结合椭圆型缓坡方程模拟近岸波流场

The numerical simulation of nearshore current combined with the elliptic mild-slope equation

波浪向近岸传播的过程中,由波浪破碎效应所产生的近岸波流场是近岸海域关键的水动力学因素之一.结合近岸波浪场的椭圆型缓坡方程和近岸波流场数学模型对近岸波浪场及由斜向入射波浪破碎后所形成的近岸波流场进行了数值模拟.计算中考虑到波浪向近岸传播中由于波浪的折射、绕射、反射等效应使局部复杂区域波向不易确定,采用结合椭圆型缓坡方程所给出的波浪辐射应力公式来计算波浪产生的辐射应力,在此基础上耦合椭圆型缓坡方程和近岸波流场数学模型对近岸波流场进行数值模拟,从而使模型综合考虑了波浪的折射、绕射、反射等效应且避免了对波向角的直接求解,可以应用于相对较复杂区域的近岸波流场模拟.

The nearshore current generated by the breaking of water waves when the waves propagate to the shore is one of the most important hydrodynamic factors in coastal zones. The wave and longshore cur- rent field have been numerically simulated based on the elliptic mild-slope equation and wave-current model. As the wave direction is hard to be defined due to the refraction, diffraction and reflection of waves in some local complicated regions, the wave radiation stresses have been calculated combining with the elliptic mild-slope equation which accounts for the refraction, diffraction and reflection of waves and in which the wave angles have not been involved, and the nearshore wave current field has been numerically simulated based on these, which has made the numerical model can be widely used in complicated coastal regions.