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

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.

Authors:
;  [1]
  1. Research School of Physical Sciences and Engineering, Australian National University, Acton, ACT 0200 (Australia)
Publication Date:
OSTI Identifier:
22408069
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ALFVEN WAVES; ASPECT RATIO; DAMPING; EIGENVALUES; FINITE ELEMENT METHOD; ITERATIVE METHODS; MAGNETOHYDRODYNAMICS; RESONANCE; TOKAMAK DEVICES

Citation Formats

Bowden, G. W., and Hole, M. J. A singular finite element technique for calculating continuum damping of Alfvén eigenmodes. United States: N. p., 2015. Web. doi:10.1063/1.4907792.
Bowden, G. W., & Hole, M. J. A singular finite element technique for calculating continuum damping of Alfvén eigenmodes. United States. doi:10.1063/1.4907792.
Bowden, G. W., and Hole, M. J. Sun . "A singular finite element technique for calculating continuum damping of Alfvén eigenmodes". United States. doi:10.1063/1.4907792.
@article{osti_22408069,
title = {A singular finite element technique for calculating continuum damping of Alfvén eigenmodes},
author = {Bowden, G. W. and Hole, M. J.},
abstractNote = {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.},
doi = {10.1063/1.4907792},
journal = {Physics of Plasmas},
number = 2,
volume = 22,
place = {United States},
year = {Sun Feb 15 00:00:00 EST 2015},
month = {Sun Feb 15 00:00:00 EST 2015}
}