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首页> 外文期刊>The European physical journal: Special topics >Mach reflection and KP solitons in shallow water
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Mach reflection and KP solitons in shallow water

机译:浅水马赫反射和KP孤子

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摘要

Reflection of an obliquely incident solitary wave onto a vertical wall is studied analytically and experimentally. We use the Kadomtsev-Petviashivili (KP) equation to analyze the evolution and its asymptotic state. Laboratory experiments are performed using the laser induced fluorescent (LIF) technique, and detailed features and amplifications at the wall are measured. Due to the lack of physical interpretation of the theory, the numerical results were previously thought not in good agreement with the theory. With proper treatment, we demonstrate that the KP theory provides an excellent model to predict the present laboratory results as well as the previous numerical results. The KP theory also indicates that the present laboratory apparatus is too short to achieve the asymptotic state.The laboratory and numerical results suggest that the maximum of the predicted four-fold amplification would be difficult to be realized in the real-fluid environment.The reality of this amplification remains obscure.
机译:通过分析和实验研究了斜入射孤立波在垂直壁上的反射。我们使用Kadomtsev-Petviashivili(KP)方程来分析演化及其渐近状态。使用激光诱导荧光(LIF)技术进行实验室实验,并测量壁的详细特征和放大率。由于缺乏对理论的物理解释,因此以前认为数值结果与该理论不太吻合。通过适当的处理,我们证明KP理论提供了一个很好的模型来预测当前的实验室结果以及以前的数值结果。 KP理论还表明,目前的实验室设备太短,无法达到渐近状态。实验室和数值结果表明,在实际流体环境中难以实现预测的四倍扩增的最大值。这种放大仍然不清楚。

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