POST ADAPTATION FOR A NUMERICAL SOLUTION OF THE SPHERICALLY-SYMMETRIC RIEMANN PROBLEM

B. Yudanin and M. Lax
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B. Yudanin: Dept. of Physics, City College of the City University of New York, New York, NY 10031, USA
M. Lax: Dept. of Physics, City College of the City University of New York, New York, NY 10031, USA;

International Journal of Modern Physics C (IJMPC), 1990, vol. 01, issue 04, 285-298

Abstract: A"folding" transformation is used to reduce a two point boundary value problem to one point boundary values (with double the number of functions). A transformation to quasi-Lagrangian coordinates is used to transform discontinuities to rest. After these transformations the general purpose numerical package POST (partial and ordinary differential equations solver in time and one space coordinates) can be successfully applied to a system of hydrodynamical equations, whose solution exhibits jumps and cusp-type discontinuities. Numerical results are presented for the spherically-symmetric shock problem.

Keywords: Riemann Problem; Shock Waves; Spherical Shock Wave (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1142/S0129183190000165

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