摘要
By utilizing the barotropic vorticity equation including effects of orography and horizontal diffusion, the linearized equations describing symmetric and antisymmetric motions and their analytic solutions are pre- sented.It can be found from the solutions that no matter what kind of motion may be,each solution consists of three waves,namely,Rossby wave related to initial values,marching wave propagating at Rossby wave velocity and stationary wave.The latter two are closely related to orography and horizontal diffusion. However,if the motion is symmetric at the initial instant,then the antisymmetric components of orography and of horizontal diffusion are likely to lead to the generation of antisymmetric motion.In the steady state, the symmetric flow is connected with symmetric orography and horizontal diffusion and the antisymmetric flow with antisymmetric orography and horizontal diffusion.Further,in order to verify the above analysis, three numerical experiments have been made.The results show that antisymmetric orography can produce antisymmetric motion.Finally,the atmospheric interactions between Northern and Southern Hemispheres are discussed.
By utilizing the barotropic vorticity equation including effects of orography and horizontal diffusion, the linearized equations describing symmetric and antisymmetric motions and their analytic solutions are pre- sented.It can be found from the solutions that no matter what kind of motion may be,each solution consists of three waves,namely,Rossby wave related to initial values,marching wave propagating at Rossby wave velocity and stationary wave.The latter two are closely related to orography and horizontal diffusion. However,if the motion is symmetric at the initial instant,then the antisymmetric components of orography and of horizontal diffusion are likely to lead to the generation of antisymmetric motion.In the steady state, the symmetric flow is connected with symmetric orography and horizontal diffusion and the antisymmetric flow with antisymmetric orography and horizontal diffusion.Further,in order to verify the above analysis, three numerical experiments have been made.The results show that antisymmetric orography can produce antisymmetric motion.Finally,the atmospheric interactions between Northern and Southern Hemispheres are discussed.
