Comments on the stability of the RSF three-dimensional MHD plasma simulation algorithm
type: Item
instance of: scholarly article
title: Comments on the stability of the RSF three-dimensional MHD plasma simulation algorithm
zbMATH Open document ID: 0575.76113
DOI: 10.1016/0021-9991(85)90036-1
author: K. I. Hopcraft
author: James W. Eastwood
published in: Journal of Computational Physics
publication date: 1985-01-01T00:00:00Z
review text: RSF [see: (*) \textit{H. R. Hicks, B. Carreras, J. A. Holmes, D. K. Lee} and \textit{B. V. Waddell}, ibid. 44, 46-69 (1981; Zbl 0471.76128)] is a spectral code which follows the time evolution of the reduced MHD equations [\textit{B. V. Waddell, B. Carreras, H. R. Hicks} and \textit{J. A. Holmes}, Phys. Fluids 22, 896-910 (1979)]. The purpose of this note is to discuss the stability properties of the time integration scheme used in RSF. We show in this note for both the typographically incorrect published algorithm (*) and for the corrected algorithm [\textit{H. R. Hicks, B. Carreras, J. A. Holmes, D. K. Lee} and \textit{B. V. Waddell}, J. Comput. Phys. 53, 205 (1984)] that stability of the integration scheme relies on the coupling of the flux and vorticity equation: The vorticity advection scheme is of the centred space/forward time type which requires the addition of physical or numerical dissipation for stability.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3920132
zbMATH Keywords: RSF algorithm
zbMATH Keywords: spectral code
zbMATH Keywords: reduced MHD equations
zbMATH Keywords: stability properties of the time integration scheme
zbMATH Keywords: coupling of the flux and vorticity equation
MaRDI profile type: Publication
full work available at URL: 0021-9991(85)90036-1
OpenAlex ID: W2025065209
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description: scientific article; zbMATH DE number 3920132