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Инд. авторы: Khakimzyanov G., Dutykh D., Fedotova Z.I.
Заглавие: Dispersive shallow water wave modelling. Part III: Model derivation on a globally spherical geometry
Библ. ссылка: Khakimzyanov G., Dutykh D., Fedotova Z.I. Dispersive shallow water wave modelling. Part III: Model derivation on a globally spherical geometry // Communications in Computational Physics. - 2018. - Vol.23. - Iss. 2. - P.315-360. - ISSN 1815-2406. - EISSN 1991-7120. - http://www.global-sci.com/issue/v23/n2/pdf/315.pdf
Внешние системы: DOI: 10.4208/cicp.OA-2016-0179c; WoS: 000426270200001;
Реферат: eng: The present article is the third part of a series of papers devoted to the shallow water wave modelling. In this part we investigate the derivation of some long wave models on a deformed sphere. We propose first a suitable for our purposes formulation of the full EULER equations on a sphere. Then, by applying the depth-averaging procedure we derive first a new fully nonlinear weakly dispersive base model. After this step we show how to obtain some weakly nonlinear models on the sphere in the so-called BOUSSINESQ regime. We have to say that the proposed base model contains an additional velocity variable which has to be specified by a closure relation. Physically, it represents a dispersive correction to the velocity vector. So, the main outcome of our article should be rather considered as a whole family of long wave models.
Ключевые слова: TSUNAMI; LONG WAVES; FLAT SPACE; INDIAN-OCEAN; BOUSSINESQ EQUATIONS; SURFACE-WAVES; SIMULATION; SUMATRA-ANDAMAN EARTHQUAKE; flow on sphere; spherical geometry; nonlinear dispersive waves; long wave approximation; Motion on a sphere; ROTATING SPHERE; PROPAGATION;
Издано: 2018
Физ. характеристика: с.315-360
Ссылка: http://www.global-sci.com/issue/v23/n2/pdf/315.pdf