水槽中浅水非线性长波传播的Boussinesq数值模拟  

Application of Higher-order Boussinesq model for Nonlinear Shallow Long Waves Propagation in a Flume

作　　者：刘忠波[1] 邹志利[2] 

机构地区：[1]大连海事大学交通工程与物流学院,辽宁大连116026 [2]大连理工大学海岸及近海工程国家重点实验室,辽宁大连116023

出　　处：《海洋通报》2008年第2期10-15,共6页Marine Science Bulletin

基　　金：国家自然科学基金(50479053,10672034)

摘　　要：浅水非线性长波传播变形中会产生波-波相互作用,为较好地模拟这种现象,在非交错网格下建立了近似在O(μ2)阶完全非线性的高阶Boussinesq数值模型。数值模型中采用了混合4阶Adams-Bashforth–Moulton格式和内部造波技术。数值计算了非线性长波在波浪水槽中的传播变形,计算结果与相关实验数据吻合较好,验证了该数值模型实用性。The wave-wave interaction will occur during the process of nonlinear shallow long wave propagation. In order to better model this phenomenon, a numerical model is established by using a higher-order Boussinesq model with full nonlinearity accurate to 0（/~2） in unstaggered grids. In the numerical model, a composite fourth order Adams-Bashforth-Moulton scheme and internal wave generation method are adopted. Numerical simulations are made upon nonlinear long wave propagation in a flat flume with constant water depth, and the numerical results agree well with the relevant experimental data, which validates the practicability of the present model.

关 键 词：非线性长波 波-波相互作用 Boussinesq数值模型 

分 类 号：P731.22[天文地球—海洋科学] TV139.16[水利工程—水力学及河流动力学]