Geodesic
Explicit particle method, non-smoothing gas-dynamic
Matematičeskoe modelirovanie, Tome 19 (2007) no. 3, pp. 74-86.

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A variant of an explicit particle method for 1-D gas-dynamic problems is considered. The results of computations are compared to finite-diference results. 
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S. V. Bogomolov; D. S. Zvenkov. Explicit particle method, non-smoothing gas-dynamic. Matematičeskoe modelirovanie, Tome 19 (2007) no. 3, pp. 74-86. http://geodesic.mathdoc.fr/item/MM_2007_19_3_a5/

[1] A. A. Arsenev, Lektsii o kineticheskikh uravneniyakh, Nauka, M., 1992 | MR

[2] O. A. Oleinik, “O zadache Koshi dlya nelineinykh uravnenii v klasse razryvnykh funktsii”, DAN SSSR, 99:3 (1954), 451 | MR

[3] S. N. Kruzhkov, “Obobschenie resheniya zadachi Koshi v tselom dlya nelineinykh uravnenii pervogo poryadka”, DAN SSSR, 187:1 (1969), 29 | Zbl

[4] N. N. Kuznetsov, “Slabye resheniya kvazilineinykh uravnenii pervogo poryadka i chislennye metody ikh rascheta”, Mathem. Models and Numerical Methods, Banach center publications, 3, PWN-Polish Scientific Publishers, Warsawa, 1978 | Zbl

[5] W. Braun, K. Hepp, “The Vlasov dynamics and its fluctuations in the $l/N$ limit of interacting classical particles”, CMP, 56 (1977), 101 | DOI | MR | Zbl

[6] R. L. Dobrushin, “Uravneniya Vlasova”, Funktsion. analiz i ego pril., 13:2 (1979), 48 | MR | Zbl

[7] S. V. Bogomolov, “K obosnovaniyu nesglazhivayuschego metoda chastits”, Matematicheskoe modelirovanie, 16:7 (2004), 92 | MR | Zbl

[8] B. L. Rozhdestvenskii, N. N. Yanenko, Sistemy kvazilineinykh uravnenii, Nauka, M., 1978 | MR | Zbl

[9] F. K. Kharlou, “Chislennyi metod chastits v yacheikakh dlya zadach gidrodinamiki”, Vychislitelnye metody v gidrodinamike, Mir, M., 1967

[10] A. G. Kulikovskii, N. V. Pogorelov, A. Yu. Semenov, Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Fizmatlit, M., 2001 | MR | Zbl

[11] B. N. Chetverushkin, Kineticheski soglasovannye skhemy v gazovoi dinamike, Izd-vo MGU, M., 1999

[12] O. M. Belotserkovskii, Yu. M. Davydov, Metod krupnykh chastits v gazovoi dinamike, Nauka, M., 1982

[13] S. V. Bogomolov, “Metod chastits dlya uravneniya Byurgersa”, Matematicheskoe modelirovanie, 3:12 (1991), 115 | MR

[14] S. V. Bogomolov, “Metod chastits s vesami dlya uravneniya Byurgersa”, Matematicheskoe modelirovanie, 6:5 (1994), 77 | MR | Zbl

[15] S. V. Bogomolov, A. A. Zamaraeva, Kh. Karabelli, K. V. Kuznetsov, “Konservativnyi metod chastits dlya kvazilineinogo uravneniya perenosa”, Zhurnal vychisl. matem. i matem. fiziki, 38:9 (1998), 1602 | MR | Zbl

[16] S. V. Bogomolov, K. V. Kuznetsov, “Metod chastits dlya sistemy uravnenii gazovoi dinamiki”, Matematicheskoe modelirovanie, 10:7 (1998), 93 | MR

[17] S. V. Bogomolov, E. V. Zakharov, S. V. Zerkal, “Modelirovanie voln na melkoi vode metodom chastits”, Matematicheskoe modelirovanie, 14:3 (2002), 103 | MR | Zbl

[18] S. V. Bogomolov, “Metod chastits. Neszhimaemaya zhidkost”, Matematicheskoe modelirovanie, 15:1 (2003), 46 | MR | Zbl

[19] S. V. Zerkal, E. V. Zakharov, S. V. Bogomolov, “Modelirovanie dvizheniya potokov razlichnoi prirody po naklonnoi poverkhnosti metodom chastits”, Visnik Kharkivskogo natsionalnogo universitetu. Seriya Matem. modelyuv. Inform. tekhn. Avtomat. sistemi upravlinnya, 2003, no. 590, 114

[20] Bogomolov S. V., “An entropy consistent particle method for Navier–Stokes equations”, Proc. IV European Congress on Computational Methods in Applied Sciences and Engineering, Book of abstracts (Finland: ECCOMAS 2004), 2004, 322