The shallow water wave simulating by particle method
Matematičeskoe modelirovanie, Tome 14 (2002) no. 3, pp. 103-116.

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The computational analysis dealing with models of the incompressible fluid flowing into non-deep channels is presented. It is emphasized on a sudden flood wave in channels. There is a comparison of the numerical results obtained with the difference schemes.
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S. V. Bogomolov; E. V. Zakharov; S. V. Zerkal'. The shallow water wave simulating by particle method. Matematičeskoe modelirovanie, Tome 14 (2002) no. 3, pp. 103-116. http://geodesic.mathdoc.fr/item/MM_2002_14_3_a8/

[1] Dzh. Stoker, Volny na vode. Matematicheskaya teoriya i prilozheniya, Izd. inostr. literatury, M., 1959

[2] B. L. Rozhdestvenskii, N. N. Yanenko, Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike, Nauka, M., 1978 | MR | Zbl

[3] M. E. Eglit, Neustanovivshiesya dvizheniya v ruslakh i na sklonakh, Izd-vo MGU, M., 1986

[4] S. V. Bogomolov, A. A. Zamaraeva, Kh. Karabelli, K. V. Kuznetsov, “Konservativnyi metod chastits dlya kvazilineinogo uravneniya perenosa”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 38:9 (1998), 1602–1607 | MR | Zbl

[5] S. V. Bogomolov, K. V. Kuznetsov, “Metod chastits dlya sistemy uravnenii gazovoi dinamiki”, Matem. modelirovanie, 10:7 (1998), 93–100 | MR

[6] J. Burguete, P. Garcia Navarro, “An upwind conservative treatment of source terms in shallow water equations”, Proceedings of ECCOMAS 2000, Barselona, 2000