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Инд. авторы: Khakimzyanov G., Dutykh D.
Заглавие: Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models
Библ. ссылка: Khakimzyanov G., Dutykh D. Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models // Communications in Computational Physics. - 2020. - Vol.27. - Iss. 2. - P.321-378. - ISSN 1815-2406. - EISSN 1991-7120. - http://admin.global-sci.org/uploads/online_news/CiCP/201908101604-12317.pdf
Внешние системы: DOI: 10.4208/cicp.OA-2018-0294; РИНЦ: 41285946; WoS: 000501534800001;
Реферат: eng: In the present article we consider the problem of wave interaction with a partially immersed, but floating body. We assume that the motion of the body is prescribed. The general mathematical formulation for this problem is presented in the framework of a hierarchy of mathematical models. Namely, in this first part we formulate the problem at every hierarchical level. The special attention is paid to fully nonlinear and weakly dispersive models since they are most likely to be used in practice. For this model we have to consider separately the inner (under the body) and outer domains. Various approached to the gluing of solutions at the boundary is discussed as well. We propose several strategies which ensure the global conservation or continuity of some important physical quantities.
Ключевые слова: nonlinear dispersive waves; free surface flows; long waves; SHALLOW-WATER EQUATIONS; NUMERICAL-SIMULATION; SOLITARY WAVE; RIEMANN PROBLEM; REGULARIZATION; DERIVATION; PROPAGATION; SCHEMES; Floating body; wave/body interaction;
Издано: 2020
Физ. характеристика: с.321-378
Ссылка: http://admin.global-sci.org/uploads/online_news/CiCP/201908101604-12317.pdf
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