高阶Boussinesq水波方程数值模型及其与实验结果的对比  

Numerical model of higher-order Boussinesq equations and comparisons with laboratory measurements

作　　者：邹志利[1] 张晓莉[1] 

机构地区：[1]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024

出　　处：《水动力学研究与进展（A辑）》2002年第5期592-603,共12页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金 (项目编号 :5 99790 0 2;5 9839330 );教育部高校骨干教师基金资助项目

摘　　要：本文建立了基于预报 校正差分格式的高阶Boussinesq方程[1] 数值模型 ,进行了有沙坝地形上非线性波浪传播的物理模型实验 ,检验了数值模型和高阶Boussinesq方程的精度。研究了非线性波浪在有沙坝地形上传播的特性 ,分析沙坝坡度和水深的影响。The nonlinear water wave propagating through a submerged shelf was studied experimentally and numerically. The applicability of two different nonlinear wave-propagation models was investigated. One was based on the higher-order Boussinesq equations derived by Zou(1999) and the other on the classical Boussinesq equations. Physical experiments were conducted, three different front slopes (1∶10,1∶5 and 1∶2) of the shelf were set up in the experiments and their effects on the wave propagation were examined. Comparisons of the numerical results with test data were made, which indicate that the higher-order Boussinesq equation agrees much better with the measurements than the classical Boussinesq equations. The numerical results show that the good results can also be obtained for the case of steep slope although the mild slope assumption was employed in the derivation of the higher order terms in the higher order Boussinesq equations.

关 键 词：波浪 BOUSSINESQ方程 非线性水波 色散性 

分 类 号：O353.2[理学—流体力学]