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    A Quasi-linear Eddy-Viscosity Model for the Flux of Energy and Momentum to Wind Waves Using Conservation-Law Equations in a Curvilinear Coordinate System

    Source: Journal of Physical Oceanography:;1992:;Volume( 022 ):;issue: 008::page 843
    Author:
    Jenkins, Alastair D.
    DOI: 10.1175/1520-0485(1992)022<0843:AQLEVM>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: The airflow above ocean waves is calculated using a quasi-linear model?one in which the effect of the waves on the mean flow is taken into account. The model uses curvilinear coordinates, in which one coordinate surface coincides with the instantaneous sea surface, and is consequently able to attain fine vertical resolution in the boundary layer just above the sea surface; the model equations are formulated in conservation-law form. The rates of energy and momentum input to the wave field are calculated from the oscillatory pressure and shear-stress components at the water surface. The equations are solved iteratively using a logarithmically spaced finite-difference mesh. The effect of air turbulence is modeled using a vertically varying shear-stress?dependent eddy viscosity, which acts on the wave-correlated oscillatory motions as well as on the mean flow field. For infinitesimal waves the model agrees with the results of Conte and Miles as the Newtonian viscosity and eddy viscosity that act on the oscillatory motions are reduced toward zero, and it converges slowly toward the results of Jacobs' analytical eddy viscosity model as the drag coefficient is reduced. In agreement with results from Janssen's simpler quasi-linear model, there is increased wave-induced drag for young wind seas with unidirectional JONSWAP spectra and Phillips constant proportional to the (?3/2) power of wave age. The present model gives similar values for wave drag and wave energy input to Janssen's, for the same values of roughness length and Phillips constant, and the spectral distribution of the rate of energy input to the waves is also in reasonable agreement. The variation of drag coefficient with wave age is quite close to the results obtained by Maat, Kraan, and Oost from analysis of HEXMAX field data.
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      A Quasi-linear Eddy-Viscosity Model for the Flux of Energy and Momentum to Wind Waves Using Conservation-Law Equations in a Curvilinear Coordinate System

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4164965
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    contributor authorJenkins, Alastair D.
    date accessioned2017-06-09T14:50:21Z
    date available2017-06-09T14:50:21Z
    date copyright1992/08/01
    date issued1992
    identifier issn0022-3670
    identifier otherams-27908.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4164965
    description abstractThe airflow above ocean waves is calculated using a quasi-linear model?one in which the effect of the waves on the mean flow is taken into account. The model uses curvilinear coordinates, in which one coordinate surface coincides with the instantaneous sea surface, and is consequently able to attain fine vertical resolution in the boundary layer just above the sea surface; the model equations are formulated in conservation-law form. The rates of energy and momentum input to the wave field are calculated from the oscillatory pressure and shear-stress components at the water surface. The equations are solved iteratively using a logarithmically spaced finite-difference mesh. The effect of air turbulence is modeled using a vertically varying shear-stress?dependent eddy viscosity, which acts on the wave-correlated oscillatory motions as well as on the mean flow field. For infinitesimal waves the model agrees with the results of Conte and Miles as the Newtonian viscosity and eddy viscosity that act on the oscillatory motions are reduced toward zero, and it converges slowly toward the results of Jacobs' analytical eddy viscosity model as the drag coefficient is reduced. In agreement with results from Janssen's simpler quasi-linear model, there is increased wave-induced drag for young wind seas with unidirectional JONSWAP spectra and Phillips constant proportional to the (?3/2) power of wave age. The present model gives similar values for wave drag and wave energy input to Janssen's, for the same values of roughness length and Phillips constant, and the spectral distribution of the rate of energy input to the waves is also in reasonable agreement. The variation of drag coefficient with wave age is quite close to the results obtained by Maat, Kraan, and Oost from analysis of HEXMAX field data.
    publisherAmerican Meteorological Society
    titleA Quasi-linear Eddy-Viscosity Model for the Flux of Energy and Momentum to Wind Waves Using Conservation-Law Equations in a Curvilinear Coordinate System
    typeJournal Paper
    journal volume22
    journal issue8
    journal titleJournal of Physical Oceanography
    identifier doi10.1175/1520-0485(1992)022<0843:AQLEVM>2.0.CO;2
    journal fristpage843
    journal lastpage858
    treeJournal of Physical Oceanography:;1992:;Volume( 022 ):;issue: 008
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian