| 正交曲线坐标下Boussinesq方程的初步研究 |
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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方程的初步研究[J].科技导报(北京),2006,24(2):38-42. |
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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： | 河海大学海洋环境实验室 南京210098 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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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该模型进行了验证,计算结果与实测数据吻合很好,这说明该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： | 1000-7857（2006）02-0038-05 |
| 收稿时间： | 2005-11-06 |
| 修稿时间： | 2005-11-06 |
Research on Boussinesq Equations in Orthogonal Curvilinear Coordinate System |
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| ZHANG Su-xiang,LI Rui-jie,LUO Feng,ZHANG Yang.Research on Boussinesq Equations in Orthogonal Curvilinear Coordinate System[J].Science & Technology Review,2006,24(2):38-42. |
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| Authors: | ZHANG Su-xiang LI Rui-jie LUO Feng ZHANG Yang |
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| Institution: | Laboratory of Ocean Environment, Hehai University, Nanjing 210098, China |
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| Abstract: | In this paper, based on the mass conservation equation 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 equations and boundary condition by orthogonal curvilinear coordinate, a 2D wave model in orthogonal curvilinear coordinate systems is established. The numerical model is tested by computing wave field for several experiment terrain, and agreement between model results and available experimental data is found to be quite reasonable, which demonstrates the model's ability to simulate wave shoaling, refraction, diffraction and reflection et etc. |
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| Keywords: | wave transformation Boussinesq equations nonlinearity orthogonal curvilinear coordinates |
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