Turbulence initialized by Taylor-Green vortices

Evolution of the vertical derivative of density perturbations $\rho’_{z}$, scaled by the magnitude of the background density gradient \(\left|\bar{\rho}_{z}\right|\), compared across simulations at Prandtl numbers $Pr=[1,7,50]$. Note that as $Pr$ increases, progressively finer detail is visible in the density field.