三阶非线性海浪波面斜率的联合概率统计分布

张书文; 孙孚; 管长龙

三阶非线性海浪波面斜率的联合概率统计分布

青岛海洋大学海洋环境学院, 青岛 266003

基金项目: 国家自然科学基金(编号:49676274)

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出版历程
- 收稿日期: 1998-01-20
- 修回日期: 1998-06-15

Joint statistical distribution of surface slopes for the third-ordernonlinear random sea waves

Marine Environmental College, Ocean University of Qingdao, Qingdao 266003

摘要

摘要: 从Longuet-Higgins于1963年建立的非线性随机海浪模型出发,对各向同性波面斜率的联台概率统计分布进行了理论研究.结果表明,在三阶近似下,波面斜率联合概率统计分有为截断的Gram-Charlier级数,截断的项数取决于非线性近似的阶数,每一阶近似均对前一阶近似结果有所修正如果不考虑非线性耦合相互作用的影响,则分布蜕化为高斯分布.
- 非线性统计分布 /
- 波面斜率 /
- 耦合矩
Abstract: Based upon honguet-Higgins's nonlinear model of randan sea waves,the joint statistical distribution of isotopic,surface slopes exact to the third-order is derived.It is shown that the joirn distribution of surface slopes has the form of truncated Gram-Charlier seties.The trtutcated terms are decided by the order of approximation to nonlinearity of sea waves.For each order appteuumatiorr,the coefficients in the series are modified comparatively to the cosesponding ones for the previous order apprardrnation.The distribution reduces to Gaussian if the effeM of nonlinear wave-wave couplinK tnteraction is excluded.
- Nonlinear statistical distribution /
- wave surface slopes /
- coupling mument

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参考文献(17)

Cox C S,Munk W H.Measurement of the roughness of the sea surface frart photographs of the sari s glitter.j.Opi.Soc.Amen.,1954,44,838-850

Cox C S,Munk W H.Statistics of the sea surface derived form sun glitter.J.Mar.Res.,1954,13,198-227

Bataick D E.Wind dependence of quasi-specular microwave sea scatter.IEEE.Traps.Antennas Propag.,AP-22,1974,135-136

Jackson F C.The reflection of impulses fnyn a nonlinear random sea.J.Geophys.Res.,1979,84,4939-4943

Plant W J.Atvco-scale model of short wind generated waves and scatterometry.J.Geophys.Res.,1986,91,10735-10749

Weissmen D.The dependence of the microwave radar cross secticm on ocean surface variables:canparison of measurements and theory using data flan the Frattal Air-Sea Interaction Experiment(PASINEX).J.Geopttvs.Res.,1990,95,3387-3398

Berrick D E.A relationship between the slope probability density function and the physical optics integral in rough surface scattering.Ptoc.IEEE.,1968,36,1728-1729

Bartick D E.Rottght surface scattering based on the sperular point theory.IEEE.Traps.Antennas Propag.,AP-16,1968,449-454

Longuet-Higgiris MS.On the dynamics of steep gravity waves in deep water.In:Turbulent Flwtes Through the Sea Surface.Wave Dynamics and Wave Predictiat,Favre A,Hassehnann K eds,Plentan,New York,1978,199-218

Phillips O M.Spectral and statistical properties of the equilibrium range in wind-generated gravity waves.J.Fluid Mech.,1985,156,505-531

Resio D,Pexrie W.A ntanericsl study of nonlinear energy fluxes due to wave-wave interactions.J.Fluid Mech.,1991,223,603-629

Wu J.Nlattentum flux fran wind ro aqueous fkrws at various wind velocities and fetches.J.Phys.Oceanogr.,1987,18,140-144

Duneian M.Air-sea entetacaat.In:the Sea.Vol.9.New York:John Wiley,1990

Imguet-Higgins M S.The effect of tranlinearities on statistical disaibutiats in the theory of sea waves.J.Fluid Mech.,1963,17(3):459-480

Srokosz M A.At dte joint distribution of surface elevation and slopes for a nonlinear randan sea,with an application to radar altimetry.J.Geophys.Res.,1986,91(CI):995-1006

Hung N E,Long S R.An experimental study of the surface elevation probability distribution and statistics of wind-generated waves.J.Flied Mech.,1980,101(1):179-200

孙孚,丁平兴.非线性海浪的波面高度概率分布及其物理解释.中国科学(B辑),1994,24(8):859-865

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