On Dissipation Function of Ocean Waves due to Whitecapping
On Dissipation Function of Ocean Waves due to Whitecapping
复制标题
白浪引起的海浪耗散函数研究
DOI：
10.1063/1.3241292
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
C. Tsitouras
中科院分区：
文献类型：
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作者：
V. E. Zakharov;A. Korotkevich;A. Prokofiev;T. Simos;G. Psihoyios;C. Tsitouras
哈塞尔曼动力学方程[1]对波系综作了统计描述。有几起灾难性事件超出了统计模型。在深部流体表面的重力波可能是最常见和最重要的事件，这类事件是白浪和波浪破碎。已有研究表明，这种效应会在波谱峰附近的能量含能区产生附加耗散，可用动力学方程中的经验耗散项来模拟。为了找出这一项与系统中的非线性(表面陡度)的依赖关系，我们进行了两个数值实验：三维流体力学框架下的弱非线性实验和二维流体力学框架下的完全非线性实验。尽管模型和初始条件有很大不同，但这两个实验都得到了接近的结果。所得数据可用来定义耗散系数耗散项随温度的变化关系的解析式。
The Hasselmann kinetic equation [1] provides a statistical description of waves ensemble. Several catastrophic events are beyond statistical model. In the case of gravity waves on the surface of the deep fluid may be the most frequent and important events of such kind are whitecapping and wave breaking. It was shown earlier that such effects leads to additional dissipation in the energy contaning region around waves spectral peak, which can be simulated by means of empiric dissipative term in kinetic equation. In order to find dependence of this term with respect to nonlinearity in the system (steepness of the surface) we preformed two numerical experiments: weakly nonlinear one in the framework of 3D hydrodynamics and fully nonlinear one for 2D hydrodynamic. In spite of significantly different models and initial conditions, both these experiments yielded close results. Obtained data can be used to define analytical formula for dependence of the dissipative term of dissipation coefficient with respect to ...