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Angular momentum of forced 2D turbulence in a square no-slip domain. (English) Zbl 1098.76546
Summary: Self-organization of forced two-dimensional (2D) turbulence in a square no-slip domain may drive the global angular momentum to sudden peak values. This ‘spin-up’ process was observed in several direct numerical simulations (DNS) for intermediate integral-scale Reynolds numbers. The development of viscous boundary layers at the no-slip walls destabilizes the spin-up state, causing it to break-down in semi-regular intervals. After each break-down a new event of self-organization takes place, possibly with a different of rotation.
If certain a priori bounds are satisfied, the evolution of the kinetic energy and the absolute angular momentum may be nearly similar in the spin-up state. Such a similarity defines a large-scale energy saturation time, which is shown to exhibit a lower bound scaling behaviour with respect to the usual turbulent time \(\tau\), based upon the averaged enstrophy dissipation \(\eta\).

76F02 Fundamentals of turbulence
76D05 Navier-Stokes equations for incompressible viscous fluids
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76F40 Turbulent boundary layers
Full Text: DOI
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