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Diminishing inverse transfer and non-cascading dynamics in surface quasi-geostrophic turbulence
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UNSPECIFIED (2006) Diminishing inverse transfer and non-cascading dynamics in surface quasi-geostrophic turbulence. PHYSICA D-NONLINEAR PHENOMENA, 213 (1). pp. 76-84. doi:10.1016/j.physd.2005.11.001 ISSN 0167-2789.
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Official URL: http://dx.doi.org/10.1016/j.physd.2005.11.001
Abstract
he inverse transfer in the forced-dissipative surface quasi-geostrophic equation is studied, when the natural dissipation operator mu(-Delta)(1/2) lis employed. The nonlinear transfer of this system conserves the two quadratic quantities psi(1) = (vertical bar(-Delta)(1/4) psi vertical bar(2)>/2 and psi(2) = (vertical bar(-Delta)(1/2) psi vertical bar(2))/2 (kinetic energy), where psi is the stream function and <.> denotes a spatial average. In the limit of infinite domain, the kinetic energy density psi(2) remains bounded, for the natural dissipation operator. For the power-law inverse-transfer region, the inverse flux of T-1 diminishes as it proceeds toward sufficiently low wavenumbers, whenever the kinetic energy psi(2) remains bounded. This implies that no persistent (non-dissipative) inverse cascade of psi(1) to ever-lower wavenumbers is sustainable, as long as the dissipation parameter mu it is held fixed. This result does not rule out the possibility that for sufficiently small mu, a finite inverse flux would reach a certain low wavenumber. Numerical results supporting the theoretical predictions are presented. (c) 2005 Elsevier B.V. All rights reserved.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | PHYSICA D-NONLINEAR PHENOMENA | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 1 January 2006 | ||||
Dates: |
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Volume: | 213 | ||||
Number: | 1 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 76-84 | ||||
DOI: | 10.1016/j.physd.2005.11.001 | ||||
Publication Status: | Published |
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