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Gyrokinetic Simulation of Magnetic Compressional Modes in General Geometry

Published online by Cambridge University Press:  20 August 2015

Peter Porazik  and
Zhihong Lin
Peter Porazik*
Affiliation:
Department of Physics and Astronomy, University of California, Irvine, CA 92697, USA
Zhihong Lin*
Affiliation:
Department of Physics and Astronomy, University of California, Irvine, CA 92697, USA
*
Email:pporazik@uci.edu
Corresponding author.Email:zhihongl@uci.edu
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Abstract

A method for gyrokinetic simulation of low frequency (lower than the cyclotron frequency) magnetic compressional modes in general geometry is presented. The gyrokinetic-Maxwell system of equations is expressed fully in terms of the compressional component of the magnetic perturbation, δB∥, with finite Larmor radius effects. This introduces a “gyro-surface” averaging of δB∥ in the gyrocenter equations of motion, and similarly in the perpendicular Ampere’s law, which takes the form of the perpendicular force balance equation. The resulting system can be numerically implemented by representing the gyro-surface averaging by a discrete sum in the configuration space. For the typical wavelength of interest (on the order of the gyroradius), the gyro-surface averaging can be reduced to averaging along an effective gyro-orbit. The phase space integration in the force balance equation can be approximated by summing over carefully chosen samples in the magnetic moment coordinate, allowing for an efficient numerical implementation.

Keywords

02.60.-x02.70.-c52.65.TtFinite Larmor radius effectsgyrokinetic simulationcompressional modesgyro-surface average
Type
Research Article
Information
Communications in Computational Physics , Volume 10 , Issue 4 , October 2011 , pp. 899 - 911
Copyright
Copyright © Global Science Press Limited 2011

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