波浪在潜堤上破碎的数值分析  

Numerical analysis of waves breaking on a submerged breakwater

作　　者：刘忠波[1,2,3] 房克照[2,4] 孙昭晨[2] 

机构地区：[1]大连海事大学交通管理学院,辽宁大连116026 [2]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 [3]长沙理工大学水沙科学与水灾害防治湖南省重点实验室,湖南长沙410114 [4]国家海洋局国家海洋环境监测中心,辽宁大连116023

出　　处：《广西大学学报（自然科学版）》2012年第6期1089-1097,共9页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(51009018);大连理工大学海岸和近海工程国家重点实验室开放基金资助项目(LP1105);水沙科学与水灾害防治湖南省重点实验室开放基金资助项目(2012SS02);国家海洋局海域管理技术重点实验室开放基金资助项目(210206)

摘　　要：为模拟潜堤上的波浪破碎,在高阶Boussinesq方程中引入二阶紊动粘性项,建立了考虑波浪破碎的Boussinesq数值模型。在非交错网格下利用预报—校正的有限差分法求解控制方程,其中预报采用了三阶Adams-Bashforth格式和校正采用四阶Adams-Moulton格式。利用数值模型,通过数值试验,再现了波浪在不同坡度的潜堤上破碎演变过程。首先通过一组地形,将计算波面的时间历程与实验结果进行了对比,讨论和分析了二阶紊动粘性项中启动破碎的参数对数值计算结果的影响,给出模拟该问题时最优参数取值,进而通过其他两组地形的数值计算结果验证参数取值的合理性。In order to model the waves breaking on a submerged breakwater and consider energy dis- sipation on the basis of breaking property, a numerical model for breaking waves was given by adding second order eddy viscosity terms to the fourth order dispersive Boussinesq equations. The numerical model was established with the finite differential method in non-staggered grids, and the model was solved with the third-order Adams-Bashforth predictor and the fourth-order Adams-Moul- ton corrector. Numerical experiments were firstly carried out to obtain the optimum breaking parame- ter involved in the eddy viscosity term. Then, based on the optimum value, numerical simulations of waves breaking on a submerged breakwater with different back slope were performed. The computed surface elevations varying with time in different locations were compared to experimental data, and the agreement was reasonably satisfactory, which demonstrates the present method considering ener-gy dissipation in Boussinesq wave model is effective.

关 键 词：Boussinesq模型 波浪破碎 紊动粘性 

分 类 号：P731[天文地球—海洋科学]