Extended Data Fig. 3: Grid resolution tests.

a heated pipe, b plug forcing, c parabolic forcing and d MHD channel at a Re above the critical point where the flow is fully turbulent. The grid convergence is checked by comparing the turbulent fluctuations (r.m.s. velocities) of our simulations and simulations with a resolution 50% higher in each direction. Solid lines with lighter colours are velocity fluctuations profiles from our simulations, while dashed lines with darker colours are from simulations with mesh refinement.