A singular finite element technique for calculating continuum damping of Alfv\'en eigenmodes
Abstract
Damping due to continuum resonances can be calculated using dissipation-less ideal magnetohydrodynamics (MHD) provided that the poles due to these resonances are properly treated. We describe a singular finite element technique for calculating the continuum damping of Alfv\'{e}n 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 are calculated iteratively using a Galerkin method. This method is used to find the complex frequency and mode structure of a toroidicity-induced Alfv\'{e}n eigenmode (TAE) in a large aspect ratio circular tokamak and are shown to agree closely with a complex contour technique.
Keywords
Cite
@article{arxiv.1411.7111,
title = {A singular finite element technique for calculating continuum damping of Alfv\'en eigenmodes},
author = {George W. Bowden and Matthew J. Hole},
journal= {arXiv preprint arXiv:1411.7111},
year = {2015}
}
Comments
13 pages, 6 figures