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arXiv · 1411.7111

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

George W. Bowden·Matthew J. Hole
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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 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 are calculated iteratively using a Galerkin method. This method is used to find the complex frequency and mode structure of a toroidicity-induced Alfvén eigenmode (TAE) in a large aspect ratio circular tokamak and are shown to agree closely with a complex contour technique.

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George W. Bowden, Matthew J. Hole. 2014-11-26. A singular finite element technique for calculating continuum damping of Alfvén eigenmodes. https://doi.org/10.1063/1.4907792

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