正交曲线坐标下Boussinesq方程的研究  

Boussinesq equations in orthogonal curvilinear coordinate system

作　　者：张素香[1] 李瑞杰[1] 罗锋[1] 张扬[1] 

机构地区：[1]河海大学环境海洋实验室,江苏南京210098

出　　处：《海洋环境科学》2007年第4期337-341,共5页Marine Environmental Science

基　　金：国家自然科学基金重点资助项目(50339010)

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。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.

关 键 词：波浪变形 BOUSSINESQ方程 非线性 正交曲线坐标 

分 类 号：P731.22[天文地球—海洋科学]