  We observe a symmetry-breaking transition from a turbulent to a
self-organized state in direct numerical simulation of the Navier-Stokes
equation at very low Reynolds number. In this self-organized state the kinetic
energy is contained only in modes at the lowest resolved wavenumber, the
skewness vanishes, and visualization of the flows shows a lack of small-scale
structure, with the vorticity and velocity vectors becoming aligned (a Beltrami
flow).
