Small-scale dynamics of high-Reynolds-number two-dimensional turbulence

Details Small-scale dynamics of high-Reynolds-number two-dimensional turbulence Small-scale dynamics of high-Reynolds-number two-dimensional turbulence

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvl..57..683b&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 57, Aug. 11, 1986, p. 683-686.

Statistics

Computation

59

Computational Fluid Dynamics, Energy Spectra, High Reynolds Number, Incompressible Flow, Turbulent Flow, Two Dimensional Flow, Digital Simulation, Flow Visualization, Vorticity

Scientific paper

The free decay of two-dimensional turbulence is simulated by direct numerical integration of the incompressible Navier-Stokes equations at resolutions of 512 x 512 and, for flows with symmetries of 1024 x 1024. At early times, quasi-rectilinear vorticity-gradient sheets develop, with a thickness decaying exponentially in time until dissipation becomes relevant. The energy spectrum then displays a k exp n range with n of about -4. At later times, a transition to n of about -3 is observed. Vorticity gradients are then distributed on reconnecting, elongated, dissipative structures.

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