潜堤上破碎波浪传播变形的数值模型及其验证  

Numerical model of breaking waves propagating over a submerged breakwater and its laboratory validation

作　　者：刘忠波[1,2] 于德海[1] 孙昭晨[2] 

机构地区：[1]大连海事大学交通运输装备与海洋工程学院,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

出　　处：《海洋通报》2011年第6期633-636,667,共5页Marine Science Bulletin

基　　金：中国自然科学基金(40902075)

摘　　要：为模拟潜堤上破碎波浪传播时产生能量的耗散这一特性,在改进的具有四阶色散的Boussinesq水波方程中引入二阶紊动粘性项,建立了考虑波浪破碎的水波数学模型。在非交错网格下建立了有限差分数值模型,并利用三阶Adams-Bashforth格式预报、四阶Adams-Mouton格式校正对数值模型进行求解。通过数值试验,模拟了不同坡度的潜堤上破碎波浪传播变形,并将数值计算波面时间历程与实验结果进行了比较,二者基本吻合,这说明在四阶Boussinesq水波模型中引入二阶粘性项来考虑波浪破碎引起能量耗散的做法是有效的。To model the breaking waves propagating over a submerged breakwater and consider the energy dissipation by breaking property, the mathematical model for breaking waves was given by adding the second order eddy viscosity terms to the fourth order dispersive Boussinesq equations. Numerical model was established with finite differential method in non-staggered grid, and the model was solved with the third-order Adams-Bashforth predictor and the fourth-order Adams-Moulton Corrector in time marching, Numerical simulations were carded upon breaking wave evolution over a submerged breakwater with different back slopes. The computed surface elevations varying with time history in different locations were compared to experimental data, and the agreement was reasonably satisfactory, and this demonstrated that the present method to consider energy dissipation in Boussinesq wave model was effective.

关 键 词：BOUSSINESQ方程 破碎波 紊动粘性 

分 类 号：P731.22[天文地球—海洋科学]