Geodesic
Calculation of the flow of rarefied gas around a circular cylinder at low Knudsen numbers
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 7, pp. 1304-1320

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A symmetric second-order accurate splitting numerical method for the Boltzmann equation is proposed that is oriented to the examination of gas flow at low Knudsen numbers. The collision integral is linearized about a locally Maxwellian distribution function. Examples of the calculation of two-dimensional nonstationary flows around a circular cylinder are considered. An external macroscopic region is introduced that makes it possible to reduce the region in which the kinetic equation is solved. As a result, self-oscillations of the flow near the cylinder at low Knudsen numbers are examined. 
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     author = {I. N. Larina and V. A. Rykov},
     title = {Calculation of the flow of rarefied gas around a circular cylinder at low {Knudsen} numbers},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1304--1320},
     publisher = {mathdoc},
     volume = {45},
     number = {7},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_7_a13/}
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I. N. Larina; V. A. Rykov. Calculation of the flow of rarefied gas around a circular cylinder at low Knudsen numbers. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 7, pp. 1304-1320. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_7_a13/