Simulations of the m = 2 mode with l/R = 0.5, ρ_i/ρ_e = 5, and different initial amplitudes. Cross-sectional cuts of the density at the tube center, z = 0, for the cases with v₀/v_A, i = 0.02 (top left), v₀/v_A, i = 0.05 (top right), v₀/v_A, i = 0.1 (bottom left), and v₀/v_A, i = 0.15 (bottom right). Only a subregion of the complete numerical domain in the vicinity of the flux tube is shown. A snapshot of the evolution at t/P_k = 1.84 is displayed in the still image. The complete temporal evolution is available in the accompanying movie.