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Different variants of R13 moment equations applied to the shock-wave structure. / Timokhin, M. Y.; Struchtrup, H.; Kokhanchik, A. A. et al.

In: Physics of Fluids, Vol. 29, No. 3, 037105, 01.03.2017.

Research output: Contribution to journal › Article › peer-review

Harvard

Timokhin, MY, Struchtrup, H, Kokhanchik, AA & Bondar, YA 2017, 'Different variants of R13 moment equations applied to the shock-wave structure', Physics of Fluids, vol. 29, no. 3, 037105. https://doi.org/10.1063/1.4977978

APA

Timokhin, 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), [037105]. https://doi.org/10.1063/1.4977978

Vancouver

Timokhin MY, Struchtrup H, Kokhanchik AA, Bondar YA. Different variants of R13 moment equations applied to the shock-wave structure. Physics of Fluids. 2017 Mar 1;29(3):037105. doi: 10.1063/1.4977978

Author

Timokhin, M. Y. ; Struchtrup, H. ; Kokhanchik, A. A. et al. / Different variants of R13 moment equations applied to the shock-wave structure. In: Physics of Fluids. 2017 ; Vol. 29, No. 3.

BibTeX

@article{d9e6ce2c4a09416983f2da9361320219,
title = "Different variants of R13 moment equations applied to the shock-wave structure",
abstract = "Various 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.",
keywords = "RAREFIED-GAS DYNAMICS, 13-MOMENT EQUATIONS, BURNETT EQUATIONS, SIMULATION, MODELS",
author = "Timokhin, {M. Y.} and H. Struchtrup and Kokhanchik, {A. A.} and Bondar, {Y. A.}",
year = "2017",
month = mar,
day = "1",
doi = "10.1063/1.4977978",
language = "English",
volume = "29",
journal = "Physics of Fluids",
issn = "1070-6631",
publisher = "American Institute of Physics",
number = "3",

}

RIS

TY - JOUR

T1 - Different variants of R13 moment equations applied to the shock-wave structure

AU - Timokhin, M. Y.

AU - Struchtrup, H.

AU - Kokhanchik, A. A.

AU - Bondar, Y. A.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - Various 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.

AB - Various 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.

KW - RAREFIED-GAS DYNAMICS

KW - 13-MOMENT EQUATIONS

KW - BURNETT EQUATIONS

KW - SIMULATION

KW - MODELS

UR - http://www.scopus.com/inward/record.url?scp=85015330347&partnerID=8YFLogxK

U2 - 10.1063/1.4977978

DO - 10.1063/1.4977978

M3 - Article

AN - SCOPUS:85015330347

VL - 29

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 3

M1 - 037105

ER -

ID: 10271609