| 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; РИНЦ: 46730916; SCOPUS: 2-s2.0-85060486209; 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.
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| Ключевые слова: | PROPAGATION; TSUNAMI; LONG WAVES; FLAT SPACE; INDIAN-OCEAN; BOUSSINESQ EQUATIONS; SURFACE-WAVES; ROTATING SPHERE; SUMATRA-ANDAMAN EARTHQUAKE; flow on sphere; spherical geometry; nonlinear dispersive waves; long wave approximation; Motion on a sphere; SIMULATION; |
| Издано: | 2018 |
| Физ. характеристика: | с.315-360 |
| Ссылка: | http://www.global-sci.com/issue/v23/n2/pdf/315.pdf |
