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Entropy jump across an inviscid shock wave

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Abstract

The Shock jump conditions for the Euler equations in their primitive form are derived by using generalized functions. The shock profiles for specific volume, speed, and pressure and shown to be the same, however, density has a different shock profile. Careful study of the equations that govern the entropy shows that the inviscid entropy profile has a local maximum within the shock layer. We demonstrate that because of this phenomenon, the entropy propagation equation cannot be used as a conservation law.

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Authors and Affiliations

  1. NASA Langley Research Center, Mail Stop 139, 23681-0001, Hampton, VA, USA

    Manuel D. Salas

  2. Dipartimento di Ingegneria Aeronautica e Spaziale, Politecnico di Torino, 10129, Torino, Italy

    Angelo Iollo

Authors
  1. Manuel D. Salas
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  2. Angelo Iollo
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Additional information

Communicated by M.Y. Hussaini

This research was supported in part under NASA Contract No. NAS1-19480, while the second author was in residence at the Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA 23681-0001, U.S.A.

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Salas, M.D., Iollo, A. Entropy jump across an inviscid shock wave. Theoret. Comput. Fluid Dynamics 8, 365–375 (1996). https://doi.org/10.1007/BF00456376

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  • DOI: https://doi.org/10.1007/BF00456376

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