| Инд. авторы: | Fedotova Z.I., Gusev O.I., Khakimzyanov G.S. |
| Заглавие: | New algorithm for numerical simulation of surface waves within the framework of the full nonlinear dispersive model |
| Библ. ссылка: | Fedotova Z.I., Gusev O.I., Khakimzyanov G.S. New algorithm for numerical simulation of surface waves within the framework of the full nonlinear dispersive model // Proceedings of VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS-2016): Crete Island, Greece, 5–10 June 2016. - 2016. - Vol.1. - P.1093-1103. - ISBN: 978-618-82844-0-1. |
| Внешние системы: | РИНЦ: 27590242; SCOPUS: 2-s2.0-84995466851; |
| Реферат: | eng: The paper describes a new numerical method for modeling long waves with dispersion on a rotating attracting sphere. The algorithm is presented in the form of a finite-difference scheme of predictor-corrector, so that at each step the inhomogeneous hyperbolic system similar to classical shallow water equations with a right-hand side, and the uniformly elliptic equation are solved alternately. Necessary conditions for the stability of the method are obtained and the dispersion properties are investigated. |
| Ключевые слова: | Dispersion; Finite difference method; Nonlinear dispersive equations on a sphere; Numerical algorithm; Stability; Nonlinear equations; Uniformly elliptic equations; Shallow water equations; Predictor corrector; Numerical algorithms; Nonlinear dispersive equations; Finite difference scheme; Dispersion properties; Surface waves; Numerical methods; Finite difference method; Equations of motion; Dispersion (waves); Convergence of numerical methods; Computational methods; Surface waves; Nonlinear dispersive; |
| Издано: | 2016 |
| Физ. характеристика: | с.1093-1103 |
| Конференция: | Название: VII European Congress on Computational Methods in Applied Sciences and Engineering Аббревиатура: ECCOMAS-2016 Город: Crete Island Страна: Greece Даты проведения: 2016-06-05 - 2016-06-10 Ссылка: https://www.eccomas2016.org/ |
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