高阶非线性完全频散性波浪数值模型及应用  

The numerical application of a high-order nonlinear and fully dispersive wave model

作　　者：冯卫兵[1,2] 邵东[1] 王明明[3] 张俞[1] 

机构地区：[1]河海大学港口海岸和近海工程学院,江苏南京210098 [2]海岸带资源与环境研究所,江苏南京210098 [3]南京水利科学研究院,江苏南京210029

出　　处：《海洋工程》2015年第1期49-57,89,共10页The Ocean Engineering

基　　金：国家自然科学基金资助项目（51279055）

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。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.

关 键 词：完全频散性 波浪传播 斜坡 潜堤 五阶模式 

分 类 号：TV139.2[水利工程—水力学及河流动力学]