港域波浪数学模型的改进与验证

通过物理模型对改进的港内波浪传播变形数学模型进行验证。该数学模型以推广的时变缓坡方程为控制方程,采用含松弛因子的ADI法求解,并对波浪反射和透射边界模拟方法进行改进。先通过物理模型试验确定斜向浪入射条件下抛石防波堤前的波浪反射系数,作为数学模型中部分反射边界模拟的依据。然后进行了一个典型港口内波浪折射、绕射和反射的模型试验,测量港内波浪分布。对比模型试验和数学模型计算的结果表明,数学模型可较好地模拟港内复杂地形和边界条件下规则波和不规则波的传播变形。

Improvement and verification of a numerical harbour wave model

An improved numerical harbour wave model is verified by use of physical models.The extended time-dependent mild slope equation is employed as the governing equation,which is solved by use!of ADI method containing the relaxation factor.Both reflection and outgoing boundary condition formulas are improved by eliminating incident wave angle at the boundaries.The reflection coefficient of waves in front of rubble-mound breakwaters under the oblique incident waves is determined through physical model tests,which is applied in partial reflection boundary simulation.Then model tests on refraction,diffraction and reflection of waves in the harbour are performed to measure wave height distribution in a harbour.Comparative results between physical and numerical model tests show that the present numerical model can satisfactorily simulate the propagation of regular and irregular waves in a harbour with complex topography and boundary conditions.