Current Effects on Nonlinear Interactions of Shallow-Water Waves
Current Effects on Nonlinear Interactions of Shallow-Water Waves
复制标题
DOI：
10.1061/(asce)0733-950x(1999)125:4(176
复制
发表时间：
1999-07
期刊：
影响因子：
--
通讯作者：
Q. Chen;P. Madsen;D. Basco
中科院分区：
文献类型：
--
作者：
Q. Chen;P. Madsen;D. Basco
本文主要研究了深度均匀流对浅水重力波近共振三波相互作用的影响。首先，我们从Yoon和Liu的恒定水深和环境流条件下的方程出发，导出了三者相互作用的演化方程。相反的电流增加了相位失配的大小，导致相互作用的程度降低，反之亦然。其次，利用波流相互作用的频散精度更高的改进Boussinesq模型，对对流和跟流浅水波的谐波产生和非线性浅水运动进行了数值试验。在没有环境流的情况下，数值模型预测结果与物理实验数据吻合较好，可作为揭示浅水波浪非线性相互作用的水流效应的基准。尽管相反的水流增加了波高，但它实际上降低了厄塞尔数，Beat-Leng…
This study focuses on the effects of depth-uniform currents on near-resonant triad interactions of gravity waves in shallow water. First, we derive the evolution equations for triad interactions based on Yoon and Liu's equations with a constant water depth and an ambient current. An opposing current increases the magnitude of phase mismatch, resulting in a reduction of the degree of interactions and vice versa for a following current. Second, numerical experiments on harmonic generation and nonlinear shoaling of shallow-water waves with opposing and following currents are given by the use of an enhanced Boussinesq model with higher dispersion accuracy for wave/current interaction. The numerical model predictions that are in good agreement with the physical experiment data in the absence of ambient currents serve as a benchmark to reveal the current effects on nonlinear interactions of shallow-water waves. Although an opposing current increases wave heights, it actually reduces the Ursell number, beat-leng...