| 考虑边界波浪方向的缓坡方程自适应求解模型 |
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| 引用本文： | 柳淑学,孙冰.考虑边界波浪方向的缓坡方程自适应求解模型[J].海洋工程,2007,25(1):35-42,56. |
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| 作者姓名： | 柳淑学 孙冰 |
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| 作者单位： | 大连理工大学,海岸和近海工程国家重点实验室,辽宁,大连,116024 |
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| 基金项目： | 新世纪优秀人才支持计划资助项目(NCET-05-0282)，长江学者和创新团队发展计划资助项目(IRT0420) |
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| 摘 要： | 缓坡方程是描述近岸波浪运动较好的数学模型之一。在发展的自适应有限元求解缓坡方程的基础上,采用迭代求解的方法,确定波浪相对于边界的入射方向,从而对边界条件进行改进,建立了求解缓坡方程的数值计算模型。典型算例表明,考虑波浪相对于边界的入射角度后,模型可以更好地模拟吸收波浪边界,同时对多向波对双突堤的绕射进行了模拟研究,与试验结果比较表明,所建立的数值计算模型能够适用于多向不规则波传播过程的模拟研究。
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| 关 键 词： | 波向角 自适应有限元法 缓坡方程 边界条件 |
| 文章编号： | 1005-9865（2007）01-0035-08 |
| 修稿时间： | 2006-03-20 |
Self-adaptive FEM numerical modeling of mild slope equation with total absorption |
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| LIU Shu-xue,SUN Bing.Self-adaptive FEM numerical modeling of mild slope equation with total absorption[J].Ocean Engineering,2007,25(1):35-42,56. |
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| Authors: | LIU Shu-xue SUN Bing |
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| Institution: | State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | Based on the linear wave theory,the mild-slope equation(MSE) is a preferable mathematical model to simulate nearshore wave propagation.On the basis of a developed self-adaptive finite element model,an iterative method is used to determine the wave direction angle to the boundary and to improve the treatment of boundary conditions.Thus a numerical model to solve MSE is developed in this paper.The numerical results of the waves into rectangular domains and multidirectional waves through a breakwater gap show that the developed numerical model is effective to the total wave absorption at the absorbing boundaries and can be used to simulate the multidirectional wave propagation. |
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| Keywords: | wave direction self-adaptive FEM method mild-slope equation boundary condition |
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