Abstract
We have investigated by direct numerical simulation the twodimensional imcompressible Navier-Stokes equation with a smallscale Kolmogorov-type forcing [one-dimensional periodic forcing f = (R~k* sinfc/y, 0)], for a large range of Reynolds numbers. The bifurcation sequence leading to strongly turbulent states is described. The formation of large-scale structures associated with successive bifurcations are discussed. Two scenarios of the transition to turbulent states are observed: a quasiperiodic scenario leading to a weakly chaotic state, and an intermittent one generating strong spatiotemporal turbulence. The dynamics of space structures in the turbulent regime are also analyzed.
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