Maps of absolute value of the total velocity field (left, in arbitrary code units), of the turbulent velocity field reconstructed with our method (centre) and of the input turbulent velocity field (right) for two tests with a different slope for the background velocity profile (α) and for the number of injected turbulent patches, N (see Sect. 2.1 for details). In the top row we assumed α =  −0.5, N = 10 and σ_v/v_tot = 0.3, while in the bottom row we assumed α =  −0.5, N = 40 and σ_v/v_tot = 3.