Numerical investigation of the motion of molecules in a spherically symmetric gravitational field

A. V. Shcheprov

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 35 (1995) no. 12, pp. 1872-1885

Bibliographie

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

[2] Kogan M. N., “Ob uravneniyakh dvizheniya razrezhennogo gaza”, Prikl. matem. i mekhan., 22:4 (1958), 425–432 | Zbl

[3] Bhatnagar P. L., Gross E. P., Krook M., “A model for cojlision processes in gases”, Phys. Rev., 94 (1954), 511–525 | DOI | Zbl

[4] Shakhov E. M., “O priblizhennykh kineticheskikh uravneniyakh v teorii razrezhennykh sred”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1968, no. 1, 156–161

[5] Shakhov E. M., Metod issledovaniya dvizhenii razrezhennogo gaza, Nauka, M., 1974

[6] Shakhov E. M., “Ustanovivsheesya techenie razrezhennogo gaza ot sfericheskogo istochnika ili stoka”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1971, no. 2, 58–66 | Zbl

[7] Zhuk V. I., “Reshenie kineticheskogo uravneniya dlya gaza v pole tyagoteniya planet”, Dokl. AN SSSR, 233:3 (1977), 325–328 | MR

[8] Zhuk V. I., “Kinetika ispareniya sfericheskoi kapli”, Chisl. metody v dinamike razrezhennykh gazov, 4, VTs AN SSSR, M., 1979, 69–90

[9] Zhuk V. I., Shakhov E. M., “Razlet ploskogo sloya razrezhennogo gaza v vakuum”, Zh. vychisl. matem. i matem. fiz., 13:4 (1973), 984–998

[10] Shakhov E. M., “Chislennye metody resheniya approksimiruyuschikh kineticheskikh uravnenii”, Chisl. metody v dinamike razrezhennykh gazov, 2, VTs AN SSSR, M., 1975, 35–75

[11] Sugimoto H., Sone Y., “Numerical analysis of steady flows of a gas evaporating from its cylindrical condensed phase on the basis of kinetic theory”, Phys. Fluids A, 4:4 (1992), 419–440 | DOI

[12] Sone Y., Sugimoto H., “Kinetic theory analysis of steady evaporating flows from a spherical condensed phase into a vacuum”, Phys. Fluids A, 5:6 (1993), 1491–1511 | DOI | MR | Zbl

[13] Aristov V. V., Cheremisin F. G., “Rasscheplenie neodnorodnogo kineticheskogo operatora uravneniya Boltsmana”, Dokl. AN SSSR, 231:1 (1976), 49–52 | Zbl

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

[15] Aristov V. V., Cheremisin F. G., “Reshenie uravnenii Eilera i Nave–Stoksa na osnove operatornogo rasschepleniya kineticheskogo uravneniya”, Dokl. AN SSSR, 272:3 (1983), 555–559 | MR | Zbl

[16] Cheremisin F. G., “Chislennye metody pryamogo resheniya kineticheskogo uravneniya Boltsmana”, Zh. vychisl. matem. i matem. fiz., 25:12 (1985), 1840–1855 | MR

[17] Aristov V. V., Cheremisin F. G., Reshenie odnomernykh i dvumernykh zadach dlya uravneniya Boltsmana, VTs AN SSSR, M., 1987

[18] Aristov V. V., Cheremisin F. G., Pryamoe chislennoe reshenie kineticheskogo uravneniya Boltsmana, VTs RAN, M., 1992 | MR

[19] Korobov N. M., Teoretiko-chislovye metody v priblizhennom analize, Fizmatgiz, M., 1963 | MR | Zbl

[20] Korobov N. M., Trigonometricheskie summy i ikh prilozheniya, Nauka, M., 1989 | MR | Zbl

[21] Meller N. A., Cheremisin F. G., “Ispytanie razlichnykh strategii metoda Monte-Karlo pri reshenii uravneniya Boltsmana”, Tr. III Vses. konf. po aktualn. probl. vychisl. i prikl. matem. (Novosibirsk, 1990), 111–113

[22] Tcheremissine F. G., “Fast solution of the Boltzmann equation”, Proc. 17-th Internat. Symp. on ROD, ed. A. Beylich, Weinheim, 1991, 273–284

[23] Opik E. J., Singer S. F., “Distribution of density in a planetary exosphere”, Phys. Fluids, 4:2 (1961), 221–233 | DOI | MR

[24] Aamodt R. E., Case K. M., “Density in a simple model of the exosphere”, Phys. Fluids, 5:9 (1962), 1019–1021 | DOI | Zbl

[25] Chamberlain J. W., “Planetary coronae and atmospheric evaporation”, Planetary and Space Sci., 11:8 (1963), 901–960 | DOI

[26] Karleman T., Matematicheskie zadachi kineticheskoi teorii gazov, Izd-vo inostr. lit., M., 1960 | MR

[27] Marchuk G. I., Metody rasschepleniya, Nauka, M., 1988 | MR

[28] Samarskii A. A., Gulin A. V., Chislennye metody, Nauka, M., 1989 | MR