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The kinetic energy spectrum of the two-dimensional enstrophy turbulence cascade
KTH, Superseded Departments, Mechanics.
2000 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 12, no 5, 945-947 p.Article in journal (Refereed) Published
Abstract [en]

A direct numerical simulation of forced two-dimensional turbulence with hyperviscosity is performed at resolution 4096(2). A stage is reached at which the flux of enstrophy from large to small scales is approximately constant in time. The cubic and quintic relations for the third-order velocity structure function derived by Lindborg [J. Fluid Mech. 388, 259 (1999)] are verified. The calculated kinetic energy spectrum in the constant enstrophy flux range has the form E(k)=K epsilon(omega)(2/3)k(-3), where epsilon(omega) is the enstrophy dissipation. This is in accordance with the prediction of Kraichnan [Phys. Fluids 10, 1417 (1970)] and Batchelor [Phys. Fluids 12, II233 (1969)]. The logarithmic correction, suggested by Kraichnan [J. Fluid Mech. 47, 525 (1970)], is not present in the calculated spectrum.

Place, publisher, year, edition, pages
2000. Vol. 12, no 5, 945-947 p.
URN: urn:nbn:se:kth:diva-19678ISI: 000086446000002OAI: diva2:338370
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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