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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 5, Pages 871–886
DOI: https://doi.org/10.7868/S0044466914050044 (Mi zvmmf10039) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Three-dimensional simulation of the runup of nonlinear surface gravity waves

I. B. Abbasov

Taganrog Institute of Technology, Southern Federal University, per. Nekrasovskii 44, Taganrog, 347928, Russia
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DOI: https://doi.org/10.7868/S0044466914050044
Abstract: The runup of nonlinear surface gravity waves is numerically simulated in two and three dimensions on the basis of the Navier–Stokes equations. The three-dimensional problem is formulated, and the boundary and initial conditions are described. The splitting method over physical processes is used to construct a discrete model taking into account the cell occupation coefficient. The runup of nonlinear surface gravity waves is simulated in two dimensions for slopes of various geometries, and the numerical results are analyzed. The structural features of the simulated three-dimensional basin are described. Three-dimensional models for the staged runup of nonlinear surface gravity waves breaking on coastal slopes in shallow water areas are considered.
Key words: three- and two-dimensional model of wave runup, Navier–Stokes equations, splitting method, coastal slopes, shallow water basin, runup and rundown of surface waves.
Received: 25.09.2013
Revised: 29.11.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 5, Pages 871–886
DOI: https://doi.org/10.1134/S0965542514050030
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. B. Abbasov, “Three-dimensional simulation of the runup of nonlinear surface gravity waves”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014), 871–886; Comput. Math. Math. Phys., 54:5 (2014), 871–886
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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