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Asymptotic solutions and convergence studies of the resistive inner region equations

Authors :
A. H. Glasser
Zhirui Wang
Source :
Physics of Plasmas. 27:012506
Publication Year :
2020
Publisher :
AIP Publishing, 2020.

Abstract

A recent publication presents a detailed prescription for constructing global eigenfunctions and complex growth rates for resistive instabilities in axisymmetric toroidal systems, using the method of matched asymptotic expansions. At each singular surface in the plasma, the small-x asymptotic solutions of the ideal MHD outer-region equations are matched to the large-x asymptotic solutions of the resistive inner-region equations, with x being the distance from the singular surface. The success of this method depends upon accurate asymptotic solutions of the resistive inner region equations. Extensive studies have shown that there are not only regimes of excellent agreement with straight-through methods, without asymptotic matching, but also regimes of strong disagreement. In an effort to find the cause of this discrepancy, we present here a different method of constructing asymptotic solutions of the inner region equations and we study the convergence properties of the new and old solutions.

Details

ISSN :
10897674 and 1070664X
Volume :
27
Database :
OpenAIRE
Journal :
Physics of Plasmas
Accession number :
edsair.doi...........35441dba09552701133122d2890d5bdb
Full Text :
https://doi.org/10.1063/1.5134999