Freely Decaying Weak Turbulence for Sea Surface Gravity Waves

M. Onorato; A. R. Osborne; M. Serio; D. Resio; A. Pushkarev; V. E. Zakharov; C. Brandini

doi:10.1103/PhysRevLett.89.144501

Freely Decaying Weak Turbulence for Sea Surface Gravity Waves

M. Onorato, A. R. Osborne, M. Serio, D. Resio, A. Pushkarev, V. E. Zakharov, C. Brandini

Mathematics

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

81 Scopus citations

Abstract

We study the long-time evolution of deep-water ocean surface waves in order to better understand the behavior of the nonlinear interaction processes that need to be accurately predicted in numerical models of wind-generated ocean surface waves. Of particular interest are those nonlinear interactions which are predicted by weak turbulence theory to result in a wave energy spectrum of the form of [Formula presented]. We numerically implement the primitive Euler equations for surface waves and demonstrate agreement between weak turbulence theory and the numerical results.

Original language	English (US)
Journal	Physical review letters
Volume	89
Issue number	14
DOIs	https://doi.org/10.1103/PhysRevLett.89.144501
State	Published - 2002

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1103/PhysRevLett.89.144501

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title = "Freely Decaying Weak Turbulence for Sea Surface Gravity Waves",

abstract = "We study the long-time evolution of deep-water ocean surface waves in order to better understand the behavior of the nonlinear interaction processes that need to be accurately predicted in numerical models of wind-generated ocean surface waves. Of particular interest are those nonlinear interactions which are predicted by weak turbulence theory to result in a wave energy spectrum of the form of [Formula presented]. We numerically implement the primitive Euler equations for surface waves and demonstrate agreement between weak turbulence theory and the numerical results.",

author = "M. Onorato and Osborne, {A. R.} and M. Serio and D. Resio and A. Pushkarev and Zakharov, {V. E.} and C. Brandini",

note = "Funding Information: This work was supported by the ONR, U.S.A. (T. F. Swean, Jr.) and by the U.S. Army Corps of Engineers, RDT&E program, Grant No. DACA 42-00-C-0044. Torino University funds (60%) are also acknowledged. V. Z. and A. P. acknowledge the support by ONR, Grant No. N00014-98-10439. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",

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AU - Onorato, M.

AU - Osborne, A. R.

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AU - Resio, D.

AU - Pushkarev, A.

AU - Zakharov, V. E.

AU - Brandini, C.

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PY - 2002

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N2 - We study the long-time evolution of deep-water ocean surface waves in order to better understand the behavior of the nonlinear interaction processes that need to be accurately predicted in numerical models of wind-generated ocean surface waves. Of particular interest are those nonlinear interactions which are predicted by weak turbulence theory to result in a wave energy spectrum of the form of [Formula presented]. We numerically implement the primitive Euler equations for surface waves and demonstrate agreement between weak turbulence theory and the numerical results.

AB - We study the long-time evolution of deep-water ocean surface waves in order to better understand the behavior of the nonlinear interaction processes that need to be accurately predicted in numerical models of wind-generated ocean surface waves. Of particular interest are those nonlinear interactions which are predicted by weak turbulence theory to result in a wave energy spectrum of the form of [Formula presented]. We numerically implement the primitive Euler equations for surface waves and demonstrate agreement between weak turbulence theory and the numerical results.

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