旋转球体上二维水体长波的一个典型驻波问题

A TYPICAL STANDING WAVE OF TWO-DIMENSIONAL WATER LONG WAVE ON ROTATING GLOBE

通过分析等深矩形海湾里的潮波运动，研究了旋转球体（地球）上二维水体长波的一个典型驻波问题。分析对比该二维驻波和一维驻波，可以看出前者的图形比后者要复杂得多，但其规律性却是十分明显的；其中最主要的特征是空间上相间配置的无潮点和圆流点。由矩形海湾里潮波能量传播的分析可知，判断该二维驻波的运动学特征，主要应从波动的宏观结构着眼，而不是像一维的那样判断有无能量的传播。文章着重从理论上进行分析，但是在实际海洋中不乏这种潮波运动的广泛例证。

By analyzing the tidal wave movement in a rectangular basin with uniform depth, a typical problem of standing wave of two-dimensional long wave on the rotating globe is studied. Comparison betwee this two-dimensional wave and one-dimensional standing wave shows that, the pattern for the former is more complex than that for the latter, but its regularity is obvious. The main characteristic is alternate disposition of elevation amphidromic point and current amphidromic point in the space domain. Analysis on the propagation of tidal energy in the rectangular basin shows that, determination of this two-dimensional standing wave should be in the light of the macroetructure of the wave, but not according to whether there is energy propagation or not (like the situation of onedimensional standing wave). The paper stresses on the theoretical analysis. There are many examples of this kind of tidal wave movement in the real ocean.