The Analysis of Different Variants of R13 Equations Applied to the Shock-Wave Structure

Date

2016

Authors

Timokhin, M. Yu
Struchtrup, Henning
Kokhanchik, A. A.
Bondar, Ye. A.

Journal Title

Journal ISSN

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Publisher

AIP Conference Proceedings

Abstract

This paper studies the applicability of various versions of the regularized 13-moment system (R13) as applied to the problem of the shock wave structure in a monatomic Maxwell gas in a wide range of Mach numbers (1.0<M<8.0). Over time, several versions of the R13 equations were presented, which differ in non-linear contributions for high-order moments. The challenge of this study is to determine the range of applicability of each variant of the moment equations as applied to non-equilibrium supersonic flows, depending on the Mach number and local Knudsen number. Numerical results obtained for the R13 system are compared to DSMC data computed by the SMILE++ software system.

Description

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Citation

AIP Conf. Proc. 1786, 140006 (2016)