共振波相互作用引起的局部起动放大
Local Runup Amplification By Resonant Wave Interactions
摘要：
到目前为止，长波爬高的分析一直集中在寻找其最大值，未能捕捉到共振区的存在。采用一维非线性浅水方程组数值模拟方法，研究了平面和非平凡海滩边值问题。单色波，以及虚拟的波计记录从真正的海啸模拟，被用来作为强迫条件的BVP。入射波波长与海滩坡度之间存在共振现象，导致非主导波爬高增强。能量的演化揭示了存在准周期状态的情况下，正弦波，其中的能级，以及所需的时间，达到该状态，取决于入射波长为一个给定的海滩坡度。分散被发现稍微减少最大助跑的值，但不改变整体的图片。上升波和下降波都有上升放大现象。
英文摘要：
Until now the analysis of long wave runup on a plane beach has been focused on finding its maximum value, failing to capture the existence of resonant regimes. One-dimensional numerical simulations in the framework of the Nonlinear Shallow Water Equations (NSWE) are used to investigate the Boundary Value Problem (BVP) for plane and non-trivial beaches. Monochromatic waves, as well as virtual wave-gage recordings from real tsunami simulations, are used as forcing conditions to the BVP. Resonant phenomena between the incident wavelength and the beach slope are found to occur, which result in enhanced runup of non-leading waves. The evolution of energy reveals the existence of a quasi-periodic state for the case of sinusoidal waves, the energy level of which, as well as the time required to reach that state, depend on the incident wavelength for a given beach slope. Dispersion is found to slightly reduce the value of maximum runup, but not to change the overall picture. Runup amplification occurs for both leading elevation and depression waves.
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