The Richardson Cascade

This lecture covers the Richardson cascade, explaining the energy cascade through inertial effects and the dominance of viscous dissipation. It discusses the assumptions related to small-scale generations of eddies and the implications of space-filling and local energy transport. The lecture also delves into the cartoon representation of the cascade and the concept of scale separation and different Reynolds numbers. Various contributions to the integral are explored, along with the injection, flux, and dissipation of energy. The Richardson cascade is further illustrated through poetic analogies and the significance of Taylor scale and integral scale Reynolds numbers.