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Gyrokinetic Simulation of Magnetic Compressional Modes in General Geometry

Gyrokinetic Simulation of Magnetic Compressional Modes in General Geometry
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Year:    2011

Communications in Computational Physics, Vol. 10 (2011), Iss. 4 : pp. 899–911

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.241110.280111a

Communications in Computational Physics, Vol. 10 (2011), Iss. 4 : pp. 899–911

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:   

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