Kolmogorov Scaling for the epsilon-entropy in a Forced Turbulence Simulation

TL;DR

This paper demonstrates that the epsilon-entropy derived from velocity fluctuations in forced turbulence simulations follows Kolmogorov scaling, confirming theoretical predictions in a computational setting.

Contribution

It provides the first numerical evidence that epsilon-entropy in forced turbulence adheres to Kolmogorov scaling using lattice Boltzmann simulations.

Findings

Epsilon-entropy obeys Kolmogorov scaling in forced turbulence.

Simulation results support theoretical turbulence models.

Lattice Boltzmann method effectively captures turbulence scaling laws.

Abstract

We have shown that the epsilon-entropy determined from the time-series of the velocity fluctuation in a forced turbulence simulated by the lattice Boltzmann method obeys the Kolmogorov scaling.