| 用含高色散性Boussinesq方程模拟潜堤上的波浪变形 |
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| 引用本文： | 刘忠波,张日向,陈兵.用含高色散性Boussinesq方程模拟潜堤上的波浪变形[J].海洋技术,2005,24(2):66-68,120. |
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| 作者姓名： | 刘忠波 张日向 陈兵 |
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| 作者单位： | 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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| 基金项目： | 国家自然科学基金项目(50409015) |
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| 摘 要： | 基于一种高阶Boussiensq方程(刘忠波等，2004)，采用预报-校正格式的有限差分法对该方程进行了数值离散，建立了数值模型。针对动量方程中三阶项的差分形式，采用了迎风格式和五点格式。通过数值模拟常水深下不同周期波浪传播变形，指出迎风格式在计算小周期波浪时存在的问题。为进一步验证数值模型的适用性，模拟了淹没潜堤上的传播变形。从数值结果与实验值的对比结果上看，该数值模型能较好地模拟波浪变形，可用于模拟实际中的波浪场问题。
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| 关 键 词： | Boussinesq方程 波浪变形 潜堤 色散性 数值模型 迎风格式 有限差分法 数值离散 动量方程 波浪传播 数值模拟 数值结果 适用性 实验值 场问题 周期 |
| 文章编号： | 1003-2029(2005)02-0066-04 |
Simulations of Waves propagation Over a Submerged Bar Using Boussinesq Equations with high Dispersion |
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| LIU Zhong-bo,ZHANG Ri-xiang,CHEN Bing.Simulations of Waves propagation Over a Submerged Bar Using Boussinesq Equations with high Dispersion[J].Ocean Technology,2005,24(2):66-68,120. |
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| Authors: | LIU Zhong-bo ZHANG Ri-xiang CHEN Bing |
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| Abstract: | Based on the Boussinesq equations derived by Liu and Sun (2004), a numerical model is established by using finite difference method. Special focus is paid on the up-wind scheme and five-point scheme on the third derivation terms. To point the problem when using the up-wind scheme, a numerical simulation of short wave propagation over a constant depth is done. To investigate the applicability of the numerical model, further numerical simulations of wave propagating over a submerged bar are done. The well agreement between the numerical results and the experimental results proves the numerical model, so the numerical model can be used for simulating the wave field in the coastal engineering. |
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| Keywords: | Boussinesq equations numerical model up-wind scheme five-point scheme wave propagation submerged bar |
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