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Solutions of the Noh problem for various equations of state using LIE groups

Published online by Cambridge University Press:  02 March 2001

ROY A. AXFORD
Affiliation:
Los Alamos National Laboratory, X-HIM, MS-D413, Los Alamos, New Mexico 87545 Present Address: Department of Nuclear Engineering, University of Illinois, 103 S. Goodwin Avenue, Urbana, IL 61801

Abstract

A method for developing invariant equations of state (EOS) for which solutions of the Noh problem will exist is developed. The ideal gas EOS is shown to be a special case of the general method. Explicit solutions of the Noh problem in planar, cylindrical, and spherical geometry are determined for a Mie–Gruneisen and the stiff gas equation of state.

Type
Research Article
Copyright
© 2000 Cambridge University Press

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