Geodesic
Two methods for solving the problem of heat transfer in a rarefied gas
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 623-626 
V. V. Aristov; M. S. Ivanov; F. G. Cheremisin. Two methods for solving the problem of heat transfer in a rarefied gas. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 623-626. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a14/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of stationary one-dimensional heat flow between parallel flat surfaces in a rarefied gas is solved using two independent numerical methods: the finite difference method of direct solution of the Boltzmann equation and the method of direct statistical simulation. By comparing the results, the accuracy of the methods is established and the algorithms for solving the problem are verified. The features of the flow are investigated for a wide range of Knudsen numbers.

[1] Kogan M. N., Dinamika razrezhennogo gaza, Nauka, M., 1967

[2] Cheremisin F. G., “Reshenie kineticheskogo uravneniya Boltsmana v zadache o teploperedache mezhdu parallelnymi beskonechnymi stenkami v razrezhennom gaze”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1970, no. 5, 190–193

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[4] Aristov V. V., Cheremisin F. T., “Konservativnyi metod rasschepleniya dlya resheniya uravneniya Boltsmana”, Zh. vychisl. matem. i matem. fiz., 20:1 (1980), 191–207 | MR | Zbl

[5] Ivanov M. S., Rogazinskii S. V., “Sravnitelnyi analiz algoritmov metoda pryamogo statisticheskogo modelirovaniya v dinamike razrezhennogo gaza”, Zh. vychisl. matem. i matem. fiz., 28:7 (1988), 1058–1070 | MR | Zbl

[6] Aristov V. V., Cheremisin F.Ṫ., “Reshenie odnomernykh i dvumernykh zadach dlya uravneniya Boltsmana”, Soobsch. po prikl. matem., VTs AN SSSR, M., 1987