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18. On the Decay of Isotropic Turbulence.

Author

Oberlack, Martin, Khujadze, George, Günther, Silke, Weller, Tanja, Frewer, Michael, Peinke, Joachim, Barth, Stephan, Davidson, P. A., Kaneda, Y., and Ishida, T.

Abstract

We investigate the decay of freely-evolving, isotropic turbulence whose spectrum takes the form E(k→0)∼Ik4, I being Loitsyansky's integral. We report numerical simulations in a periodic domain whose dimensions, lbox, are much larger than the integral scale of the turbulence, l. We find that, provided lbox≫l and Re≫1, the turbulence evolves to a state in which Loitsyansky's integral is approximately constant and Kolmogorov's decay law, u2∼t−10/7, holds true. The approximate conservation of I in fully-developed turbulence implies that the long-range interactions between remote eddies, as measured by the triple correlations, are very weak. [ABSTRACT FROM AUTHOR]

Published
2007
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