Temporal Intermittency in the Energy Cascade Process and Local Lyapunov Analysis in Fully-Developed Model Turbulence

Abstract

Energy cascade process is investigated numerically on a scalar model of fully-developed three-dimensional turbulence. It is found that energy propagates through the inertial range intermittently like bursts which are separated by quiescent periods (Siggia's view revisited). During the activated phase the first local Lyapunov exponent oscillates violently, and the support of the first Lyapunov vector spreads over the inertial subrange.