 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| D.A. Lozhnikov and V.E. Nazaikinskii, "Method for the analysis of long water waves taking into account reflection from a gently sloping beach," J. Appl. Math. Mech. 81 (1), 21-28 (2017) |
| Year |
2017 |
Volume |
81 |
Issue |
1 |
Pages |
21-28 |
| DOI |
10.1016/j.jappmathmech.2017.07.003 |
| Title |
Method for the analysis of long water waves taking into account reflection from a gently sloping beach |
| Author(s) |
D.A. Lozhnikov (Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow; Moscow Institute of Physics and Technology (State University), Dolgoprudny, Russia, lozhnikov_d@list.ru)
V.E. Nazaikinskii (Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow; Moscow Institute of Physics and Technology (State University), Dolgoprudny, Russia, nazaikinskii@yandex.ru) |
| Abstract |
Algorithms and their software implementation are described that allow calculating the front propagation for a long wave (for example, a tsunami wave) described in the approximation of the linearized shallow water equations with reflection from a shallow beach taken into account. The algorithms are based on a construction of asymptotic solutions of the Cauchy problem for hyperbolic equations with degeneracy on the boundary earlier proposed with the participation of one of the authors. The results of a numerical experiment are presented. |
| Received |
16 April 2016 |
| Link to Fulltext |
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