【摘要】 在二阶Boussinesq方程基础上,通过引入含水深导数项对该方程进行了理论上的改进,使得该方程在应用于无限沙坝Bragg反射问题时与理论解析解在更大范围内符合。基于该改进的高阶Boussinesq方程,在非交错网格下建立了混合4阶的Adams-Bashforth-Moulton格式的数学模型。将数值模型应用到有限个连续沙坝上波浪传播变形问题的数值模拟中,通过两点法给出数值波浪反射系数,将这些反射系数与已有的实验数据进行对比,对比表明改进后的模型计算出的反射系数与实验结果吻合更好,这验证了本文理论改进的有效性。更多还原

【Abstract】 Based on the second order Boussinesq equations,a depth derivative term is introduced to improve the ability to apply for the numerical model of wave Bragg reflection over submerged sandbar in theory.Based on the new equations,a numerical model with a composite fourth order Adams-Bashforth-Moulton scheme is established in non-staggered grids.The model is applied to the wave propagating over the submerged sandbar,and the wave reflection coefficient is given by two-point method.Comparisons are done between numerical results and experimental results,and the agreement is satisfactory,which validates the feasibility of the present improvement methods.更多还原