the moving long wave energy were derived and presented. The problems related to the energy counting in the course of numerical modeling of tsunami wave generation and propagation. Through a number of computational experiments, the wave energy radiation directivity of tsunami generated by an ellipsoidal source with a various axis length ratio was studied. The wave energy radiation directivity of the dipole tsunami source consisting of two ellipsoidal sources with opposite sign of the water surface displacement is considered.
About the Author
A. G. Marchuk
Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Russian Federation
Russian Federation
References
1. Рабинович А. Б., Шепич Я. Метеорологические цунами: что это такое? // Природа. 2016. № 1. C. 12-26.
2. Стокер Дж. Дж. Волны на воде. М.: ИЛ, 1959. 617 с.
3. Вольцингер Н. Е., Пясковский Р. В. Теория мелкой воды: океанологические задачи и численные методы. Л.: Гидрометеоиздат, 1977. 207 с.
4. Synolakis C. E. Tsunami runup on steep slopes: How good linear theory really is. Natural Hazards, 1991, vol. 4 (2), p. 221-234. DOI 10.1007/BF00162789
5. Titov V., Gonzalez F. Implementation and testing of the method of splitting tsunami (MOST) model. NOAA Technical Memorandum ERL PMEL-112. USA, 1997.
6. Марчук Ан. Г. Вычисление высоты цунами, распространяющейся над наклонным дном, в лучевом приближении // Сиб. журн. вычисл. математики. 2015. Т. 18, № 4. С. 377-388. DOI 10.15372/SJNM20150404
7. Марчук Ан. Г. Оценка высоты цунами, распространяющейся над параболическим дном, в лучевом приближении // Сиб. журн. вычисл. математики. 2017. Т. 20, № 1. С. 23-35. DOI 10.15372/SJNM20170103
8. Marchuk An. G., Titov V. V. Source configuration and the process of tsunami waves forming. In: Gusiakov V. K. (ed.). Tsunamis: Their Science and Hazard Mitigation. Proc. Int. Tsunami Symp. Novosibirsk, Computing Center, Siberian Division, USSR Academy of Sciences, 1989, p. 11-17.
9. Kanoglu U., Titov V. V., Aydin B., Moore C., Stefanakis T. S., Zhou H., Spillane M., Synolakis C. E. Focusing of long waves with finite crest over a constant depth. In: Proc. Roy. Soc. Lond., 2013, A, 469 (2153), 20130015. DOI 10.1098/rspa.2013.0015
Review
For citations:
Marchuk A.G. The Tsunami Wave Energy. Vestnik NSU. Series: Information Technologies. 2020;18(4):39-53. (In Russ.) https://doi.org/10.25205/1818-7900-2020-18-4-39-53
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