An iterative finite-difference method for hyperbolic systems

Author:

Abarbanel S.,Zwas G.

Abstract

An iterative finite-difference scheme for initial value problems is presented. It is applied to the quasi-linear hyperbolic system representing the one-dimensional time dependent flow of a compressible polytropic gas. The emphasis in this research was on the handling of discontinuities, such as shock waves, and overcoming the post-shock oscillations resulting from nonlinear instabilities. The linear stability is investigated as well. The success of the method is indicated by the monotonic profiles which were obtained for almost all the cases tested.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference9 articles.

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4. Interscience Tracts in Pure and Applied Mathematics, No. 4;Richtmyer, Robert D.,1967

5. E. Rubin & S. Burstein, "Difference methods for the inviscid and viscous equations of a compressible gas," J. Computational Phys., v. 2, 1967.

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