| 正交曲线坐标下Boussinesq方程的研究 |
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| 引用本文： | 张素香,李瑞杰,罗锋,张扬. 正交曲线坐标下Boussinesq方程的研究[J]. 海洋环境科学, 2007, 26(4): 337-341 |
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| 作者姓名： | 张素香 李瑞杰 罗锋 张扬 |
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| 作者单位： | 河海大学,环境海洋实验室,江苏,南京,210098;河海大学,环境海洋实验室,江苏,南京,210098;河海大学,环境海洋实验室,江苏,南京,210098;河海大学,环境海洋实验室,江苏,南京,210098 |
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| 摘 要： | 从质量守恒方程和Euler方程出发,推导出包含底摩擦耗能、波浪破碎效应和亚格湍流效应的改进型Boussinesq方程,并对该方程以及边界条件进行了正交曲线转换,建立了正交曲线坐标系下的二维波浪模型并用实验地形对本文模型进行了验证,计算结果与实测数据吻合很好,说明模型可以较好地模拟波浪传播过程中的浅水变形、折射、绕射和反射等现象.
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| 关 键 词： | 波浪变形 Boussinesq方程 非线性 正交曲线坐标 |
| 文章编号： | 1007-6336（2007）04-0337-05 |
| 收稿时间： | 2005-11-09 |
| 修稿时间： | 2006-02-28 |
Boussinesq equations in orthogonal curvilinear coordinate system |
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| ZHANG Su-xiang,LI Rui-jie,LUO Feng,ZHANG Yang. Boussinesq equations in orthogonal curvilinear coordinate system[J]. Marine Environmental Science, 2007, 26(4): 337-341 |
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| Authors: | ZHANG Su-xiang LI Rui-jie LUO Feng ZHANG Yang |
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| Affiliation: | Laboratory of Ocean Environment, Hehai University, Nanjing 210098, china |
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| Abstract: | In this paper,based on the mass conservation and Euler's equation,the modified form of Boussinesq equations is derived,which includes the effects of bottom friction,wave breaking and subgrid turbulent mixing.Through transferring the governing equation and boundary condition by the orthogonal curvilinear coordinate,a 2D wave model in the orthogonal curvilinear coordinate systems is established.The numerical model is tested by the computing wave field for several experimental terrains,and agreement between the model results and available experimental data is found to be quite reasonable.It demonstrates that the model is able to simulate wave shoaling,refraction,diffraction and reflection et al. |
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| Keywords: | wave transformation Boussinesq equations nonlinearity orthogonal curvilinear coordinates. |
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