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Enstrophy dissipation in freely evolving two-dimensional turbulence
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UNSPECIFIED (2005) Enstrophy dissipation in freely evolving two-dimensional turbulence. PHYSICS OF FLUIDS, 17 (8). -. doi:10.1063/1.2001687 ISSN 1070-6631.
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Official URL: http://dx.doi.org/10.1063/1.2001687
Abstract
Freely decaying two-dimensional Navier-Stokes turbulence is studied. The conservation of vorticity by advective nonlinearities renders a class of Casimirs that decays under viscous effects. A rigorous constraint on the palinstrophy production by nonlinear transfer is derived, and an upper bound for the enstrophy dissipation is obtained. This bound depends only on the decaying Casimirs, thus allowing the enstrophy dissipation to be bounded from above in terms of initial data of the flows. An upper bound for the enstrophy dissipation wave number is derived and the new result is compared with the classical dissipation wave number. (c) 2005 American Institute of Physics.
Item Type: | Journal Article | ||||
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Subjects: | T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics |
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Journal or Publication Title: | PHYSICS OF FLUIDS | ||||
Publisher: | AMER INST PHYSICS | ||||
ISSN: | 1070-6631 | ||||
Official Date: | August 2005 | ||||
Dates: |
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Volume: | 17 | ||||
Number: | 8 | ||||
Number of Pages: | 3 | ||||
Page Range: | - | ||||
DOI: | 10.1063/1.2001687 | ||||
Publication Status: | Published |
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