基于扩展型Boussinesq水波方程,建立了波浪在刚性植被覆盖的近岸海域传播的数值模型。通过在动量方程源项中引入拖曳阻力项考虑植被对波浪的衰减作用。控制方程采用有限差分和有限体积混合格式求解,模型稳定性强.具备间断捕捉能力,能有效模拟近岸区域波浪的传播变形、破碎和处理海岸动边界问题。利用所建立模型对典型物理模型实验进行模拟,计算结果与实验结果吻合良好,表明模型可用于波浪在刚性植被覆盖海域的数值计算。
A numerical model for coastal wave propagation through the rigid vegetation area is developed based on the extended Boussinesq equations. Drag resistance force is introduced into the source term of momentum equations to consider rigid vegetation effect on wave attenuation. A hybrid finite-difference and finite-volume method is used to solve the governing equations. The resulting model has the advantages of strong-stability-preserving and shock-capturing and can effectively simulate wave transformation, breaking and moving shoreline in the coastal area. Typical numerical tests are conducted for model validation and the computed results are in good agreement with the experimental data, demonstrating the proposed model is applicable of predicting wave transformation in the coastal region covered with rigid vegetation.