| 近岸大区域水波数学模型及其数值求解 |
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| 引用本文： | 郑永红,沈永明,邱大洪,夏进.近岸大区域水波数学模型及其数值求解[J].海洋学报,2000,22(5):106-114. |
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| 作者姓名： | 郑永红 沈永明 邱大洪 夏进 |
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| 作者单位： | 1.大连理工大学海岸与近海工程国家重点实验室, 大连 116023 |
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| 基金项目： | 国家自然科学基金重点项目(编号：59839330，49910161985)；中国博士后科学基金资助顷目(编号：中博基[1999]10号)． |
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| 摘 要： | 从水波发展方程出发,导出了大区域缓坡水波数学模型,并采用交错网格系统下的有限差分法对该数学模型进行了数值求解,计算结果表明该数学模型在粗网格下也能得到与实验结果比较一致的结果,从而表明该模型可用于较大区域的水波问题.该模型具有编程简单、求解比较快速、经济的优点.
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| 关 键 词： | 水波 数学模型 数值求解 |
| 收稿时间： | 2000/1/21 0:00:00 |
| 修稿时间： | 2000-01-21 |
Numerical solution of a mathematical model for water waves in large coastal areas |
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| Zheng Yonghong,Shen Yongming,Qiu Dahong and Xia Jin.Numerical solution of a mathematical model for water waves in large coastal areas[J].Acta Oceanologica Sinica (in Chinese),2000,22(5):106-114. |
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| Authors: | Zheng Yonghong Shen Yongming Qiu Dahong and Xia Jin |
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| Institution: | 1.State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 1160232.Dalian Design & Research Institute of Environmental Science, Dalian 116023 |
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| Abstract: | Based on the evolution equation for water waves, a mathematical model for wave propagation in large mild-slope areas is derived. The model is solved by the finite difference method with the staggered grid system. The computational results are in good agreement with experimental data and show that better results with relatively coarser grids can also be obtained by the model. The model can be used to simulate water wave propagation in large coastal areas and can be efficiently solved with little programming effort. |
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| Keywords: | Water wave mathematical model numerical solution |
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