Summary
A thermodynamically consistent form for the finite-volume numerical algorithm for thermoelastic wave and front propagation is proposed in the paper. Such reformulation provides applicability of the Godunov type numerical schemes based on averages of field variables to the description of non-equilibrium situations. The non-equilibrium description uses contact quantities instead of numerical fluxes. These quantities satisfy the thermodynamic consistency conditions which generalize the classical equilibrium conditions.
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Berezovski, A., Engelbrecht, J., Maugin, G.A. (2003). Numerical Simulation of Thermoelastic Wave and Phase-Transition Front Propagation. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_123
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DOI: https://doi.org/10.1007/978-3-642-55856-6_123
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