Numerical simulation of the geometrical-optics reduction of CE2 and comparisons to quasilinear dynamics

Parker, Jeffrey B.

doi:10.1063/1.5018142

Numerical simulation of the geometrical-optics reduction of CE2 and comparisons to quasilinear dynamics

Journal Article · Thu Mar 22 00:00:00 EDT 2018 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5018142· OSTI ID:1466924

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Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Zonal flows have been observed to appear spontaneously from turbulence in a number of physical settings. A complete theory for their behavior is still lacking. Recently, a number of studies have investigated the dynamics of zonal flows using quasilinear (QL) theories and the statistical framework of a second-order cumulant expansion (CE2). A geometrical-optics (GO) reduction of CE2, derived under an assumption of separation of scales between the fluctuations and the zonal flow, is studied here numerically. The reduced model, CE2-GO, has a similar phase-space mathematical structure to the traditional wave-kinetic equation, but that wave-kinetic equation has been shown to fail to preserve enstrophy conservation and to exhibit an ultraviolet catastrophe. CE2-GO, in contrast, preserves nonlinear conservation of both energy and enstrophy. We show here how to retain these conservation properties in a pseudospectral simulation of CE2-GO. We then present nonlinear simulations of CE2-GO and compare with direct simulations of quasilinear (QL) dynamics. Furthermore, we find that CE2-GO retains some similarities to QL.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1466924

Alternate ID(s):: OSTI ID: 1427890

Report Number(s):: LLNL-JRNL--742576; 897424

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 5 Vol. 25; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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