【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。更多还原

【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.更多还原