Инд. авторы:	Khakimzyanov G., Shokina N.Y., Dutykh D., Mitsotakis D.
Заглавие:	A new run-up algorithm based on local high-order analytic expansions
Библ. ссылка:	Khakimzyanov G., Shokina N.Y., Dutykh D., Mitsotakis D. A new run-up algorithm based on local high-order analytic expansions // Journal of Computational and Applied Mathematics. - 2016. - Vol.298. - P.82-96. - ISSN 0377-0427. - EISSN 1879-1778.
Внешние системы:	DOI: 10.1016/j.cam.2015.12.004; РИНЦ: 26807732; SCOPUS: 2-s2.0-84951320831; WoS: 000369454900008;
Реферат:	eng: The practically important problem of the wave run-up is studied in this article in the framework of Nonlinear Shallow Water Equations (NSWE). The main novelty consists in the usage of high order local asymptotic analytical solutions in the vicinity of the shoreline. Namely, we use the analytical techniques introduced by S. Kovalevskaya and the analogy with the compressible gas dynamics (i.e. gas outflow problem into the vacuum). Our run-up algorithm covers all the possible cases of the wave slope on the shoreline and it incorporates the new analytical information in order to determine the shoreline motion to higher accuracy. The application of this algorithm is illustrated in several important practical examples. Finally, the simulation results are compared with the well-known analytical and experimental predictions. © 2015 Elsevier B.V. All rights reserved.
Ключевые слова:	Wave runup; Non-linear shallow water equations; Local asymptotic; High-order; Finite differences; Compressible gas dynamics; Asymptotic expansion; Finite volume method; Equations of motion; Compressibility of gases; Algorithms; Wave run-up; Nonlinear shallow water equations; Finite volumes; Finite differences; Asymptotic expansion; Gas dynamics; Nonlinear equations;
Издано:	2016
Физ. характеристика:	с.82-96
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