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@article{SJIM_2003_6_4_a7, author = {A. A. Raines}, title = {Numerical solution of the problem of the leakage of a~rarefied gas onto a~wall}, journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki}, pages = {82--93}, publisher = {mathdoc}, volume = {6}, number = {4}, year = {2003}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SJIM_2003_6_4_a7/} }
TY - JOUR AU - A. A. Raines TI - Numerical solution of the problem of the leakage of a~rarefied gas onto a~wall JO - Sibirskij žurnal industrialʹnoj matematiki PY - 2003 SP - 82 EP - 93 VL - 6 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJIM_2003_6_4_a7/ LA - ru ID - SJIM_2003_6_4_a7 ER -
A. A. Raines. Numerical solution of the problem of the leakage of a~rarefied gas onto a~wall. Sibirskij žurnal industrialʹnoj matematiki, Tome 6 (2003) no. 4, pp. 82-93. http://geodesic.mathdoc.fr/item/SJIM_2003_6_4_a7/
[1] Kosuge S., Aoki K., Takata S., “Shock wave structure for a binary gas mixture: finite-difference analysis of the Boltzmann equation for hard-spheremolecules”, European J. Mech. B. Fluids, 20:1 (2001), 87–126 | DOI | Zbl
[2] Ohvada T., “Structure of normal shock waves. Direct numerical analysis of the Boltzmann equation for hard sphere molecules”, Phys. Fluids A, A5 (1993), 217–234 | MR
[3] Nordsieck A., Hicks B. L., “Monte-Carlo evaluation of the Boltzmann collision integral”, Rarefied Gas Dynamics, Plenum Press, New York; London, 1967, 695–710
[4] Aristov V. V., Cheremisin F. G., “Konservativnyi metod rasschepleniya dlya resheniya uravneniya Boltsmana”, Zhurn. vychisl. matematiki i mat. fiziki, 20:1 (1980), 191–207 | MR | Zbl
[5] Rogier F., Schneider J. A., “Direct method for solving the Boltzmann equation”, Transport Theory Statist. Phys, 23:1,3 (1994), 313–338 | DOI | MR | Zbl
[6] Buet C., “Conservative and entropy schemes for the Boltzmann collision operator of polyatomic gases”, Math. Methods Appl. Sci., 7 (1997), 165–175 | DOI | MR
[7] Oguchi H., Hatakeyama M., Honma H., “Computational aspects of discrete-ordinate-velocity description of rarefied gases”, Proc. 19 Internat. Symp. RGD, V. 2, Oxford, 1995, 815–821
[8] Cheremisin F. G., “Konservativnyi metod vychisleniya integrala stolknovenii Boltsmana”, Dokl. RAN, 357:1 (1997), 53–56 | MR
[9] Raines A. A., “Metod resheniya uravneniya Boltsmana dlya smesi gazov v sluchae tsilindricheskoi simmetrii v prostranstve skorostei”, Zhurn. vychisl. matematiki i mat. fiziki, 42:8 (2002), 1258–1269 | MR | Zbl
[10] Harnett L. N., Muntz E. P., “Experimental investigation of normal shock wave velocity distribution functions in mixtures of argon and helium”, Phys. Fluids, 15:4 (1972), 565–572 | DOI
[11] Raines A. A., “Study of a shock wave structure in gas mixtures on the basis of the Boltzman equation”, European. J. Mech. B. Fluids, 21 (2002), 599–610 | DOI | MR | Zbl
[12] Raines A. A., “Chislennoe issledovanie temperaturnykh makroparametrov v udarnoi volne v binarnoi smesi gazov na baze kineticheskogo uravneniya Boltsmana”, Izv. RAN. Mekhanika zhidkosti i gaza, 2003, no. 1, 154–165 | MR | Zbl
[13] Aristov V. V., Cheremisin F. G., “Konservativnaya raznostnaya skhema diskretnykh ordinat dlya resheniya kineticheskikh uravnenii metodom rasschepleniya”, Pryamoe chislennoe modelirovanie techenii gaza, VTs AN SSSR, M., 1978, 164–171
[14] Kudish I. V., Rykov V. A., “Otrazhenie udarnoi volny ot stenki”, Zhurn. vychisl. matematiki i mat. fiziki, 13:5 (1973), 1288–1297 | Zbl
[15] Boris J. P., Book D. L., “Flux-corected transport. 1: Shasta, a fluid transport algorithm that works”, J. Comput. Phys., 11:1 (1973), 38–69 | DOI | Zbl
[16] Cheremisin F. G., “Reshenie uravneniya Boltsmana pri perekhode k gidrodinamicheskomu rezhimu techeniya”, Dokl. RAN, 373:4 (2000), 483–486 | MR
[17] Korobov N. M., Trigonometricheskie summy i ikh prilozheniya, Nauka, M., 1989 | MR | Zbl