Nonlinear wave evolution and runup in an inclined channel of a parabolic cross-section
Nonlinear wave evolution and runup in an inclined channel of a parabolic cross-section
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抛物线截面倾斜通道中的非线性波演化和上升
DOI：
10.1063/1.3623467
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发表时间：
2011
影响因子：
4.6
通讯作者：
E. Pelinovsky
中科院分区：
文献类型：
--
作者：
I. Didenkulova;E. Pelinovsky
研究了抛物线横截面的倾斜通道中长水波的非线性波浪动力学。当海浪进入并在狭窄的海湾或峡湾传播时，就会发生这种情况。在这种情况下，非线性浅水方程可以写成一维形式，并使用实线变换进行解析求解。这种方法概括了著名的卡里尔-格林斯潘变换，用于平面海滩上的长波爬升。在抛物线横截面的倾斜通道的情况下，它导致相关的球对称线性波动方程。因此，柯西问题的解可以用初等函数来表示，并且对于任何类型的初始条件都具有简单的形式（相对于分析）。考虑和分析了与各种局部初始条件相关的波型，对应于 N 波的演化和上升以及风的下降和建立松弛问题。特别注意波浪破碎准则...
Nonlinear wave dynamics of long water waves is studied in an inclined channel of a parabolic cross-section. Such situation occurs when sea waves enter and propagate in a narrow bay or a fjord. Nonlinear shallow water equations can in this case be written in 1D form and solved analytically with the use of the hodograph transformation. This approach generalizes the well-known Carrier-Greenspan transformation for long wave runup on a plane beach. In the case of an inclined channel of a parabolic cross-section, it leads to the associated spherical symmetrical linear wave equation. As a result, the solution of the Cauchy problem can be expressed in terms of elementary functions and has a simple form (with respect to analysis) for any kind of initial conditions. Wave regimes associated with various localized initial conditions, corresponding to problems of evolution and runup of N-waves and wind set-down and set-up relaxation, are considered and analyzed. Special attention is paid to the wave breaking criterion...