Inviscid nonlinear stability of barotropic steady flow

摘要: Abstract The nonlinear stability of inviscid forced flow in a β-plane channel is investigated with barotropic model. equilibrium-forced whose considered results from the interaction constant westerly mean zonal over finite-amplitude orography. Fully integrations quasi-geostrophic vorticity equation, initialized equilibrium flows which are slightly disturbed by their fastest-growing linear disturbances, reveals possibility explosive instability. Along this period disturbance growth there exists an interesting vacillation arising periodic interference between forced. quasi-stationary wave on scale topography and free travelling (with same horizontal wavenumber). Although most can be explained using simple theory some effects also noted. breakdown theory, as well as, subsequent behaviour...