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Warm cascades and anomalous scaling in a diffusion model of turbulence
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UNSPECIFIED (2004) Warm cascades and anomalous scaling in a diffusion model of turbulence. PHYSICAL REVIEW LETTERS, 92 (4). -. doi:10.1103/PhysRevLett.92.044501 ISSN 0031-9007.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.92.044501
Abstract
A phenomenological turbulence model in which the energy spectrum obeys a nonlinear diffusion equation is analyzed. The general steady state contains a nonlinear mixture of the constant-flux Kolmogorov and fluxless thermodynamic components. Such "warm cascade" solutions describe a bottleneck phenomenon of spectrum stagnation near the dissipative scale. Transient self-similar solutions describing a finite-time formation of steady cascades are analyzed and found to exhibit nontrivial scaling behavior.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | PHYSICAL REVIEW LETTERS | ||||
Publisher: | AMERICAN PHYSICAL SOC | ||||
ISSN: | 0031-9007 | ||||
Official Date: | 30 January 2004 | ||||
Dates: |
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Volume: | 92 | ||||
Number: | 4 | ||||
Number of Pages: | 4 | ||||
Page Range: | - | ||||
DOI: | 10.1103/PhysRevLett.92.044501 | ||||
Publication Status: | Published |
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