地形坡度和越赤道大尺度低空气流

本文用取β近似的简化的正压线性方程研究地形坡度和越赤道大尺度低空气流的关系。结果表明:如大尺度强迫场用符合实际的解析表达式表示,则消元后方程的齐次部分类似于waber方程,因此解和非齐次项都可用Hermite函数展开。这样得到的精确解基本上能表示低空平均气流中强风带和流场形势的特点;并且地形坡度和这些特点特别是和风速大小有关。还对非齐次weber方程在较一般的源函数分布和边界条件下,对不同地形坡度求了数值解,以便研究这种情况下地形坡度和平均风场的关系.

THE RELATIONSHIP BETWEEN THE TOPOGRAPHICAL SLOPE AND THE LARGE SCALE LOW LEVEL CROSS EQUATORIAL CURRENT

With approximation the simplified barotropic and linearized equations are used to investigate the relationship between the topographical slope and the large scale low level cross equatorial current.The results indicate that if the large scale forcing field is expressed in terms of an analytical function consistent with the actualities, then after eliminating the dependent variables, the homogeneous part of the resulting is equation analogous with the Weber equation, thus the solution as well as the free term can be expanded by means of the Hermite function.The exact solution thus obtained is essentionally able to signify the characteristics of the strong wind belt and the flow pattern in the mean low level current, and the topographical slope has some relation with these characteristics, particularly with the wind speed.In addition, under a more general source distribution function and an arbitrary boundary condition, we obtain the numerical solutions of the non-homogeneous Weber equation for different topographical slopes, so as to study the relationship between the topographical slope and the mean wind field under these conditions.