摘要
本文用W. H.Hui和G.Tenti提出的方法,在(X,φ)半物理平面上重新给出了水波运动的数学表述,并考虑了表面张力的影响。我们引进了无量纲数K=TK^2/ρg来反映表面张力的相对大小。导出方程和边界条件后,借助于REDUCE解析语言(symbolic Computation),求得了毛细重力波的摄动级数解以及相速度、波形等有关物理量。此结果可以用来作为计算翻卷破碎波(plunging breaking waves)的初始条件。
In this paper, we provide a new mathematical formulation on semi-physical plane (x, ψ), which is originally suggested by W. H. Hui and G. Tenti, taking into consideration the effects of surface tension. As a measurement of its relative importance, a dimensionless parameter k = TK2/σg is introduced. Relying on Reduce language for symbolic computation, we find perturbation solution and corresponding physical variables such as wave shape, phase velocity etc. The truncated results turn out in complete agreement with Hogan's.
出处
《力学学报》
EI
CSCD
北大核心
1989年第2期145-153,共9页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金会
中国科学院资源环境局的资助
关键词
表面张力
毛细重力波
水波
摄动解
gravity-capillary wave, surface tension, Reduce language.
