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An iterative Riemann solver for systems of hyperbolic conservation law s, with application to hyperelastic solid mechanics [electronic resource].

Published
Washington, D.C. : United States. Department of Energy. Office of Advanced Scientific Computing Research, 2003.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
vp : digital, PDF file
Additional Creators
Lawrence Berkeley National Laboratory, United States. Department of Energy. Office of Advanced Scientific Computing Research, United States. Department of Energy. Office of Intelligence and National Security. Office of Intelligence, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
In this paper we present a general iterative method for the solution of the Riemann problem for hyperbolic systems of PDEs. The method is based on the multiple shooting method for free boundary value problems. We demonstrate the method by solving one-dimensional Riemann problems for hyperelastic solid mechanics. Even for conditions representative of routine laboratory conditions and military ballistics, dramatic differences are seen between the exact and approximate Riemann solution. The greatest discrepancy arises from misallocation of energy between compressional and thermal modes by the approximate solver, resulting in nonphysical entropy and temperature estimates. Several pathological conditions arise in common practice, and modifications to the method to handle these are discussed. These include points where genuine nonlinearity is lost, degeneracies, and eigenvector deficiencies that occur upon melting.
Report Numbers
E 1.99:lbnl--53795
lbnl--53795
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Note
Published through SciTech Connect.
08/06/2003.
"lbnl--53795"
Journal of Computational Physics 193 1 ISSN 0021-9991; JCTPAH FT
Miller, Gregory H.
Funding Information
AC03-76SF00098
365953
View MARC record | catkey: 14348224