Stochastic Form of the Growth of Wind Waves in a Single-Parameter Representation with Physical Implications
Stochastic Form of the Growth of Wind Waves in a Single-Parameter Representation with Physical Implications
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DOI：
10.1175/1520-0485(1978)008
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发表时间：
1978-05
影响因子：
3.5
通讯作者：
Y. Toba
中科院分区：
文献类型：
--
作者：
Y. Toba
本文证明了一个简单的关系式E* = 5.1 × 10−2 σm*−3描述风浪增长的条件，它得到各种现有数据的支持，其中E* = g ~ 2 E/u*4是无量纲能量。σm* = u*σm/g是能谱最大值处的无量纲角频率，g是重力加速度，u* 是空气的摩擦速度。该表达式是作者（Toba，1972）以前针对含能波提出的无量纲波高与周期之间关系式H* T*3/2的另一种形式，并在统计意义上扩展到风浪场中的单个波。在各种数据的支持下，还表明增长的风浪的一维能谱的基本部分对于频谱的高频尾部应该具有g*u*σ−4的形式，其中g* 是g扩展以包括表面张力。这是作者以前提出的形式（Toba，1973 b）作为一维谱形式consi...
Abstract It is shown that a simple relation, E* = 5.1 × 10−2 σm*−3 for describing the conditions of growing wind waves, is supported by various available data, where E* = g2E/u*4 is dimensionless energy. σm* = u*σm/g the dimensionless angular frequency at the maximum of the energy spectrum, g the acceleration of gravity and u* the friction velocity of the air. This expression is an alternative form of the relation between dimensionless wave height and period, H* ∝ T*3/2, which was previously proposed by the author (Toba, 1972) for energy-containing waves, and is extended to individual waves in the wind-wave field in a statistical sense. It is also shown, supported by various data, that the essential part of the one-dimensional energy spectra of growing wind waves should have the form g*u*σ−4 for the high-frequency tail of the frequency spectrum, where g* is g expanded to include the surface tension. This is the form previously proposed by the author (Toba, 1973b) as the one-dimensional spectral form consi...