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.


Model Equation Field Equation Euler Equation Main Property Riemann Problem 
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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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