Overtopping a truncated planar beach
Overtopping a truncated planar beach
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越过截断的平面海滩
DOI：
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发表时间：
2010
影响因子：
3.7
通讯作者：
D. Pritchard
中科院分区：
文献类型：
--
作者：
A. Hogg;T. Baldock;D. Pritchard
本文对截断的不透水海滩上的爬高进行了理论和实验分析，以确定与单个波浪事件相关的流过海滩末端的流体体积。理论计算使用浅水方程研究运动，并且允许流体自由地流过海滩的末端。两种模型的波事件被认为是：溃坝的初始条件，其中流体崩溃从休息到运行和过顶的海滩，和一个波形，模型与一个长的孤立孔的崩溃冲。使用准分析技术进行计算，以下速端变换的控制方程。他们产生的体积的流体每单位宽度的预测，超过海滩，主要是作为一个功能的无量纲长度的海滩。这些预测往往远远超过以前的理论计算。新的实验结果也报道，其中的漫顶量由于从溃坝条件下启动的流量进行了研究，为一系列的水库长度和高度，并为一系列的长度和倾斜度的海滩。不需要任何经验拟合的参数，良好的协议之间的实验测量和理论预测的阻力的影响可以忽略不计的制度。
Run-up on a truncated impermeable beach is analysed theoretically and experimentally to find the volume of fluid, associated with a single wave event, that flows over the end of the beach. The theoretical calculations investigate the motion using the shallow-water equations and the fluid is allowed to flow freely over the end of the beach. Two models of wave events are considered: dam-break initial conditions, in which fluid collapses from rest to run-up and overtop the beach, and a waveform that models swash associated with the collapse of a long solitary bore. The calculations are made using quasi-analytical techniques, following the hodograph transformation of the governing equations. They yield predictions for the volume of fluid per unit width that overtops the beach, primarily as a function of the dimensionless length of the beach. These predictions are often far in excess of previous theoretical calculations. New experimental results are also reported in which the overtopping volumes due to flows initiated from dam-break conditions are studied for a range of reservoir lengths and heights and for a range of lengths and inclinations of the beach. Without the need for any empirically fitted parameters, good agreement is found between the experimental measurements and the theoretical predictions in regimes for which the effects of drag are negligible.