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Different variants of R13 moment equations applied to the shock-wave structure. / Timokhin, M. Y.; Struchtrup, H.; Kokhanchik, A. A. и др.
в: Physics of Fluids, Том 29, № 3, 037105, 01.03.2017.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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