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Erschienen in: Continuum Mechanics and Thermodynamics 1/2021

19.05.2020 | Original Article

Shock structure in extended thermodynamics with second-order maximum entropy principle closure

verfasst von: Andrea Mentrelli, Tommaso Ruggeri

Erschienen in: Continuum Mechanics and Thermodynamics | Ausgabe 1/2021

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Abstract

An investigation on the features of the shock structure solution of the 13-moment system of extended thermodynamics with a second-order closure based on the maximum entropy principle is presented. The results are compared to those obtained by means of the traditional first-order closure and to those obtained in the framework of kinetic theory by solving the Boltzmann equation with a BGK model for the collision term. It is seen that when adopting a second-order closure, the strength of the subshock that appears in the shock structure profile for large enough Mach numbers is remarkably reduced with respect to what is found with the first-order closure, and the overall profile of the shock structure solution is in better agreement with the results obtained with the kinetic theory approach. The analysis is extended to the case of the 14-moment system of a polyatomic gas, and some preliminary results are presented also for this case.

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Fußnoten
1
For \(\hbox {N}_2\) gas, the relaxation time \(\tau _{\varPi }\) is several orders of magnitude larger than \(\tau _{\sigma }\) and \(\tau _{q}\).
 
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Metadaten
Titel
Shock structure in extended thermodynamics with second-order maximum entropy principle closure
verfasst von
Andrea Mentrelli
Tommaso Ruggeri
Publikationsdatum
19.05.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Continuum Mechanics and Thermodynamics / Ausgabe 1/2021
Print ISSN: 0935-1175
Elektronische ISSN: 1432-0959
DOI
https://doi.org/10.1007/s00161-020-00892-2

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