非线性波波相互作用共轭源函数守恒量的分析

海浪组成波中的四波共振时满足谱作用量、谱能量及动量守恒,在变分同化所建立的波谱共轭方程中,对应于非线性波波相互作用源函数Boltzman积分形式,本文建立了其共轭源函数满足的守恒关系;实际海浪计算时广泛采用Hasselmannetal.(1985)的参数化方法,本文给出其综合作用表示式,证明也满足谱作用量、谱能量及动量守恒,并进一步导出了其共轭源函数中存在的守恒量。所有的共轭源函数守恒量只是对共轭算子而言的,对于共轭波谱则不存在相应的守恒关系。

Nonlinear waves and wave-structure interactions in marine hydrodynamics——Recent progress

We briefly review the recent progress in marine hydrodynamics.Developments in wave-structure interaction,wave-current interaction,Rogue waves,sloshing in liquid tanks and their applications in ocean engineering,such as Floating Production Storage and Offloading facility(FPSO) and Very Large Floating Structure(VLFS),are presented.