Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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THE FORMULATION OF LINEAR THEORY OF A REFLECTED SHOCK IN CYLINDRICAL GEOMETRY

  • Kim, Ju-Hong (Department of Mathematics, Sunghsin Women's University)
  • Published : 2002.05.01

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Abstract

In this paper we formulate the linear theory for compressible fluids in cylindrical geometry with small perturbation at the material interface. We derive the first order equations in the smooth regions, boundary conditions at the shock fronts and the contact interface by linearizing the Euler equations and Rankine-Hugoniot conditions. The small amplitude solution formulated in this paper will be important for calibration of results from full numerical simulation of compressible fluids in cylindrical geometry.

Keywords

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