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

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Dispersive and hyperbolic models for non-hydrostatic shallow water flows and their application to steep forced waves modelling. / Chebotnikov, A. V.; Chesnokov, A. A.; Khe, A. K. et al.

In: Journal of Physics: Conference Series, Vol. 1666, No. 1, 012064, 20.11.2020.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{4354fe2da31d4a04abb08a4252b969fe,

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

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.",

author = "Chebotnikov, {A. V.} and Chesnokov, {A. A.} and Khe, {A. K.} and Liapidevskii, {V. Yu}",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics ; Conference date: 07-09-2020 Through 11-09-2020",

year = "2020",

month = nov,

day = "20",

doi = "10.1088/1742-6596/1666/1/012064",

language = "English",

volume = "1666",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - Dispersive and hyperbolic models for non-hydrostatic shallow water flows and their application to steep forced waves modelling

AU - Chebotnikov, A. V.

AU - Chesnokov, A. A.

AU - Khe, A. K.

AU - Liapidevskii, V. Yu

PY - 2020/11/20

Y1 - 2020/11/20

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85097106222&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1666/1/012064

DO - 10.1088/1742-6596/1666/1/012064

M3 - Conference article

AN - SCOPUS:85097106222

VL - 1666

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012064

T2 - 9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics

Y2 - 7 September 2020 through 11 September 2020

ER -

ID: 26201491