对于波流相互作用的Boussinesq方程,为了考虑水流作用所引起的平均水面变化,通过引入新的计算速度,使方程色散关系中的水深为考虑水流影响后的实际水深,并使方程色散精度达到了Padé[4,4]。通过计算潜堤强水流和裂流两种背景水流流场情况下的波浪运动特征,验证了该模型和数值方法的正确性。
A new formulation of Boussinesq-type equations for wave-current interaction is presented with focus on the inclusion of the mean depth change due to the presence of currents.A computational velocity is introduced to make the water depth in the dispersion relation the mean water depth including the effect of mean current and of Padé[4,4]accuracy.The model is applied to simulate the wave field affected by two mean current systems,strong current on an offshore bar and rip-current on sloping beach,and it is found that the present model is capable of giving reasonable numerical results of wave-current interaction.