Berera, Arjun; Ho, Richard D. J. G.. (2017). Chaotic properties of a turbulent isotropic fluid, [dataset]. University of Edinburgh. School of Physics and Astronomy. http://dx.doi.org/10.7488/ds/1993.
By tracking the divergence of two initially close trajectories in phase space of forced turbulence,
the relation between the maximal Lyapunov exponent λ, and the Reynolds number Re is measured
using direct numerical simulations, performed on up to 2048^3 collocation points. The Lyapunov
exponent is found to solely depend on the Reynolds number with λ ∝ Re^0.53 and that after a
transient period the divergence of trajectories grows at the same rate at all scales. Finally a linear
divergence is seen that is dependent on the energy forcing rate. Links are made with other chaotic