用Lagrange函数平均法研究非均匀基流中的地形Rossby波

本文提出可以用平均限制性变分原理来研究非均匀基流中地形对Rossby波的影响。所得到的结果与用多重尺度法相一致,但却避免了多重尺度法中的冗繁运算,而且物理意义更加清楚,诸如波作用量密度、波能密度等物理量的定义也更自然、合理。

Study of topographic Rossby wave in uneven basic flow with average method of Lagrange function

In this paper the principle of average limited variation is suggested to study the effect of topography on Rossby Wave in uneven basic flow. The conclusion is the same as that of multi-scale method which needs very complex computation.The definitions of wave action density and wave energy density in this paper are more reasonable.