High-order statistics and extreme fluctuations in stationary turbulence via one-dimensional turbulence

High-Reynolds number turbulence presents an enormous computational challenge due to its large scale separation. We explore a reduced dimensional approach to compute forced Homogeneous Isotropic Turbulence (HIT) up to a Taylor-scale Reynold's number of 5428. The developed formulation based on one-dimensional turbulence captures many quantitative characteristics of HIT including energy spectra, normalized dissipation rate, skewness, energy flux, high-order structure functions and intermittency, along with an insight into occurrence of extreme events.