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Mathematics of Computation

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Numercial solution of Lundquist equations of magnetohydrodynamics

Authors: R. L. Johnston and S. K. Pal
Journal: Math. Comp. 28 (1974), 33-44
MSC: Primary 76.65
MathSciNet review: 0329441
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Abstract: A method of bicharacteristics [3] is used to derive a numerical method for solving multidimensional nonlinear Lundquist equations of magnetohydrodynamics. Actual numerical computations are carried out to solve two specific problems of magnetohydrodynamics--the magnetohydrodynamic initial-pressure problem and a problem of cylindrical waves in a transverse magnetic field due to a thin current-carrying wire perpendicular to the plane of the fluid.

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Keywords: Bicharacteristic, finite difference, hyperbolic system, magnetohydrodynamics, Lundquist equations
Article copyright: © Copyright 1974 American Mathematical Society

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