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Calculation of intense self-similar anisotropic explosions

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Abstract

This paper discusses intense explosions with cylindrical or plane symmetry in a perfect inviscid gas at rest. The energy is added by a power law of time, which leads to self-similarity. The system of partial differential equations with two variables is expressed in intrinsic coordinates as a function of a Lagrangian variable and the curvilinear abscissa on the paths. An original computation method solves two equations on a dual characteristic of the problem and the other two by a Telenin method. The computations on a test case show that the method is very fast and is suitable for cases where no internal shock appears in the flow.

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This article was processed using Springer-Verlag TEX Shock Waves macro package 1.0 and the AMS fonts, developed by the American Mathematical Society.

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Merlen, A., Fabre, E. Calculation of intense self-similar anisotropic explosions. Shock Waves 3, 113–128 (1993). https://doi.org/10.1007/BF02115891

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  • DOI: https://doi.org/10.1007/BF02115891

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