Fig. 3: Growth of the mixing layer.
From: From the butterfly effect to spontaneous stochasticity in singular shear flows
The growth ot the mixing layer is observed by measuring the evolution of the mixing length \(\ell\) as a function of time. The main figure shows this evolution in log–log scale for both the Navier–Stokes regularization (blue) characterized by the viscosity \(\nu\) and the Birkhoff–Rott regularization (red) characterized by the number of vortices \(N_b\). The black dashed line represents the linear scaling \(\ell \sim 0.029 U t\), where \(U\) is the initial velocity jump. Inset shows the convergence for the universal dimensionless pre-factor \(\alpha=\ell/Ut\) towards its asymptotic value \(\alpha_\infty \simeq 0.029\) (black dashed line).
