Deterministic modeling of driving and dissipation for ocean surface gravity waves in two horizontal dimensions

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4 Citations (Scopus)

Abstract

Previous work introducing deterministic modeling of driving and dissipation to nonlinear surface gravity wave dynamics is extended to two horizontal spatial dimensions. It is shown that the wave spectrum rapidly develops into a form with two important features. First the spectral peak location is determined by the wind speed and shifts toward lower wave numbers as a function of time. This is due in part to nonlinear interactions, but it is also due to the functional form of the wind-forcing term. In addition, the spectrum rapidly develops an asymptotic power law tail in the downwind direction. The spectral exponent governing the asymptotics is sensitively dependent on the precise form of the dissipation term, and it can be "tuned" by adjusting that term in a quantitatively established manner. The angular dependence of the wave spectrum is also obtained. The strength and the role of the nonlinear interactions in the development of the spectral shape are studied in detail. The question of whether the wave amplitude statistics approach a Gaussian form is investigated. We find that low-order odd moment is nonvanishing.

Original languageEnglish (US)
Pages (from-to)30-31
Number of pages2
JournalJournal of Geophysical Research C: Oceans
Volume107
Issue number8
StatePublished - Aug 15 2002

Fingerprint

ocean surface
Gravity waves
wave spectrum
gravity waves
strength (mechanics)
gravity
gravity wave
wind speed
Surface waves
surface wave
dissipation
sea surface
tail
statistics
oceans
wind forcing
modeling
power law
wind velocity
adjusting

Keywords

  • Angular spectrum
  • Deep water gravity waves
  • Deterministic modeling
  • Dissipation
  • Driving
  • Spectral evolution

ASJC Scopus subject areas

  • Geophysics
  • Oceanography
  • Forestry
  • Aquatic Science
  • Ecology
  • Condensed Matter Physics
  • Water Science and Technology
  • Soil Science
  • Geochemistry and Petrology
  • Earth-Surface Processes
  • Physical and Theoretical Chemistry
  • Polymers and Plastics
  • Atmospheric Science
  • Earth and Planetary Sciences (miscellaneous)
  • Space and Planetary Science
  • Materials Chemistry
  • Palaeontology

Cite this

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title = "Deterministic modeling of driving and dissipation for ocean surface gravity waves in two horizontal dimensions",
abstract = "Previous work introducing deterministic modeling of driving and dissipation to nonlinear surface gravity wave dynamics is extended to two horizontal spatial dimensions. It is shown that the wave spectrum rapidly develops into a form with two important features. First the spectral peak location is determined by the wind speed and shifts toward lower wave numbers as a function of time. This is due in part to nonlinear interactions, but it is also due to the functional form of the wind-forcing term. In addition, the spectrum rapidly develops an asymptotic power law tail in the downwind direction. The spectral exponent governing the asymptotics is sensitively dependent on the precise form of the dissipation term, and it can be {"}tuned{"} by adjusting that term in a quantitatively established manner. The angular dependence of the wave spectrum is also obtained. The strength and the role of the nonlinear interactions in the development of the spectral shape are studied in detail. The question of whether the wave amplitude statistics approach a Gaussian form is investigated. We find that low-order odd moment is nonvanishing.",
keywords = "Angular spectrum, Deep water gravity waves, Deterministic modeling, Dissipation, Driving, Spectral evolution",
author = "Jorge Willemsen",
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journal = "Journal of Geophysical Research: Oceans",
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PY - 2002/8/15

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N2 - Previous work introducing deterministic modeling of driving and dissipation to nonlinear surface gravity wave dynamics is extended to two horizontal spatial dimensions. It is shown that the wave spectrum rapidly develops into a form with two important features. First the spectral peak location is determined by the wind speed and shifts toward lower wave numbers as a function of time. This is due in part to nonlinear interactions, but it is also due to the functional form of the wind-forcing term. In addition, the spectrum rapidly develops an asymptotic power law tail in the downwind direction. The spectral exponent governing the asymptotics is sensitively dependent on the precise form of the dissipation term, and it can be "tuned" by adjusting that term in a quantitatively established manner. The angular dependence of the wave spectrum is also obtained. The strength and the role of the nonlinear interactions in the development of the spectral shape are studied in detail. The question of whether the wave amplitude statistics approach a Gaussian form is investigated. We find that low-order odd moment is nonvanishing.

AB - Previous work introducing deterministic modeling of driving and dissipation to nonlinear surface gravity wave dynamics is extended to two horizontal spatial dimensions. It is shown that the wave spectrum rapidly develops into a form with two important features. First the spectral peak location is determined by the wind speed and shifts toward lower wave numbers as a function of time. This is due in part to nonlinear interactions, but it is also due to the functional form of the wind-forcing term. In addition, the spectrum rapidly develops an asymptotic power law tail in the downwind direction. The spectral exponent governing the asymptotics is sensitively dependent on the precise form of the dissipation term, and it can be "tuned" by adjusting that term in a quantitatively established manner. The angular dependence of the wave spectrum is also obtained. The strength and the role of the nonlinear interactions in the development of the spectral shape are studied in detail. The question of whether the wave amplitude statistics approach a Gaussian form is investigated. We find that low-order odd moment is nonvanishing.

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KW - Deep water gravity waves

KW - Deterministic modeling

KW - Dissipation

KW - Driving

KW - Spectral evolution

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