Example disc wind structures using two different MDWs. Top: using #MDW 1. Bottom: using #MDW 5. Left: hydrogen number density n. Middle: poloidal velocity v_p. Right: toroidal/rotational velocity v_ϕ. Calculated assuming the HD 52961 system and i = 70°, r_in = 5 R₂, r_out = 0.99 R_RL, 2 and Ṁ_in = 10⁻³ M_⊙/yr (see Sect. 3). We note the slight discontinuity at a fixed polar angle in the n and v_ϕ profile. This is an artefact from the leapfrog integration performed over the Alfvén surface in the MDW solutions (Jacquemin-Ide et al. 2019), in combination with our projection onto Cartesian coordinates. This introduces no uncertainty on our results.