ANALYSIS OF THE INTER-TRANSFOMATION OF EQUIVALENT BAROTROPIC AND BAROCLINIC ROSSBY WAVES
王永中, 夏友龙, 邓北胜
Abstract
王永中, 夏友龙, 邓北胜
Abstract
By using the low-spectral model simplified from quasi-geostrophic approximation two-levelmodel,we obtained the result that the equivalent barotropic state is an equilibrium state of theatmosphere in that model,and discussed the conditions needed for existing the Rossby wavepossessing the equivalent barotropic structure.And then we derived the oscillation equation reflectingthe phase change of Rossby wave between higher and lower levels from the basic state of equivalentbarotropic stationary Rossby wave,indicating the relations between the change of difference of phaseat higher and lower levels and the disturbance of vertical shear,the amplitude disturbance of the partof waves of stream function and thermal wind stream function on the average level (A′ and B′).It isconcluded that the inter-transformation exists between Rossby waves possessing the equivalentbarotropic and baroclinic structure.
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By using the low-spectral model simplified from quasi-geostrophic approximation two-levelmodel,we obtained the result that the equivalent barotropic state is an equilibrium state of theatmosphere in that model,and discussed the conditions needed for existing the Rossby wavepossessing the equivalent barotropic structure.And then we derived the oscillation equation reflectingthe phase change of Rossby wave between higher and lower levels from the basic state of equivalentbarotropic stationary Rossby wave,indicating the relations between the change of difference of phaseat higher and lower levels and the disturbance of vertical shear,the amplitude disturbance of the partof waves of stream function and thermal wind stream function on the average level (A′ and B′).It isconcluded that the inter-transformation exists between Rossby waves possessing the equivalentbarotropic and baroclinic structure.
Key concepts: Barotropic fluid, Baroclinity, Rossby wave, Rossby radius of deformation, Rossby number, Physics, Atmospheric wave, Geology