An economical numerical method for one-dimensional problems of radiative gas dynamics

V. V. Svettsov

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 3, pp. 432-445

Bibliographie

[1] Chandrasekhar S., Radiative transfer, Dove, N. Y., 1960 | MR

[2] Vladimirov V. S., “Chislennoe reshenie kineticheskogo uravneniya dlya sfery”, Vychisl. matem., 3, Izd-vo AN SSSR, M., 1958, 3–33

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

[4] Mikhalas D., Zvezdnye atmosfery, Mir, M., 1982

[5] Davison B., Neutron transport theory, Clarendon Press, Oxford, 1957 | MR | Zbl

[6] Cheng P., “Two-dimensional radiating gas flow by a moment method”, AIAA Journal, 2:9 (1964), 1662–1664 | DOI | MR | Zbl

[7] Goldin V. Ya., “Kvazidiffuzionnyi metod resheniya kineticheskogo uravneniya”, Zh. vychisl. matem. i matem. fiz., 4:6 (1964), 1078–1087 | MR

[8] Nikolaishvili Sh. S., “O reshenii odnoskorostnogo uravneniya perenosa s ispolzovaniem priblizheniya Ivona–Mertensa”, Atomnaya energiya, 20:4 (1966), 344

[9] Germogenova T. A., Sushkevich T. A., “Reshenie uravneniya perenosa metodom srednikh potokov”, Vopr. fiz. zaschity reaktorov, 3, Atomizdat, M., 1969, 34–46 | MR

[10] Goldin V. Ya., Danilova G. V., Chetverushkin B. N., “Priblizhennyi metod rascheta nestatsionarnogo kineticheskogo uravneniya”, Vychisl. metody v teorii perenosa, Atomizdat, M., 1969, 50–58

[11] Nemchinov I. V., “Ob osrednennykh uravneniyakh perenosa izlucheniya i ikh ispolzovanii pri reshenii gazodinamicheskikh zadachakh”, Prikl. matem. i mekhan., 34:4 (1970), 706–721

[12] Goldin V. Ya., Chetverushkin B. N., “Metody resheniya odnomernykh zadach radiatsionnoi gazovoi dinamiki”, Zh. vychisl. matem. i matem. fiz., 12:4 (1972), 990–1000 | MR

[13] Filippychev D. S., Chetverushkin B. N., “Ob odnom sposobe osredneniya uravnenii diffuzionnogo tipa po energiyam fotonov”, Zh. vychisl. matem. i matem. fiz., 16:6 (1976), 1601–1605 | MR

[14] Svettsov V. V., “Raschet sfericheski-simmetrichnoi zadachi o vzryve metodom osredneniya uravneniya perenosa”, Dinamika izluchayuschego gaza, 3, VTs AN SSSR, M., 1980, 46–57

[15] Vyskrebentsev A. I., “Metod chislennogo resheniya uravneniya perenosa izlucheniya v odnomernykh zadachakh gazovoi dinamiki”, Zh. vychisl. matem. i matem. fiz., 21:5 (1981), 1206–1214 | MR | Zbl

[16] Golub A. P., “Chislennyi metod resheniya uravnenii perenosa izlucheniya v odnomernykh zadachakh radiatsionnoi gazovoi dinamiki”, Zh. vychisl. matem. i matem. fiz., 23:1 (1983), 142–151 | MR | Zbl

[17] Nemchinov I. V., Svettsov V. V., Shuvalov V. V., “Reshenie zadachi o rasprostranenii silnykh intensivno izluchayuschikh udarnykh voln v vozdukhe metodom osredneniya uravnenii perenosa izlucheniya”, Nizkotemperaturnaya plazma v kosmose i na Zemle, VAGO, M., 1977, 47–89

[18] Pomraning G. C., The equations of radiation hydrodynamics, Pergamon Press, N. Y., 1973

[19] Schuster A., “Radiation through a foggy atmosphere”, Astrophys. J., 21 (1905), 1–22 | DOI

[20] Schwarzschild K., “Equilibrium of the Sun's atmosphere”, Gesell. Wiss. Göttingen, Nachr., Math.-Phys. Klasse, 1 (1906), 41–53

[21] Zinn J., “A finite difference scheme for time-dependent spherical radiation hydrodynamics problems”, J. Comput. Phys., 13:4 (1973), 569–590 | DOI | Zbl

[22] Zinn J., Anderson R. C., “Structure and luminosity of strong shock waves in air”, Phys. Fluids, 16:10 (1973), 1639–1644 | DOI | Zbl

