Analytic Solution to the Modified Mild-Slope Equation for Reflection by a Rectangular Breakwater with Scour Trenches

Analytic Solution to the Modified Mild-Slope Equation for Reflection by a Rectangular Breakwater with Scour Trenches
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冲刷沟矩形防波堤反射修正缓坡方程的解析解

DOI:
10.1061/(asce)em.1943-7889.0000481
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发表时间:
2013
影响因子:
3.3
通讯作者:
Xiao-Ling Sun
Xiao-Ling Sun
中科院分区:
工程技术3区
文献类型:
--
作者:
Huan-Wen Liu;Huan-Wen Liu;Dan-Juan Fu;Dan-Juan Fu;Xiao-Ling Sun;Xiao-Ling Sun

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AbstractIn this paper, an analytic solution to the modified mild-slope equation (MMSE) for wave reflection by a submerged rectangular breakwater with two scour trenches is explored. Because of the use of the MMSE with effects of the bottom curvature and the slope-squared terms, the solution is not only valid in the whole wave range from shallow water to deep water, but also valid for topographies not restricted to vary moderately. The present analytic solution includes an existing analytic long-wave solution as its special case, and the computing results show good agreement between two solutions, except for a slight difference when waves approach intermediate-wave range. It is found that this slight difference used to lead to an incorrect conclusion that the reflection coefficient for wave reflection by a rectangular breakwater or trench is a periodic function to the ratio of the breakwater length to the wavelength. This analysis shows that the reflection coefficient is a periodic oscillation function wit...
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