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

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dc.contributor.authorTimokhin, Maksim
dc.contributor.authorStruchtrup, Henning
dc.contributor.authorKokhanchik, A.A.
dc.contributor.authorBondar, Yevgeniy
dc.date.accessioned2017-07-19T04:54:48Z
dc.date.copyright2017en_US
dc.date.issued2017
dc.description.abstractVarious versions of the regularized 13-moment system (R13) are applied to the problem of the shock wave structure in a monatomic Maxwell gas for Mach numbers up to M = 10. Numerical solutions are compared to direct simulation Monte Carlo results computed by the SMILE++ software system, in order to identify applicability and limitations of the variants. Over time, several versions of the R13 equations were presented, which differ in non-linear contributions for high-order moments but agree in asymptotic expansion to the third order in the Knudsen number. All variants describe typical subsonic microflows well, for which the non-linear contributions only play a minor role. The challenge of the present study is to determine the real boundaries 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.en_US
dc.description.embargo2018-03-01
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipNserc Discovery Granten_US
dc.identifier.citationTimokhin, M. Y., Struchtrup, H., Kokhanchik, A. A., & Bondar, Y. A. (2017). Different variants of R13 moment equations applied to the shock-wave structure. Physics of Fluids, 29(3). https://doi.org/10.1063/1.4977978en_US
dc.identifier.urihttp://hdl.handle.net/1828/8363
dc.identifier.urihttps://doi.org/10.1063/1.4977978
dc.language.isoenen_US
dc.publisherPhysics of Fluidsen_US
dc.titleDifferent Variants of R13 Moment Equations Applied to the Shock-Wave Structureen_US
dc.typeArticleen_US

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