Far-dissipation range of turbulence

Details Far-dissipation range of turbulence Far-dissipation range of turbulence

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvl..70.3051c&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 70, no. 20, p. 3051-3054.

Physics

46

Dissipation, Incompressible Flow, Isotropic Turbulence, Vorticity, Computerized Simulation, Energy Spectra, Low Reynolds Number, Navier-Stokes Equation

Scientific paper

Navier-Stokes turbulence at low Reynolds number (R wavelength of about 15) is studied by high-resolution computer simulation. The energy spectrum in the range 5k sub d to 10k sub d is well fitted by k-alpha exp(-ck/k sub d), where k sub d is the Kolmogorov dissipation wave number, alpha of about 3.3 and c of about 7.1. High-order spatial derivatives of the velocity field exhibit strong intermittency, associated with gentle spatial variation of large-scale structure rather than with sparse, intense small-scale structures. Analysis by the direct-interaction approximation, which ignores intermittency, gives alpha = 3, c of about 11.

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