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 Full article

Conference

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

Journal

Journal of Physics: Conference Series
ISSN: 1742-6588

Output data

Year: 2020, Volume: 1666, Article number : 012064, Pages count : DOI: 10.1088/1742-6596/1666/1/012064

Authors

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

Affiliations

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

Funding (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

Accepted:	Oct 1, 2020
Published online:	Nov 20, 2020

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

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