摘要: |
应用椭圆余弦波的绕射理论,推导了V形防波堤的浅水波浪绕射解析解,从而对现有的Airy微幅波理论进行了有效拓展。据此理论对V形防波堤的浅水波绕射作用进行了解析计算,并与几何形状相近的圆弧型防波堤结果加以了对比。结果表明:椭圆余弦波理论计算的V形防波堤最大波浪力和最大绕射波面明显大于微幅波理论的对应值。本方法适用于张角180°的有限长直立薄壁防波堤的浅水波绕射作用计算,从而将无限长直立薄壁堤的反射波理论加以有效拓展。张角同为120°的V形堤与圆弧堤的堤后防浪效果相近,而180°圆弧堤的堤后防浪效果优于张角90°的V形堤。 |
关键词: 椭圆余弦波 V形防波堤 圆弧防波堤 绕射 波浪力 |
DOI:10.11759/hykx20190521001 |
分类号:O353 |
基金项目:广东省级科技计划项目(2016A050502022) |
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Comparison of shallow water wave diffracted effects caused by a V-shaped breakwater and arc-shaped breakwater |
CAI Han-tao, HUANG Hua, SU Wei
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Department of Applied Mechanics and Engineering, College of Aeronautics and Astronautics, Sun Yat-sen University, Guangzhou 510275, China
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Abstract: |
The theoretical solutions to shallow water wave diffraction by a V-shaped breakwater are derived with the use of cnoidal wave theory, the current Airy small-amplitude wave theory. Based on that, theoretically measure the impact on V-shaped breakwater that diffracted shallow water. The results show that, under the same shallow water conditions, the maximum dimensionless wave forces and wave surfaces on the V-shaped breakwater are larger than those predicted by the small-amplitude wave theory. The method given in the paper is suitable for calculating diffracted wave effects with the breakwater angle 180° on the finite length vertical thin-walled breakwater. The diffracted effects of a 120° V-shaped breakwater and a 120° arc-shaped breakwater are similar and a 180° arc-shaped breakwater diffracted effect is greater than that of a 90° V-shaped breakwater. |
Key words: cnoidal wave V-shaped breakwater arc-shaped breakwater diffraction wave force |