Spatially damped continental shelf waves (CSWs) with diurnal tidal frequency outside Lofoten–Vesterålen in north-west Norway are studied theoretically for an idealized shelf topography. Wave damping is caused by the exchange of fluid on the shelf with an inner archipelago through a permeable coastline. This exchange is modelled by the application of a Robin condition at the coastal boundary. It is shown that CSWs with diurnal frequencies are possible in a small wave number range centred around zero group velocity. By calculating the nonlinear radiation stress components in the spatially damped CSWs, we find the time- and depth averaged Lagrangian mean drift current to second order along the coast. We show that the Lagrangian mean drift current is independent of the value of the damping coefficient, however small, as long as it is nonzero. This illustrates the singular behaviour of the Lagrangian wave drift problem for CSWs.

从理论上研究了挪威西北部Lofoten–Vesterålen以外具有昼夜潮汐频率的空间阻尼大陆架波（CSW），以获得理想的架势。波浪衰减是由于货架上的流体与内群岛通过可渗透的海岸线进行交换而引起的。通过在沿海边界应用罗宾条件来模拟这种交换。结果表明，具有昼夜频率的CSW在以零群速度为中心的小波数范围内是可能的。通过计算空间阻尼CSW中的非线性辐射应力分量，我们找到了沿海岸沿时间和深度平均的拉格朗日平均漂移电流到二阶。我们表明，拉格朗日平均漂移电流与阻尼系数的值无关，但是只要不为零，该电流就很小。