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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 1, Pages 113–120
DOI: https://doi.org/10.7868/S0044466915010147 (Mi zvmmf10139) 		 
Application of coordinate transformations in numerical simulation of tsunami runup by the large particle method

A. V. Kofanovab, V. D. Liseikinab, A. D. Rychkovab

a Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.7868/S0044466915010147
Abstract: A numerical algorithm for computing the runup of a solitary tsunami wave in the case of complex shoreline topography is proposed. The algorithm involves the construction of coordinate mappings that transform a uniform rectangular grid over a reference computational domain into a grid over a physical domain with mesh refinement near the shoreline. The application of such coordinate mappings makes it possible to substantially reduce the number of grid points and save computation time. The mathematical model is based on the shallow water equations, and the problem is solved using the large particle method. An actual example is used to illustrate the computation of a curvilinear grid and the inundation area configuration.
Key words: tsunami, shallow water equations, particle-in-cell method, coordinate transformations, adaptive numerical grids, inverted Beltrami and diffusion equations.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00231
Ministry of Education and Science of the Russian Federation НШ-5006.2014.9
Received: 30.09.2013
Revised: 31.03.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 1, Pages 109–116
DOI: https://doi.org/10.1134/S0965542515010145
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Kofanov, V. D. Liseikin, A. D. Rychkov, “Application of coordinate transformations in numerical simulation of tsunami runup by the large particle method”, Zh. Vychisl. Mat. Mat. Fiz., 55:1 (2015), 113–120; Comput. Math. Math. Phys., 55:1 (2015), 109–116
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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