By using the linearized barotropic vorticity equation in polar coordinates the stability of pertur- bations on a large scale circular basic flow is transformed into a generalized eigenvalue problem, yielding the relat...By using the linearized barotropic vorticity equation in polar coordinates the stability of pertur- bations on a large scale circular basic flow is transformed into a generalized eigenvalue problem, yielding the relationship between the growth rate of the amplitude of perturbations and the az- imuthal wave number. Then, numerical experiments whose integration time is 60 model hours are performed in terms of a quasi-geostrophic barotropic model in Cartesian coordinates using the per- turbation stream function field of unstable mode superimposed on a strong and weak circular basic flows as the initial fields. The experimental results reveal that the amplitudes of the initial pertur- bations in the model atmosphere grow with time. The amplitude of the perturbations superimposed on the strong circular basic flow grows quicker and forms a spiral-band-like structure.展开更多
基金This work was supported by the National Natural Science Foundation of China
文摘By using the linearized barotropic vorticity equation in polar coordinates the stability of pertur- bations on a large scale circular basic flow is transformed into a generalized eigenvalue problem, yielding the relationship between the growth rate of the amplitude of perturbations and the az- imuthal wave number. Then, numerical experiments whose integration time is 60 model hours are performed in terms of a quasi-geostrophic barotropic model in Cartesian coordinates using the per- turbation stream function field of unstable mode superimposed on a strong and weak circular basic flows as the initial fields. The experimental results reveal that the amplitudes of the initial pertur- bations in the model atmosphere grow with time. The amplitude of the perturbations superimposed on the strong circular basic flow grows quicker and forms a spiral-band-like structure.
