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Numerical Solution of Flow Problems in Spherical Geometry with Spectral Methods
Author(s) -
Tilgner A.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.199807815117
Subject(s) - discretization , magnetohydrodynamic drive , spectral method , mathematics , spherical geometry , geometry , spectral geometry , collocation (remote sensing) , flow (mathematics) , mathematical analysis , computer science , magnetohydrodynamics , physics , plasma , quantum mechanics , machine learning
This contribution presents a spectral method used for solving magnetohydrodynamic problems in spherical geometry. The advantages of the method for the problem at hand are emphasized. The accuracies obtained with finite differences and a particular spectral discretization (Chebychev collocation) are compared for a one dimensional model problem.