Geodesic
Modeling of wave processes with smoothed particle hydrodynamics method
Matematičeskoe modelirovanie, Tome 21 (2009) no. 7, pp. 20-28.

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Concerned issues in the given article are related to the modeling of wave processes with different variants of the smoothed particle hydrodynamics method and applying this method to the solution of problems of mechanics of the deformed solid body. Results of solution of the problem of disintegration of discontinuity were obtained and comparative analysis was performed. 
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A. P. Potapov; S. I. Royz; I. B. Petrov. Modeling of wave processes with smoothed particle hydrodynamics method. Matematičeskoe modelirovanie, Tome 21 (2009) no. 7, pp. 20-28. http://geodesic.mathdoc.fr/item/MM_2009_21_7_a1/

[1] J. J. Monagan, “An introduction to SPH”, Comput. Phys. Comm., 48 (1988), 89–96 | DOI

[2] Yu. V. Blazhevich, V. D. Ivanov, I. B. Petrov, I. V. Petviashvili, “Modelirovanie vysokoskorostnogo soudareniya metodom gladkikh chastits”, Matematicheskoe modelirovanie, 11:1 (1999), 88–100 | MR

[3] S. V. Bogomolov, D. S. Zvenkov, “Yavnyi metod chastits, nesglazhivayuschii gazodinamicheskie razryvy”, Matematicheskoe modelirovanie, 19:3 (2007), 74–86 | MR | Zbl

[4] A. N. Parshikov, S. A. Medin, I. I. Loukashenko, V. A. Milekhin, “Improvements in SPH method by means of interparticle contact algorithm and analysis of perforation tests at moderate projectile velocities”, International Journal of Impact Engineering, 24 (2000), 779–796 | DOI

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

[6] I. B. Petrov, A. G. Tormasov, A. S. Kholodov, “Ob ispolzovanii gibridizirovannykh setochno-kharakteristicheskikh skhem dlya chislennogo resheniya trekhmernykh zadach dinamiki deformiruemogo tverdogo tela”, ZhVM i MF, 30:8 (1990), 1237–1244 | MR | Zbl

[7] R. P. Fedorenko, “Primenenie raznostnykh skhem vysokogo poryadka tochnosti dlya giperbolicheskikh uravnenii”, ZhVM i MF, 2:6 (1962), 1122–1128 | MR | Zbl

[8] V. Ya. Goldin, N. N. Kalitkin, T. V. Shishova, “Nelineinye raznostnye skhemy dlya giperbolicheskikh uravnenii”, ZhVM i MF, 5:5 (1965), 938–944 | MR

[9] I. B. Petrov, A. S. Kholodov, “O regulyarizatsii razryvnykh chislennykh reshenii uravnenii giperbolicheskogo tipa”, ZhVM i MF, 24:8 (1984), 1172–1188 | MR | Zbl