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Numerical simulation of regular wave transmission coefficient over submerged breakwater
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摘要: 潜堤透浪系数是衡量潜堤削弱波浪能力的主要指标。基于Boussinesq型方程的MIKE21-BW模型建立波浪数值水槽，进行规则波作用下潜堤透浪系数的数值模拟。根据Dingemans物理模型试验结果对BW模型进行参数率定和验证，验证结果良好。在此基础上，进一步分析了影响潜堤透浪系数的无因次影响参数，包含相对淹没深度、波陡、相对堤顶宽度、斜坡堤坡度等，研究不同因素组合情况下潜堤透浪系数的变化规律。建立了规则波作用下潜堤透浪系数的计算式，应用MATLAB数学软件对式中的系数进行拟合，拟合式计算值与BW模型计算值相关系数为0.858，相关性较好。另外，将拟合式与杨正己公式进行比较，并分析数据的差异与原因。研究表明：MIKE21-BW模型可以进行规则波作用下潜堤透浪系数的数值模拟。
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关键词:
- 潜堤 /
- 透浪系数 /
- MIKE21-BW模型 /
- 规则波 /
- 数值模拟
Abstract: Wave transmission coefficient over a submerged breakwater is the main index to measure the wave weakened capacity of the submerged breakwater. A numerical wave flume is established by the MIKE21-BW model based on Boussinesq-type equations, and a numerical simulation of the regular wave transmission coefficient over the submerged breakwater is made in this article. According to the results of Dingemans physical model tests, the parameter calibration and verification of the BW model are carried out, and the results are satisfactory. On the basis of these results, further analyses of the dimensionless parameters influncing the submerged breakwater wave transmission coefficient, including relative submerged water depth, wave steepness, relative crest width of the submerged breakwater, submerged breakwater slope, are made. And the change law of different combined factors of the submerged breakwater wave transmission coefficient is studied. The form of a calculation formula for the regular wave transmission coefficient over the submerged breakwater is put forward, and MATLAB mathematical software is used to fit the coefficient of the formula. The correlation coefficient between the calculated value of the fitting formula and the calculated value of the BW model is 0.858, a good correlation between the two values. In addition, the difference and relevant reasons of the data between the fitting formula and Yang Zhengji's formula are compared and analyzed. The analysis results show that the MIKE21-BW model can be applied to the numerical simulation of the submerged breakwater wave transmission coefficient under the action of the regular wave. The results given by this article can provide a reference for the numerical simulation of the submerged breakwater works. -
图 2 各测点处波面过程试验值与模拟值的比较
Figure 2. Comparison between simulated and experimental values of wave surface at each measuring point
图 8 透浪系数模拟值与拟合式计算值比较
Figure 8. Comparison between simulated and fitting formula calculated values of wave transmission coefficient
图 9 透浪系数模拟值与杨正己公式计算值比较
Figure 9. Comparison of simulated and Yang Zhengji's formula calculated values of wave transmission coefficient
图 10 H/L，a/H，B/H的变化对透浪系数的影响
Figure 10. Influences of changes in H/L, a/H and B/H on wave transmission coefficient
表 1 规则波作用下模型计算波浪要素
Table 1. Wave elements under action of regular waves
水深d/
cm周期T/
s波长L/
m30 1.06 1.5 1.32 2.0 1.58 2.5 1.86 3.0 35 1.03 1.5 1.27 2.0 1.51 2.5 1.75 3.0 40 1.02 1.5 1.23 2.0 1.45 2.5 1.68 3.0 45 1.01 1.5 1.21 2.0 1.42 2.5 1.63 3.0 
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