Mathematical Analysis of Continental Shelf Waves on a Curved Coast

对世界各地海洋沿岸速度场的测量表明，大部分流体能量包含在周期为几天或更长时间的运动中。对同一海岸不同地点的测量结果比较表明，一般来说，这些低频扰动沿北半球向右、南半球向左的浅水海岸传播。这些浪被称为大陆架波(CSWS)。本提案的目的是使用一系列日益复杂的模型来确定沿弯曲海岸的非传播性、被困的CSW的形式。这种非传播模式的存在意义重大，因为它们往往受到大气天气系统的强迫，大气天气系统具有相似的几天周期、相似的水平范围以及相当广泛的空间和时间光谱。因此，在低频水平速度场中，这种模式被捕获的区域可能会显示出比正常能量更高的能量。

Measurements of velocity fields along the coasts of oceans throughout the world show that much of the fluid energy is contained in motions with periods of a few days or longer. The comparison of measurements at different places along the same coast show that in general these low-frequency disturbances propagate along coasts with shallow water to the right in the northern hemisphere and to the left in the southern hemisphere. These waves have come to be known as continental shelf waves (CSWs). The purpose of the present proposal is to determine, using a selection of models of increasing complexity, the form of non-propagating, trapped CSWs along curved coasts. The existence of such non-propagating modes is significant as they would tend to be forced by atmospheric weather systems, which have similar periods of a few days, similar horizontal extent, and a reasonably broad spectrum in space and time. Areas where such modes were trapped would thus appear to be likely to show higher than normal energy in the low frequency horizontal velocity field.