Equilibrium range cascades of wind-generated waves

William Perrie; Vladimir Zakharov

doi:10.1016/S0997-7546(99)80034-X

Equilibrium range cascades of wind-generated waves

William Perrie
, Vladimir Zakharov

Mathematics

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

6 Scopus citations

Abstract

It was established theoretically by Zakharov and Filonenko (1966) that the direct cascade region of the equilibrium range of the spectrum should follow an f^-4 variation. This has since been verified from experimental data, by Toba (1973), Donelan et al (1985) and others. In this study we present a numerical verification of this f^-4 variation, assuming physically realistic parameterizations for nonlinear wave-wave interactions, S_nl, for energy input to waves by the wind, S_in and removed by wave - breaking dissipation, S_ds.

Original language	English (US)
Pages (from-to)	365-371
Number of pages	7
Journal	European Journal of Mechanics, B/Fluids
Volume	18
Issue number	3
DOIs	https://doi.org/10.1016/S0997-7546(99)80034-X
State	Published - 1999
Event	Proceedings of the 1998 IUTAM Symposium on Three-Dimensional Aspects of Air-Sea Interaction - Nice, Italy Duration: May 17 1998 → May 21 1998

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy

Access to Document

10.1016/S0997-7546(99)80034-X

Cite this

@article{f9b41467532f42d5ae8369d2c4460b2f,

title = "Equilibrium range cascades of wind-generated waves",

abstract = "It was established theoretically by Zakharov and Filonenko (1966) that the direct cascade region of the equilibrium range of the spectrum should follow an f-4 variation. This has since been verified from experimental data, by Toba (1973), Donelan et al (1985) and others. In this study we present a numerical verification of this f-4 variation, assuming physically realistic parameterizations for nonlinear wave-wave interactions, Snl, for energy input to waves by the wind, Sin and removed by wave - breaking dissipation, Sds.",

author = "William Perrie and Vladimir Zakharov",

note = "Funding Information: The wave modeling program at BIO is funded by the Federal Panel on Energy Research and Development (Canada) under Project 534201. This research was also funded by the Wave Prediction Base Enhancement Program of the Office of Naval Research and by the ONR grant N 00014-98-1-0070.; Proceedings of the 1998 IUTAM Symposium on Three-Dimensional Aspects of Air-Sea Interaction ; Conference date: 17-05-1998 Through 21-05-1998",

year = "1999",

doi = "10.1016/S0997-7546(99)80034-X",

language = "English (US)",

volume = "18",

pages = "365--371",

journal = "European Journal of Mechanics, B/Fluids",

issn = "0997-7546",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - Equilibrium range cascades of wind-generated waves

AU - Perrie, William

AU - Zakharov, Vladimir

N1 - Funding Information: The wave modeling program at BIO is funded by the Federal Panel on Energy Research and Development (Canada) under Project 534201. This research was also funded by the Wave Prediction Base Enhancement Program of the Office of Naval Research and by the ONR grant N 00014-98-1-0070.

PY - 1999

Y1 - 1999

N2 - It was established theoretically by Zakharov and Filonenko (1966) that the direct cascade region of the equilibrium range of the spectrum should follow an f-4 variation. This has since been verified from experimental data, by Toba (1973), Donelan et al (1985) and others. In this study we present a numerical verification of this f-4 variation, assuming physically realistic parameterizations for nonlinear wave-wave interactions, Snl, for energy input to waves by the wind, Sin and removed by wave - breaking dissipation, Sds.

AB - It was established theoretically by Zakharov and Filonenko (1966) that the direct cascade region of the equilibrium range of the spectrum should follow an f-4 variation. This has since been verified from experimental data, by Toba (1973), Donelan et al (1985) and others. In this study we present a numerical verification of this f-4 variation, assuming physically realistic parameterizations for nonlinear wave-wave interactions, Snl, for energy input to waves by the wind, Sin and removed by wave - breaking dissipation, Sds.

UR - https://www.scopus.com/pages/publications/0033130938

UR - https://www.scopus.com/pages/publications/0033130938#tab=citedBy

U2 - 10.1016/S0997-7546(99)80034-X

DO - 10.1016/S0997-7546(99)80034-X

M3 - Conference article

AN - SCOPUS:0033130938

SN - 0997-7546

VL - 18

SP - 365

EP - 371

JO - European Journal of Mechanics, B/Fluids

JF - European Journal of Mechanics, B/Fluids

IS - 3

T2 - Proceedings of the 1998 IUTAM Symposium on Three-Dimensional Aspects of Air-Sea Interaction

Y2 - 17 May 1998 through 21 May 1998

ER -

Equilibrium range cascades of wind-generated waves

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this