The dynamics of spectral transfer in a model of drift wave turbulence with two nonlinearities
Abstract
The spectral transfer dynamics of twodimensional (2D) drift wave turbulence over a broad range incorporating long and shortwavelength extremes is studied numerically in the context of dissipative trapped electron convective cell turbulence. The direction, locality, and isotropy of energy and enstrophy transfer in wavenumber space are determined by examining energy and enstrophy transfer rates, the enstrophy generation rate, spectra, and the spectrum response to perturbative impulses. Energy transfer is characterized by two subranges, according to the dominant nonlinearity, and a dynamically complex crossover region dividing the subranges. In the longwavelength [bold E][times][bold B] subrange, energy transfer is nonlocal and anisotropic, proceeding to shorter wavelengths with significant generation of enstrophy. In the shortwavelength polarization drift subrange, energy transfer is local and, in the absence of sources and sinks, is dominated by an inverse cascade, consistent with the near conservation of enstrophy on dynamical time scales. In the crossover region, there is isotropic nonlocal forward transfer, as well as cascading to long wavelength. A significant shift of the frequency spectrum peak in the crossover region is shown to result from the cross coupling of the two nonlinearities. The shift is in the electron diamagnetic direction and increases with increasing wave number, consistentmore »
 Authors:

 Department of Physics, University of WisconsinMadison, Madison, Wisconsin 53706 (United States)
 Department of Physics, University of California at San Diego, La Jolla, California 92093 (United States)
 Publication Date:
 OSTI Identifier:
 6685236
 DOE Contract Number:
 FG0289ER53291; FG0388ER53275
 Resource Type:
 Journal Article
 Journal Name:
 Physics of Fluids B; (United States)
 Additional Journal Information:
 Journal Volume: 5:4; Journal ID: ISSN 08998221
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; TURBULENCE; ENERGY TRANSFER; NUMERICAL SOLUTION; PLASMA WAVES; TWODIMENSIONAL CALCULATIONS; 700340*  Plasma Waves, Oscillations, & Instabilities (1992)
Citation Formats
Newman, D E, Terry, P W, Diamond, P H, and Liang, Y. The dynamics of spectral transfer in a model of drift wave turbulence with two nonlinearities. United States: N. p., 1993.
Web. doi:10.1063/1.860904.
Newman, D E, Terry, P W, Diamond, P H, & Liang, Y. The dynamics of spectral transfer in a model of drift wave turbulence with two nonlinearities. United States. https://doi.org/10.1063/1.860904
Newman, D E, Terry, P W, Diamond, P H, and Liang, Y. 1993.
"The dynamics of spectral transfer in a model of drift wave turbulence with two nonlinearities". United States. https://doi.org/10.1063/1.860904.
@article{osti_6685236,
title = {The dynamics of spectral transfer in a model of drift wave turbulence with two nonlinearities},
author = {Newman, D E and Terry, P W and Diamond, P H and Liang, Y},
abstractNote = {The spectral transfer dynamics of twodimensional (2D) drift wave turbulence over a broad range incorporating long and shortwavelength extremes is studied numerically in the context of dissipative trapped electron convective cell turbulence. The direction, locality, and isotropy of energy and enstrophy transfer in wavenumber space are determined by examining energy and enstrophy transfer rates, the enstrophy generation rate, spectra, and the spectrum response to perturbative impulses. Energy transfer is characterized by two subranges, according to the dominant nonlinearity, and a dynamically complex crossover region dividing the subranges. In the longwavelength [bold E][times][bold B] subrange, energy transfer is nonlocal and anisotropic, proceeding to shorter wavelengths with significant generation of enstrophy. In the shortwavelength polarization drift subrange, energy transfer is local and, in the absence of sources and sinks, is dominated by an inverse cascade, consistent with the near conservation of enstrophy on dynamical time scales. In the crossover region, there is isotropic nonlocal forward transfer, as well as cascading to long wavelength. A significant shift of the frequency spectrum peak in the crossover region is shown to result from the cross coupling of the two nonlinearities. The shift is in the electron diamagnetic direction and increases with increasing wave number, consistent with the behavior of the renormalized response function. The simulation model does not incorporate the effects of electron inertia, and therefore does not account for the feedback of the frequency shift on nonlinear mode stability. Nevertheless, the simulations provide numerical validation of many aspects of the accompanying analytical investigation [Liang [ital et] [ital al]., Phys. Fluids B [bold 5], 1128 (1993)].},
doi = {10.1063/1.860904},
url = {https://www.osti.gov/biblio/6685236},
journal = {Physics of Fluids B; (United States)},
issn = {08998221},
number = ,
volume = 5:4,
place = {United States},
year = {1993},
month = {4}
}