Volume 10, Issue 4
Gyrokinetic Simulation of Magnetic Compressional Modes in General Geometry

Peter Porazik & Zhihong Lin

Commun. Comput. Phys., 10 (2011), pp. 899-911.

Published online: 2011-10

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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.

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@Article{CiCP-10-899, author = {}, title = {Gyrokinetic Simulation of Magnetic Compressional Modes in General Geometry}, journal = {Communications in Computational Physics}, year = {2011}, volume = {10}, number = {4}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.241110.280111a}, url = {http://global-sci.org/intro/article_detail/cicp/7467.html} }
TY - JOUR T1 - Gyrokinetic Simulation of Magnetic Compressional Modes in General Geometry JO - Communications in Computational Physics VL - 4 SP - 899 EP - 911 PY - 2011 DA - 2011/10 SN - 10 DO - http://doi.org/10.4208/cicp.241110.280111a UR - https://global-sci.org/intro/article_detail/cicp/7467.html KW - AB -

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.

Peter Porazik & Zhihong Lin. (2020). Gyrokinetic Simulation of Magnetic Compressional Modes in General Geometry. Communications in Computational Physics. 10 (4). 899-911. doi:10.4208/cicp.241110.280111a
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