  In this paper, we mainly study the turbulence of Galerkin truncations of 2D
Navier-Stokes equation under degenerate stochastic forcing and large-scale. We
use a kind of chaotic structure named full-horseshoes to describe it. It is
proved that if the stochastic forcing satisfies some kind of hypoelliptic
condition, then the system has full-horseshoes.
