Nonconservative and reverse spectral transfer in Hasegawa--Mima turbulence

Journal Article · Thu Jul 01 00:00:00 EDT 1993 · Physics of Fluids B; (United States)

DOI:https://doi.org/10.1063/1.860795· OSTI ID:6519018

Terry, P W; Newman, D E ^[1]

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1. Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706 (United States)

The dual cascade is generally represented as a conservative cascade of enstrophy to short wavelengths through an enstrophy similarity range and an inverse cascade of energy to long wavelengths through an energy similarity range. This picture, based on a proof due to Kraichnan [Phys. Fluids [bold 10], 1417 (1967)], is found to be significantly modified for spectra of finite extent. Dimensional arguments and direct measurement of spectral flow in Hasegawa--Mima turbulence indicate that for both the energy and enstrophy cascades, transfer of the conserved quantity is accompanied by a nonconservative transfer of the other quantity. The decrease of a given invariant (energy or enstrophy) in the nonconservative transfer in one similarity range is balanced by the increase of that quantity in the other similarity range, thus maintaining net invariance. The increase or decrease of a given invariant quantity in one similarity range depends on the injection scale and is consistent with that quantity being carried in a self-similar transfer of the other invariant quantity. This leads, in an inertial range of finite size, to some energy being carried to small scales and some enstrophy being carried to large scales.

• DOE Contract Number: FG02-89ER53291
• OSTI ID: 6519018
• Journal Information: Physics of Fluids B; (United States), Vol. 5:7; ISSN 0899-8221
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
TURBULENT FLOW
ENERGY SPECTRA
ENERGY TRANSFER
CASCADE THEORY
ENERGY CASCADE
MAGNETOHYDRODYNAMICS
NAVIER-STOKES EQUATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
FLUID MECHANICS
HYDRODYNAMICS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SPECTRA
WASTE HEAT UTILIZATION
WASTE PRODUCT UTILIZATION
661300* - Other Aspects of Physical Science- (1992-)
700340 - Plasma Waves
Oscillations
& Instabilities- (1992-)