Spectral Reduction: A Statistical Description of Turbulence

Journal Article · Mon Dec 27 00:00:00 EST 1999 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.83.5491· OSTI ID:20215118

Bowman, John C ^[1]; Shadwick, B A ^[2]; Morrison, P J ^[3]

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1. Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1 (Canada)
2. The Institute for Advanced Physics, Conifer, Colorado 80433-7727 (United States)
3. Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712-1081 (United States)

A method is described for predicting statistical properties of turbulence. Collections of Fourier amplitudes are represented by nonuniformly spaced modes with enhanced coupling coefficients. The statistics of the full dynamics can be recovered from the time-averaged predictions of the reduced model. A Liouville theorem leads to inviscid equipartition solutions. Excellent agreement is obtained with two-dimensional forced-dissipative pseudospectral simulations. For the two-dimensional enstrophy cascade, logarithmic corrections to the high-order structure functions are observed. (c) 1999 The American Physical Society.

• OSTI ID: 20215118
• Journal Information: Physical Review Letters, Vol. 83, Issue 26; Other Information: PBD: 27 Dec 1999; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
TURBULENCE
INCOMPRESSIBLE FLOW
FOURIER ANALYSIS
STATISTICS
LIOUVILLE THEOREM
THEORETICAL DATA