Numercial solution of Lundquist equations of magnetohydrodynamics
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- by R. L. Johnston and S. K. Pal PDF
- Math. Comp. 28 (1974), 33-44 Request permission
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.References
- F. G. Friedlander, Sound pulses in a conducting medium, Proc. Cambridge Philos. Soc. 55 (1959), 341–367. MR 110409, DOI 10.1017/s0305004100034137
- A. Jeffrey and T. Taniuti, Non-linear wave propagation. With applications to physics and magnetohydrodynamics, Academic Press, New York-London, 1964. MR 0167137
- R. L. Johnston and S. K. Pal, The numerical solution of hyperbolic systems using bicharacteristics, Math. Comp. 26 (1972), 377–392. MR 305628, DOI 10.1090/S0025-5718-1972-0305628-6 R. L. Johnston, Numerical Solution of Problems of Dynamic Elasticity and Magnetohydrodynamics, Presented at SYNSPADE (1970), University of Maryland, College Park, Md. 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.
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Math. Comp. 28 (1974), 33-44
- MSC: Primary 76.65
- DOI: https://doi.org/10.1090/S0025-5718-1974-0329441-0
- MathSciNet review: 0329441