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Continuum Mechanics and Thermodynamics

, Volume 12, Issue 5, pp 289–301 | Cite as

Characteristic waves and dissipation in the 13-moment-case

  • M. Torrilhon
Original Articles

Extended thermodynamics derives dissipative, hyperbolic field equations for monatomic gases. One example is the system of the 13-field-case, which is a dissipative extension of the Euler equations. In this paper the system is investigated by solving a Riemann problem. Additionally some model equations are introduced so as to discuss the main properties in a transparent manner. There arises an interesting interplay of the characteristic waves and the dissipation in the system. For the 13-field-case it turns out that not every Riemann problem has a solution, because of the loss of hyperbolicity of the system.

Keywords

Model Equation Field Equation Euler Equation Main Property Riemann Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • M. Torrilhon
    • 1
  1. 1.Institut für Verfahrenstechnik, TU Berlin, Fasanenstrasse 90, 10623 Berlin, Germany DE

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