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The special relativistic shock tube

Published online by Cambridge University Press:  21 April 2006

Kevin W. Thompson
Kevin W. Thompson
Affiliation:
Space Science Division, NASA Ames Research Center, Moffett Field, CA 94035, USA
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Abstract

The shock-tube problem has served as a popular test for numerical hydrodynamics codes. The development of relativistic hydrodynamics codes has created a need for a similar test problem in relativistic hydrodynamics. The analytical solution to the special relativistic shock-tube problem is presented here. The relativistic shock-jump conditions and rarefaction solution which make up the shock tube are derived. The Newtonian limit of the calculations is given throughout.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 171 , October 1986 , pp. 365 - 375
Copyright
© 1986 Cambridge University Press

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