| 适用于沙坝上Bragg反射的二阶Boussinesq方程数学模型及其数值验证 |
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| 引用本文： | 刘忠波,邹志利,孙昭晨.适用于沙坝上Bragg反射的二阶Boussinesq方程数学模型及其数值验证[J].海洋通报,2009,28(1). |
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| 作者姓名： | 刘忠波 邹志利 孙昭晨 |
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| 作者单位： | 1. 大连海事大学交通与物流工程学院,辽宁,大连,116026;大连理工大学海岸及近海工程国家重点实验室,辽宁,大连,116024
2. 大连理工大学海岸及近海工程国家重点实验室,辽宁,大连,116024 |
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| 摘 要： | 在二阶 Boussinesq 方程基础上,通过引入含水深导数项对该方程进行了理论上的改进,使得该方程在应用于无限沙坝 Bragg反射问题时与理论解析解在更大范围内符合.基于该改进的高阶 Boussinesq 方程,在非交错网格下建立了混合 4 阶的Adams-Bashforth- Moulton 格式的数学模型.将数值模型应用到有限个连续沙坝上波浪传播变形问题的数值模拟中,通过两点法给出数值波浪反射系数,将这些反射系数与已有的实验数据进行对比,对比表明改进后的模型计算出的反射系数与实验结果吻合更好,这验证了本文理论改进的有效性.
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| 关 键 词： | 沙坝 Bragg反射 Boussinesq方程 |
Numerical Model of Second Order Boussinesq Equations for Sand-bar Bragg Reflection and its Validation |
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| LIU Zhongbo,ZOU Zhili,SUN Zhaochen.Numerical Model of Second Order Boussinesq Equations for Sand-bar Bragg Reflection and its Validation[J].Marine Science Bulletin,2009,28(1). |
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| Authors: | LIU Zhongbo ZOU Zhili SUN Zhaochen |
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| Institution: | 1.The College of Transportation and Logistics Engineering;Dalian Maritime University;Dalian 116026;Liaoning;China 2.State Key Laboratory of Coastal and Offshore Engineering;Dalian University of Technology;Dalian 116023;China |
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| Abstract: | Based on the second order Boussinesq equations,a depth derivative term is introduced to improve the ability to apply for the numerical model of wave Bragg reflection over submerged sandbar in theory.Based on the new equations,a numerical model with a composite fourth order Adams-Bashforth-Moulton scheme is established in non-staggered grids.The model is applied to the wave propagating over the submerged sandbar,and the wave reflection coefficient is given by two-point method.Comparisons are done between num... |
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| Keywords: | Sand bar Bragg reflection Second order Boussinesq equations |
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