A singular finite element technique for calculating continuum damping of Alfvén eigenmodes

Date

2015-02-06

Authors

Bowden, G. W.
Hole, M. J.

Journal Title

Journal ISSN

Volume Title

Publisher

American Institute of Physics

Abstract

Damping due to continuum resonances can be calculated using dissipation-less ideal magnetohydrodynamics provided that the poles due to these resonances are properly treated. We describe a singular finite element technique for calculating the continuum damping of Alfvén waves. A Frobenius expansion is used to determine appropriate finite element basis functions on an inner region surrounding a pole due to the continuum resonance. The location of the pole due to the continuum resonance and mode frequency is calculated iteratively using a Galerkin method. This method is used to find the complex frequency and mode structure of a toroidicity-induced Alfvén eigenmode in a large aspect ratio circular tokamak and is shown to agree closely with a complex contour technique.

Description

Keywords

Citation

Source

Physics of Plasmas

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1063/1.4907792

Restricted until