ASSESSING THE FREQUENCY DISPERSION INFLUENCE ON THE SOLITARY-WAVE INTERACTION WITH A CONSTANT SLOPING BEACH

O. I. Gusev; G. S. Khakimzyanov; L. B. Chubarov; D. Dutykh

doi:10.1134/S0021894421040118

ASSESSING THE FREQUENCY DISPERSION INFLUENCE ON THE SOLITARY-WAVE INTERACTION WITH A CONSTANT SLOPING BEACH

O. I. Gusev, G. S. Khakimzyanov, L. B. Chubarov, D. Dutykh

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Abstract: This article focuses on the effect of frequency dispersion on the wave run-up height and the characteristics of the surface waves reflected from a coastal slope. Calculations are performed within the framework of nonlinear dispersive and nondispersive shallow water models using the original boundary conditions on a moving shoreline. A case study of the problem of solitary wave run-up on flat coastal slopes with parameters close to the characteristics of one of the Kamchatka bays shows that the nondispersive model overestimates the maximum run-up and amplitudes of the reflected waves by 10–20%.

Original language	British English
Pages (from-to)	624-632
Number of pages	9
Journal	Journal of Applied Mechanics and Technical Physics
Volume	62
Issue number	4
DOIs	https://doi.org/10.1134/S0021894421040118
State	Published - Jul 2021

Keywords

coastal run-up
nonlinear dispersive shallow water equations
numerical modeling
shoreline
shoreline boundary conditions
surface waves

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10.1134/S0021894421040118

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@article{a782de4e617d4acba0bb2470d23b1205,

title = "ASSESSING THE FREQUENCY DISPERSION INFLUENCE ON THE SOLITARY-WAVE INTERACTION WITH A CONSTANT SLOPING BEACH",

abstract = "Abstract: This article focuses on the effect of frequency dispersion on the wave run-up height and the characteristics of the surface waves reflected from a coastal slope. Calculations are performed within the framework of nonlinear dispersive and nondispersive shallow water models using the original boundary conditions on a moving shoreline. A case study of the problem of solitary wave run-up on flat coastal slopes with parameters close to the characteristics of one of the Kamchatka bays shows that the nondispersive model overestimates the maximum run-up and amplitudes of the reflected waves by 10–20%.",

keywords = "coastal run-up, nonlinear dispersive shallow water equations, numerical modeling, shoreline, shoreline boundary conditions, surface waves",

author = "Gusev, {O. I.} and Khakimzyanov, {G. S.} and Chubarov, {L. B.} and D. Dutykh",

note = "Funding Information: The work has been supported by State assignment of the Federal Research Center for Information and Computational Technologies and by the French National Research Agency through the Investments for Future Program (No. ANR-18-EURE-0016 — Solar Academy); the work presented in the Solution Method Section was supported by the Russian Scientific Foundation (Grant No. 21-71-00127). Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = jul,

doi = "10.1134/S0021894421040118",

language = "British English",

volume = "62",

pages = "624--632",

journal = "Journal of Applied Mechanics and Technical Physics",

issn = "0021-8944",

publisher = "Pleiades Publishing",

number = "4",

}

TY - JOUR

T1 - ASSESSING THE FREQUENCY DISPERSION INFLUENCE ON THE SOLITARY-WAVE INTERACTION WITH A CONSTANT SLOPING BEACH

AU - Gusev, O. I.

AU - Khakimzyanov, G. S.

AU - Chubarov, L. B.

AU - Dutykh, D.

N1 - Funding Information: The work has been supported by State assignment of the Federal Research Center for Information and Computational Technologies and by the French National Research Agency through the Investments for Future Program (No. ANR-18-EURE-0016 — Solar Academy); the work presented in the Solution Method Section was supported by the Russian Scientific Foundation (Grant No. 21-71-00127). Publisher Copyright: © 2021, Pleiades Publishing, Ltd.

PY - 2021/7

Y1 - 2021/7

N2 - Abstract: This article focuses on the effect of frequency dispersion on the wave run-up height and the characteristics of the surface waves reflected from a coastal slope. Calculations are performed within the framework of nonlinear dispersive and nondispersive shallow water models using the original boundary conditions on a moving shoreline. A case study of the problem of solitary wave run-up on flat coastal slopes with parameters close to the characteristics of one of the Kamchatka bays shows that the nondispersive model overestimates the maximum run-up and amplitudes of the reflected waves by 10–20%.

AB - Abstract: This article focuses on the effect of frequency dispersion on the wave run-up height and the characteristics of the surface waves reflected from a coastal slope. Calculations are performed within the framework of nonlinear dispersive and nondispersive shallow water models using the original boundary conditions on a moving shoreline. A case study of the problem of solitary wave run-up on flat coastal slopes with parameters close to the characteristics of one of the Kamchatka bays shows that the nondispersive model overestimates the maximum run-up and amplitudes of the reflected waves by 10–20%.

KW - coastal run-up

KW - nonlinear dispersive shallow water equations

KW - numerical modeling

KW - shoreline

KW - shoreline boundary conditions

KW - surface waves

UR - http://www.scopus.com/inward/record.url?scp=85119997338&partnerID=8YFLogxK

U2 - 10.1134/S0021894421040118

DO - 10.1134/S0021894421040118

M3 - Article

AN - SCOPUS:85119997338

SN - 0021-8944

VL - 62

SP - 624

EP - 632

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

IS - 4

ER -

ASSESSING THE FREQUENCY DISPERSION INFLUENCE ON THE SOLITARY-WAVE INTERACTION WITH A CONSTANT SLOPING BEACH

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Keywords

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