中文摘要：

为更精确地模拟强非线性完全频散性波浪的传播，采用长波上非线性重力表面波传播高阶数学模型，综合参考此模式已有的研究成果，建立了一个高达五阶的完全频散性非线性数值模型。应用该五阶模式对斜坡地形、潜堤地形及正弦沙链地形进行模拟计算，并与已有的实验资料进行对比，结果显示五阶模式较低阶模式模拟结果的精度上有了明显提高，模拟波形与实验结果吻合度良好，证明高阶模式更适用于高频散高非线性波浪传播的数值模拟。

英文摘要：

For the purpose of a more accurate description of the propagation of waves with a strongly non-linear and fully dispersive nature, a high order and fully dispersive nonlinear wave propagation model is used in enhancing the precision, so that a 5th-order, fully dispersive and strongly non-linear numerical model is realized. By applying the 5th-order model to the calculation for a uniform sloping bottom, a submerged breakwater and a sinusoidally varying topography, it has been observed that the accuracy has been significantly improved with a better correspondence of the form of the wave to experimental data, which illustrates that the 5th-order model is more suitable for the simulation of the propagation of fully dispersive and strongly non-linear waves.