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

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Abstract

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.

Original languageEnglish
Article number012064
JournalJournal of Physics: Conference Series
Volume1666
Issue number1
DOIs
Publication statusPublished - 20 Nov 2020
Event9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics - Novosibirsk, Russian Federation
Duration: 7 Sep 202011 Sep 2020

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