[23] Charakhchyan A. A., “Raschet nestatsionarnykh sfericheski simmetrichnykh techenii izluchayuschego serogo gaza”, Dinamika izluchayuschego gaza, 1, VTs AN SSSR, M., 1974, 54–74

[24] Nemchinov I. V., Svettsov V. V., “Raschet razvitiya lazernogo vzryva v vozdukhe s uchetom izlucheniya”, Zh. prikl. mekhan. i tekhn. fiz., 1977, no. 4, 24–32

[25] Kosarev I. B., Loseva T. V., Svettsov V. V., “Razvitie poluprozrachnykh plazmennykh obrazovanii pod deistviem lazera”, Kvantovaya elektronika, 17:5 (1990), 609–614

[26] Nemchinov I. V., Svetsov V. V., “Global consequences of radiation impulse caused by comet impact”, Advances Space Res., 11:6 (1991), (6)95–(6)97 | DOI | MR

[27] Bergelson V. I., Loseva T. V., Nemchinov I. V., “Chislennyi raschet zadachi o rasprostranenii po gazu navstrechu potoku svetovogo izlucheniya ploskoi dozvukovoi radiatsionnoi volny”, Zh. prikl. mekhan. i tekhn. fiz., 1974, no. 4, 22–34

[28] Samarskii A. A., Popov Yu. P., Raznostnye skhemy gazovoi dinamiki, Nauka, M., 1975 | MR

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

[30] Shmyglevskii Yu. D., “Momentnyi metod rascheta perenosa selektivnogo izlucheniya”, Dinamika izluchayuschego gaza, 2, VTs AN SSSR, M., 1976, 42–60

[31] Krivtsov V. M., “O raschete selektivnogo izlucheniya”, Dinamika izluchayuschego gaza, 2, VTs AN SSSR, M., 1976, 36–41

[32] Shmyglevskii Yu. D., “Variant momentnogo metoda rascheta perenosa selektivnogo izlucheniya”, Zh. vychisl. matem. i matem. fiz., 17:3 (1977), 785–790 | MR

[33] Avilova I. V., Biberman L. M., Vorobev V. S. i dr., Opticheskie svoistva goryachego vozdukha, Nauka, M., 1970

[34] Kobzev G. A., Nuzhnyi V. A., Spektralnye i integralnye kharakteristiki nepreryvnogo spektra vozdushnoi plazmy pri vysokikh temperaturakh, Preprint No 1-131, MVT AN SSSR, M., 1984

[35] Kobzev G. A., Nuzhnyi V. A., Opticheskie svoistva vozdushnoi plazmy s uchetom spektralnykh linii. T-20 000-30 000 K, Preprint No 1-134, IVTAN SSSR, M., 1984

[36] Sempson D., Uravneniya perenosa energii i kolichestva dvizheniya v gazakh s uchetom izlucheniya, Mir, M., 1969

[37] Nemchinov I. V., Svettsov V. V., Shuvalov V. V., “Struktura i yarkost nestatsionarnykh sverkhkriticheskikh udarnykh voln v vozdukhe ponizhennoi plotnosti”, Zh. prikl. mekhan. i tekhn. fiz., 1989, no. 1, 35–41

[38] Korobeinikov V. P., Chushkin P. I., Shurshalov L. V., “Kompleksnoe modelirovanie poleta i vzryva v atmosfere meteornogo tela”, Astronomich. vestnik, 25:3 (1991), 327–343

[39] Chyba C. F., Thomas P. G., Zahnle K. J., “The 1908 Tunguska explosion: atmospheric disruption of a stony asteroid”, Nature, 361:6407 (1993), 40–44 | DOI

[40] Jones E. M., Sandford M. T., “Numerical simulation of a very lagre explosion at the earth's surface with possible applications to tektites”, Impact and Explosion Cratering, Pergamon Press, N. Y., 1977, 1009–1024

[41] Kuznetsov H. M., Termodinamicheskie funktsii i udarnye adiabaty vozdukha pri vysokikh temperaturakh, Mashinostr., M., 1965

[42] Carrier G. F., Moran W., Birks J. et al., The effects on the atmosphere of a major nuclear exchange, Nat. Acad. Press, Washington, 1985 | Zbl

[43] Özisik M. N., Menning J., Hälg W., “Half-range moment method for solution of the transport equation in a spherically symmetric geometry”, J. Quant. Spectroscopy and Radiat. Trans., 15:12 (1975), 1101–1106 | DOI | MR