When fluids get super violent and messy, they actually become four times easier to predict than when they're just flowing normally.
arXiv · March 17, 2026 · 2603.13789
The Takeaway
Turbulence is the ultimate unpredictable mess, but this study found that the most extreme swirls follow a hidden order. By identifying specific vortex patterns, researchers can now see these 'extreme events' coming long before the standard laws of chaos would suggest.
From the abstract
Extreme-event predictability in turbulence is strongly state dependent, yet event-by-event predictability horizons are difficult to quantify without access to governing equations or costly perturbation ensembles. Here we train an autoregressive conditional diffusion model on direct numerical simulations of the two-dimensional Kolmogorov flow and use a CRPS-based skill score to define an event-wise predictability horizon. Enstrophy extremes exhibit a pronounced hierarchy: forecast skill persists