EVOLUTION OF COMPLEX SINGULARITIES AND KOLMOGOROV SCALING IN TRUNCATED THREE-DIMENSIONAL EULER FLOWS

The analyticity strip method is used to trace complex singularities in direct numer- ical simulations of the Taylor-Green flows, performed with up to 2048 3 colloca- tion points. No indication of finite-time real singularity is found. Simulations are also carried out beyond the time at which the truncated equations cease to approx- imate the original Euler equations. Kolmogorov-like turbulence is then obtained during an intermediate regime of the spontaneous relaxation of (time-reversible) spectrally-truncated Euler equations towards absolute equilibrium.