基于Boussinesq方程的陡峭礁坪上波浪传播变形数值模拟

为了探究应用基于二阶完全非线性Boussinesq方程开发的Funwave-TVD波浪模型模拟波浪在陡峭礁坪上传播变形的可行性,在采用试验及已有文献成果进行可行性验证的基础上,利用该模型模拟了波浪在陡峭礁坪上的传播变形过程,分析了不同波浪要素及不同水深情况下波浪在陡峭礁坪上的传播规律。结果表明:当波高与水深的比值超过一定值时,波浪发生破碎,波高迅速减小;对于深水情况下的陡峭礁坪地形,当波浪离开礁坪坡脚的水平距离为4倍入射波长及更远时,礁坪上的平均波高可降低为稳定值。

Numerical modeling of wave propagation and deformation on steep reef based on Boussinesq equation

In order to explore the feasibility of simulating wave propagation and deformation on a steep reef with the Funwave-TVD wave model based on the second-order fully nonlinear Boussinesq equation, using feasibility validation with the data form experiments and published papers, the wave propagation and deformation process on the steel reef was simulated with the model, and the wave propagation characteristics on the reef were analyzed with different wave elements and water depths. The numerical results show that when the ratio of the wave height to the water depth exceeds a certain value, the wave breaks and the wave height decreases quickly. In deep water conditions, the average wave height on the steep reef decreases to a stable value when the wave moves away from the slope toe of the reef to a distance four times the incident wavelength or further.