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 引用本文: 陈丽芬 宁德志 滕斌 宋伟华. 潜堤上波流传播的完全非线性数值模拟[J]. 力学学报, 2011, 43(5): 834-843.
Lifen Chen Dezhi Ning Bin Teng Weihua Song. Fully nonlinear numerical simulation for wave-current propagation over a submerged bar[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(5): 834-843.
 Citation: Lifen Chen Dezhi Ning Bin Teng Weihua Song. Fully nonlinear numerical simulation for wave-current propagation over a submerged bar[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(5): 834-843.

## Fully nonlinear numerical simulation for wave-current propagation over a submerged bar

• 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.

Abstract: A fully nonlinear numerical flume model is developedbased on the time-domain higher-order boundary element method. The fullynonlinear free surface boundaries are satisfied on the instantaneous freesurface in this model. The mixed Eulerian-Lagrangian scheme is adopted totrack the transient free surface with the fourth-order Runge-Kutta methodfor refreshing wave profile and velocity potential at the next time step. Animage Green function is utilized to increase the speed of computation. Themeshes are regidded at each time step to avoid numerical instabilitiescaused by mesh motions. The experimental study on evolution of waves over asubmerged bar in uniform current is carried out in a wave flume. And thenumerical solutions are compared well with experimental data. The effects ofcurrents and the submerged bar on the higher-order harmonic waves are furtherstudied.

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