Numercial solution of Lundquist equations of magnetohydrodynamics-Reference-Cited by-同舟云学术

Numercial solution of Lundquist equations of magnetohydrodynamics

Published:1974 Issue:125 Volume:28 Page:33-44
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Johnston R. L.,Pal S. K.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1974-28-125/S0025-5718-1974-0329441-0/S0025-5718-1974-0329441-0.pdf

Reference5 articles.

1. Sound pulses in a conducting medium;Friedlander, F. G.;Proc. Cambridge Philos. Soc.,1959

2. The numerical solution of hyperbolic systems using bicharacteristics;Johnston, R. L.;Math. Comp.,1972

3. R. L. Johnston, Numerical Solution of Problems of Dynamic Elasticity and Magnetohydrodynamics, Presented at SYNSPADE (1970), University of Maryland, College Park, Md.

4. S. K. Pal, Numerical Solution of First-Order Hyperbolic Systems of Partial Differential Equations, Ph.D. Thesis, University of Toronto, 1969. Available as Technical Report #13, Dept. of Computer Science, University of Toronto, Toronto, Canada.

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