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DOI 10.2172/6940503
Title Nonconservative and reverse spectral transfer in Hasegawa-Mima turbulence
Creator/Author Terry, P.W. ; Newman, D.E.
Publication Date1993 Jan 01
OSTI IdentifierOSTI ID: 6940503; Legacy ID: DE93010132
Report Number(s)DOE/ER/53291-215
DOE Contract NumberFG02-89ER53291
Other Number(s)Other: ON: DE93010132
Resource TypeTechnical Report
Research OrgWisconsin Univ., Madison, WI (United States). Dept. of Physics
Sponsoring OrgDOE; USDOE, Washington, DC (United States)
Subject70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA; TURBULENCE; ENERGY SPECTRA; MATHEMATICAL MODELS; TRAPPED ELECTRONS; ELECTRONS; ELEMENTARY PARTICLES; FERMIONS; LEPTONS; SPECTRA
Description/AbstractThe 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 10, 1417 (1967)], is found to be significantly modified for a 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.
Country of PublicationUnited States
LanguageEnglish
FormatMedium: ED; Size: Pages: (22 p)
AvailabilityOSTI; NTIS; INIS; GPO Dep.
System Entry Date2008 Jun 30

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