Calculation of steady-state three-dimensional flows of viscous gases and chemically reacting gas mixtures

A. E. Kuznetsov   ; M. Kh. Strelets   ; M. L. Shur

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 2, pp. 300-316

Bibliographie

[1] McDonald H., “Combustion modeling in two and three dimensions — some numerical considerations”, Progr. Energy Combust. Sci., 5 (1979), 97–122 | DOI

[2] Oran E. S., Boris J. P., “Detailed modeling of combustion systems”, Progr. Energy Combust. Sci., 7 (1981), 1–72 | DOI

[3] Lapin Yu. V., Nekhamkina O. A., Pospelov V. A. i dr., “Chislennoe modelirovanie vnutrennikh techenii vyazkikh khimicheski reagiruyuschikh gazovykh smesei”, Itogi nauki i tekhn. Ser. Mekhan. zhidkosti i gaza, 19, VINITI, 1985, 86–185

[4] Makhviladze G. M., Scherbak S. B., “Chislennyi metod issledovaniya nestatsionarnykh dvizhenii szhimaemogo gaza”, Inzh.-fiz. zh., 38:3 (1980), 528–537 | MR

[5] Briley W. R., McDonald H., Shamroth J. P., “A low Mach number Euler formulation and application to time-iterative LBI schemes”, AIAA Journal, 21:10 (1983), 1467–1469 | DOI

[6] Turkel E., “Fast solution of the steady state compressible and incompressible fluid dynamic equations”, Lect. Notes Phys., 218, 1985, 571–575 | Zbl

[7] Choi D., Merkle C. L., “Application of time-iterative schemes to incompressible flows”, AIAA Journal, 23:10 (1985), 1518–1524 | DOI | MR | Zbl

[8] Merkl Ch. L., Choi I.-Kh., “Chislennyi raschet medlennykh techenii s podvodom tepla”, Aerokosmich. tekhn., 1988, no. 1, 11–20

[9] Strelets M. X., Shur M. L., “Metod masshtabirovaniya szhimaemosti dlya rascheta statsionarnykh techenii vyazkogo gaza pri proizvolnykh chislakh Makha”, Zh. vychisl. matem. i matem. fiz., 28:2 (1988), 254–266 | MR | Zbl

[10] Vladimirova N. N., Kuznetsov B. G., Yanenko N. N., “Chislennye raschety simmetrichnogo obtekaniya plastinki potokom vyazkoi neszhimaemoi zhidkosti”, Nekotorye vopr. vychisl. i prikl. matem., Nauka, Novosibirsk, 1966, 186–192

[11] Chorin A. J., “A numerical method for solving incompressible viscous flow problems”, J. Comput. Phys., 2:1 (1967), 12–26 | DOI | Zbl

[12] Egorov Yu. E., Shur M. L., “Metod masshtabirovaniya szhimaemosti dlya rascheta protsessov teplo- i massoobmena v statsionarnykh potokakh vyazkikh khimicheski reagiruyuschikh gazovykh smesei pri proizvolnykh znacheniyakh chisla Makha”, Teplomassoobmen-MMF, 9, ITMO AN BSSR, Minsk, 1988, 85–87

[13] Lapin Yu. V., Turbulentnyi pogranichnyi sloi v sverkhzvukovykh potokakh gaza, Nauka, M., 1982

[14] Ginzburg I. P., Trenie i teploperedacha pri techenii smesi gazov, Izd-vo LGU, L., 1975

[15] Lapin Yu. V., Strelets M. X., Shur M. L., “Raschet vzaimodeistviya sverkhzvukovykh strui pri nalichii khimicheskikh reaktsii, kolebatelnoi relaksatsii i kogerentnogo izlucheniya na osnove resheniya polnoi sistemy uravnenii Nave-Stoksa”, Chisl. metody mekhan. sploshnoi sredy, 13, no. 2, VTs SO AN SSSR, Novosibirsk, 1982, 107–124

[16] Peire R., Teilor T. D., Vychislitelnye metody v zadachakh mekhaniki zhidkosti, Gidrometeoizdat, L., 1986 | MR

[17] Hindman R. S., “Generalized coordinate forms of governing fluid equations and associated geometrically induced errors”, AIAA Journal, 20:10 (1982), 1359–1367 | DOI | Zbl

[18] Kovenya V. M., Yanenko N. N., Metod rasschepleniya v zadachakh gazovoi dinamiki, Nauka, Novosibirsk, 1981 | MR | Zbl

[19] Yanenko N. N., Metod drobnykh shagov resheniya mnogomernykh zadach matematicheskoi fiziki, Nauka, Novosibirsk, 1967

[20] Strelets M. X., “O chislennom modelirovanii suschestvenno dozvukovykh techenii gazov i gazovykh smesei pri nalichii znachitelnykh izmenenii plotnosti”, Dinamika neodnorodnykh i szhimaemykh sred, Izd-vo LGU, L., 1984, 70–83

[21] Kuznetsov A. E., “Dvukhshagovaya skhema rasschepleniya dlya rascheta statsionarnykh dozvukovykh techenii odnorodnogo vyazkogo gaza v kanalakh”, Chisl. metody mekhan. sploshnoi sredy, 17, no. 3, VTs SO AN SSSR, Novosibirsk, 1986, 99–107

[22] Koleshko S. B., “Raznostnaya skhema dlya resheniya uravnenii statsionarnykh techenii v vyazkoi zhidkosti”, Chisl. metody mekhan. sploshnoi sredy, 10, no. 3, VTs SO AN SSSR, Novosibirsk, 1979, 100–104

[23] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Nauka, M., 1987 | MR

[24] Goldstin, Kreid, “Primenenie lazera dlya issledovaniya laminarnogo techeniya v kvadratnom kanale s ispolzovaniem effekta Dopplera”, Prikl. mekhan., 1967, no. 4, 88–95

[25] Byrkin A. P., “Avtomodelnye techeniya vyazkogo gaza v kanalakh s teplo- i massoobmenom na stenke”, Uch. zap. TsAGI, 7:2 (1976), 25–36

[26] Durst F., Melling A., Whitelaw J. H., “Low Reynolds number flow over a plane symmetric sudden expansion”, J. Fluid Mech., 64:1 (1974), 111–128 | DOI

[27] Aslanov T. D., Byrkin A. P., Schennikov V. V., “Chislennyi raschet vnutrennikh techenii vyazkogo gaza s ispolzovaniem uravneniya Nave-Stoksa”, Uch. zap. TsAGI, 12:3 (1981), 44–54

[28] Kuznetsov A. E., Nekhamkina O. A., Strelets M. X., “O chislennom modelirovanii gidrodinamiki i teploobmena pri dozvukovykh statsionarnykh techeniyakh vyazkogo gaza v kanalakh”, Teplomassoobmen-VII, v. 1, ch. 1, ITMO AN BSSR, Minsk, 1984, 111–115

[29] Byrkin A. P., Tolstykh A. I., “Kompaktnye skhemy tretego i chetvertogo poryadkov v zadachakh o vnutrennikh techeniyakh vyazkogo i nevyazkogo gazov”, Zh. vychisl. matem. i matem. fiz., 28:8 (1988), 1234–1251 | MR | Zbl

[30] V. B. Nesterenko (red.), Fiziko-tekhnicheskie i teplofizicheskie svoistva khimicheski reagiruyuschei sistemy $\mathrm{N}_2\mathrm{O}_4\rightleftharpoons2\mathrm{NO}_2\rightleftharpoons2\mathrm{NO}+\mathrm{O}_2$, Nauka i tekhn., Minsk, 1976