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Solution of the Riemann problem for irreversibly compressible media

โœ Scribed by V. R. Feldgun; Y. S. Karinski; D. Z. Yankelevsky

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
546 KB
Volume
80
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

Abstract

The Riemann problem for an irreversibly compressible medium has been solved. This solution introduces the maximum medium density that is attained in the process of active loading. To close the system of equations an extra equation is required to describe the transfer of this parameter through the Eulerian mesh. The possible wave configurations have been analyzed and the corresponding equations for the evaluation of the contact pressure and velocity have been obtained. The existence and uniqueness of the solution have been proven. The technique of the Riemann problem's solution for the arbitrary Lagrange Euler mesh was developed. Examples of the Riemann problem solution for various wave configurations show that neglecting the bulk elastic plastic deformations yields significant errors in the results both quantitatively and qualitatively. Copyright ยฉ 2009 John Wiley & Sons, Ltd.

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