| Инд. авторы: | Beisel S.A., Tolchennikov A.A. |
| Заглавие: | Localized vortices in a nonlinear shallow water model: Examples and numerical experiments |
| Библ. ссылка: | Beisel S.A., Tolchennikov A.A. Localized vortices in a nonlinear shallow water model: Examples and numerical experiments // Journal of Physics: Conference Series. - 2016. - Vol.722. - Iss. 1. - Art.012038. - ISSN 1742-6588. - EISSN 1742-6596. |
| Внешние системы: | DOI: 10.1088/1742-6596/722/1/012038; РИНЦ: 27094295; SCOPUS: 2-s2.0-84979273049; WoS: 000383013800038; |
| Реферат: | eng: Exact solutions of the system of nonlinear shallow water equations on paraboloid are constructed by the method of group analysis. These solutions describe fast wave motion of the fluid layer and slow evolution of symmetric localized vortices. Explicit formulae are obtained for asymptotic solution related to the linear shallow water approximation. Numerical methods are used by the modeling the trajectory of the vortex center in the case of asymmetric vortices. |
| Ключевые слова: | Asymmetric vortices; Vortex flow; Numerical methods; Equations of motion; Nonlinear equations; Numerical experiments; Nonlinear shallow water; Non-linear shallow water equations; Localized vortices; Explicit formula; Shallow water approximation; Asymptotic solutions; |
| Издано: | 2016 |
| Физ. характеристика: | 012038 |
| Конференция: | Название: All-Russian Conference on Nonlinear Waves: Theory and New Applications Аббревиатура: WAVE16 Город: Novosibirsk Страна: Russia Даты проведения: 2016-02-29 - 2016-03-02 |
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