Dispersive and hyperbolic models for non-hydrostatic shallow water flows and their application to steep forced waves modelling

Dispersive and hyperbolic models for non-hydrostatic shallow water flows and their application to steep forced waves modelling Научная публикация

Конференция

IX Международная конференция, посвященная 120-летию со дня рождения академика Михаила Алексеевича Лаврентьева, «Лаврентьевские чтения по математике, механике и физике»
07-11 сент. 2020 , Новосибирск

Журнал

Journal of Physics: Conference Series
ISSN: 1742-6588

Вых. Данные

Год: 2020, Том: 1666, Номер статьи : 012064, Страниц : DOI: 10.1088/1742-6596/1666/1/012064

Авторы

Chebotnikov A V ¹ , Chesnokov A A ^1,2 , Khe A K ^1,2 , Liapidevskii V Yu ^1,2

Организации

1	Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia
2	Novosibirsk State University, Novosibirsk, Russia

Информация о финансировании (1)

Министерство науки и высшего образования Российской Федерации

FWGG-2021-0011

We propose a hyperbolic system of first-order equations that approximates the 1D Nwogu model of the shallow water theory for non-hydrostatic unsteady flows. Solitary waves in the framework of these models are constructed and studied. The evolution of solitary waves on a mildly sloping beach is considered. We show that the solution of the hyperbolic system practically coincides with the corresponding solution of the Nwogu dispersive equations. Steep forced water waves generated by a harmonically oscillating rectangular tank are studied both experimentally and numerically. A comparison of the solutions of the modified Green–Naghdi and Nwogu equations with the obtained experimental data is made.

Chebotnikov A.V. , Chesnokov A.A. , Khe A.K. , Liapidevskii V.Y.
Dispersive and hyperbolic models for non-hydrostatic shallow water flows and their application to steep forced waves modelling
Journal of Physics: Conference Series. 2020. V.1666. 012064 . DOI: 10.1088/1742-6596/1666/1/012064 Scopus РИНЦ OpenAlex

Принята к публикации:	1 окт. 2020 г.
Опубликована online:	20 нояб. 2020 г.

Scopus:	2-s2.0-85097106222
РИНЦ:	45102757
OpenAlex:	W3107936771

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