均匀介质<i>n</i>维随机波动的空间结构

均匀介质n维随机波动的空间结构

基金项目: 国家自然科学基金资助项目(编号:49406064)

1.
Institute of Physical Oceanography, Ocean Universiyt of Qingdao, Qingdao 266003
2.
Physical Oceanography Laboratory, Ocean University of Qingdao, Qingdao 266003

摘要: 研究了均匀介质中n维随机波动的空间结构.导出了外观振幅、波数和相位的联合分布,据此分布,所有与空间有关的波要素的统计分布皆可导出.定义了外观波数谱并得到了其平衡区指数的上界为一(n+2).二维时,海浪外观波数谱平衡区指数的上界与Phillips通过动力学分析导出的Fourier波数谱平衡区指数完全一样.
- 随机波动 /
- 空间结构 /
- 外观波数谱
Abstract: This study is concerned with the spatial structures of n-dimensional random waves in homogenexus media.The joint probability distribution of apparent amplitude,wave number and phase is derived.Based on this joint distribution, we define the apparent wave number spectrum and derive that the upper limit of the equilibrium range exponent of this spectrum is-(n+2).In case of 2-dimension, the upper limit of the equilibrium range exponent of the apparent wave number spectrum is consistent with the equilibrium range exponent of the Fourier wave number spectrum derived from dynamics.
- Random waves /
- spatial structure /
- apparent wave number spectrum

Sun Fu.DinK PinKxinK.Apparent energy distnhution of Sea aves.Science in China (series B),1995.38,116-123

孙孚.三维海浪要素的统计分布.中国科学(A辑).1988,(5):501-508

Phillips O M.The equilibrium range in the spectrum of wind-generated ocean waves.J.Fluid Mech.,1958.4.426-423

Sun Fu,Ding Pingxing,Uuan Changlong.The statistical distribution of spatial maxima of a sea wave surface.Chin.J.Uceanol.Limnol.,1994,12(1):1-12

Farge M.Wavelet transforms and their applications to turbulence.Annu.Rev.Fluid Mech.,]992,24,395-457