潜堤上波流传播的完全非线性数值模拟  

FULLY NONLINEAR NUMERICAL SIMULATION FOR WAVE-CURRENT PROPAGATION OVER A SUBMERGED BAR

作　　者：陈丽芬[1] 宁德志[1,2] 滕斌[1] 宋伟华[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,大连116023 [2]国家海洋局第二海洋研究所,卫星海洋环境动力学国家重点实验室,杭州310012

出　　处：《力学学报》2011年第5期834-843,共10页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(50709005;50921001);卫星海洋环境动力学国家重点实验室开放基金(SOED1002);中央高校基本科研业务费专项资金(DUT10JN03)资助项目~~

摘　　要：利用时域高阶边界元方法建立模拟波流混合作用的完全非线性数值水槽模型,其中自由水面满足完全非线性自由水面条件.采用混合欧拉-拉格朗日方法追踪流体瞬时水面,运用4阶Runge-Kutta方法更新下一时间步的波面和速度势.为了减少计算域,提高计算速度,采用同时消除底面和侧面的镜像格林函数;在每一时间步内,对网格进行重新划分以避免由于网格运动变形而引起的数值不稳定问题.对水流中淹没潜堤上的波浪变形在水槽中开展了物理模型试验,并把试验结果和数值结果进行了对比,吻合得很好.进一步研究了水流及潜堤的存在对高阶谐波产生的影响.A fully nonlinear numerical flume model is developed based on the time-domain higher-order boundary element method. The fully nonlinear free surface boundaries are satisfied on the instantaneous free surface in this model. The mixed Eulerian-Lagrangian scheme is adopted to track the transient free surface with the fourth-order Runge-Kutta method for refreshing wave profile and velocity potential at the next time step. An image Green function is utilized to increase the speed of computation. The meshes are regidded at each time step to avoid numerical instabilities caused by mesh motions. The experimental study on evolution of waves over a submerged bar in uniform current is carried out in a wave flume. And the numerical solutions are compared well with experimental data. The effects of currents and the submerged bar on the higher-order harmonic waves are further studied.

关 键 词：数值波浪水槽 时域高阶边界元 完全非线性 均匀水流 潜堤 

分 类 号：O353.2[理学—流体力学]