Efficient methods are used to approximate incompressible Navier-Stokes equations. 2D turbulent flows are simulated in the cavity and behind arrays of cylinders in a channel. They confirm on one hand the presence of an attractor and on the other hand the coexistence of both direct enstrophy and inverse energy cascades. The use of a threshold directly on the vorticity intensity or on the wavelets packets coefficients separate the flow into two parts, each part corresponding to one cascade.
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