Computation of a shock wave structure in monatomic gas with accuracy control
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 1008-1026
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The structure of a shock wave in a monatomic one-component gas was computed by solving the Boltzmann kinetic equation with accuracy controlled with respect to computational parameters. The hard-sphere molecular model and molecules with the Lennard-Jones potential were considered. The computations were performed in a wide range of Mach numbers with the accuracy no less than 3% for the shock front width and 1% for local values of density and temperature. The shock wave structure was studied in terms of macroscopic gas characteristics and in terms of the molecular velocity distribution function.
@article{ZVMMF_2013_53_6_a13,
author = {O. I. Dodulad and F. G. Tcheremissine},
title = {Computation of a shock wave structure in monatomic gas with accuracy control},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1008--1026},
publisher = {mathdoc},
volume = {53},
number = {6},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a13/}
}
TY - JOUR AU - O. I. Dodulad AU - F. G. Tcheremissine TI - Computation of a shock wave structure in monatomic gas with accuracy control JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2013 SP - 1008 EP - 1026 VL - 53 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a13/ LA - ru ID - ZVMMF_2013_53_6_a13 ER -
%0 Journal Article %A O. I. Dodulad %A F. G. Tcheremissine %T Computation of a shock wave structure in monatomic gas with accuracy control %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2013 %P 1008-1026 %V 53 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a13/ %G ru %F ZVMMF_2013_53_6_a13
O. I. Dodulad; F. G. Tcheremissine. Computation of a shock wave structure in monatomic gas with accuracy control. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 1008-1026. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a13/