A pseudospectral algorithm for three-dimensional magnetohydrodynamic simulation
type: Item
instance of: scholarly article
title: A pseudospectral algorithm for three-dimensional magnetohydrodynamic simulation
zbMATH Open document ID: 0555.76093
DOI: 10.1016/0021-9991(84)90034-2
author: D. Kharzeev
published in: Journal of Computational Physics
publication date: 1984-01-01T00:00:00Z
review text: An algorithm for the solution of the three-dimensional resistive magnetohydrodynamic equations in toroidal geometry is presented. The algorithm employs the pseudospectral method for approximation in the two periodic coordinates, and finite differences in the radial direction. Efficient fast Fourier transforms are used to communicate between configuration and Fourier space. Leapfrog time advancement is used for advective terms. Diffusion terms are treated implicitly to avoid severe time step restrictions. Sample cases are presented, and a comparison of the method with standard finite difference techniques is presented and discussed.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76X05
zbMATH DE Number: 3885572
zbMATH Keywords: three-dimensional resistive magnetohydrodynamic equations
zbMATH Keywords: toroidal geometry
zbMATH Keywords: pseudospectral method
zbMATH Keywords: finite differences
zbMATH Keywords: fast Fourier transforms
zbMATH Keywords: Leapfrog time advancement
MaRDI profile type: Publication
full work available at URL: 0021-9991(84)90034-2
OpenAlex ID: W2062219197
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description: scientific article; zbMATH DE number 3885572