定深水中重力波的非线性相互作用

Q4 Environmental Science
K. Szmidt, B. Hedzielski
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引用次数: 0

摘要

摘要本文研究了在定深流体中传播的水波之间的相互作用。在这个问题的表述中,考虑了这些相互作用的非线性特性。特别地,为了简化自由表面上非线性边界条件的解,在描述现象时采用了一个材料坐标系统作为自变量。主要关注从静止开始的流体运动的瞬态解。对于所考虑的初值问题,我们将注意力局限于有限流体域。对于从起点测量的有限时间流逝,有限流体区域内的解模拟无限域中的解,这是波传播问题固有的。由于描述非线性波的方程结构复杂,本文考虑了一种近似公式,该公式基于因变量对一个小参数的幂级数展开。这种解被认为是准确地描述了这一现象的主要特征。数值实验验证了本文提出的近似公式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonlinear Interactions between Gravity Waves in Water of Constant Depth
Abstract The paper deals with interactions between water waves propagating in fluid of constant depth. In formulation of this problem, a nonlinear character of these interactions is taken into account. In particular, in order to simplify a solution to nonlinear boundary conditions at the free surface, a system of material coordinates is employed as independent variables in the description of the phenomenon. The main attention is focused on the transient solutions corresponding to fluid motion starting from rest. With respect to the initial value problem considered, we confine our attention to a finite fluid domain. For a finite elapse of time, measured from the starting point, the solution in a finite fluid area mimics a solution within an infinite domain, inherent for wave propagation problems. Because of the complicated structure of equations describing nonlinear waves, an approximate formulation is considered, which is based on a power series expansion of dependent variables with respect to a small parameter. Such a solution is assumed to be accurate in describing the main features of the phenomenon. Numerical experiments are conducted to illustrate the approximate formulation developed in this paper.
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来源期刊
Archives of Hydroengineering and Environmental Mechanics
Archives of Hydroengineering and Environmental Mechanics Environmental Science-Water Science and Technology
CiteScore
1.30
自引率
0.00%
发文量
4
期刊介绍: Archives of Hydro-Engineering and Environmental Mechanics cover the broad area of disciplines related to hydro-engineering, including: hydrodynamics and hydraulics of inlands and sea waters, hydrology, hydroelasticity, ground-water hydraulics, water contamination, coastal engineering, geotechnical engineering, geomechanics, structural mechanics, etc. The main objective of Archives of Hydro-Engineering and Environmental Mechanics is to provide an up-to-date reference to the engineers and scientists engaged in the applications of mechanics to the analysis of various phenomena appearing in the natural environment.
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