Stochastic modeling of trajectories in turbulence

Particle dispersion in two-dimensional turbulence (left) and a simple three-parameter stochastic model (right). The animations are nearly indistinguishable, indicating that the stochastic model adequately captures the essential behavior of turbulent motions. See Lilly, Sykulski, Early, and Olhede (2017) for an examination of the stochastic model and its relationship to turbulence theory.

⟸

⟹