Geodesic
The analysis of some modifications of the large-particle method on the basis of research of gas-suspension currents
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 3, pp. 71-77 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the paper new modifications of a large-particle method are given in the appendix to the analysis of gas-suspension currents. It is shown that given modifications allow us to carry out calculations of shock waves behavior in gas-suspensions without introduction explicit artificial viscosity which helps to avoid distortion of a physical phenomenon of gas-suspension current connected with the existence of oscillation. It is shown that given modifications of the large particle method are effective and help to carry out calculations of strong shock waves in gas-suspensions.
Keywords: numerical method; mathematical model; gas-suspension; conservation laws; shock waves; Courant number. 
@article{VYURM_2015_7_3_a10,
     author = {Yu. M. Kovalev and E. A. Kovaleva and E. E. Pigasov},
     title = {The analysis of some modifications of the large-particle method on the basis of research of gas-suspension currents},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {71--77},
     year = {2015},
     volume = {7},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2015_7_3_a10/}
}
TY  - JOUR
AU  - Yu. M. Kovalev
AU  - E. A. Kovaleva
AU  - E. E. Pigasov
TI  - The analysis of some modifications of the large-particle method on the basis of research of gas-suspension currents
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika
PY  - 2015
SP  - 71
EP  - 77
VL  - 7
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VYURM_2015_7_3_a10/
LA  - ru
ID  - VYURM_2015_7_3_a10
ER  - 
%0 Journal Article
%A Yu. M. Kovalev
%A E. A. Kovaleva
%A E. E. Pigasov
%T The analysis of some modifications of the large-particle method on the basis of research of gas-suspension currents
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika
%D 2015
%P 71-77
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/VYURM_2015_7_3_a10/
%G ru
%F VYURM_2015_7_3_a10
Yu. M. Kovalev; E. A. Kovaleva; E. E. Pigasov. The analysis of some modifications of the large-particle method on the basis of research of gas-suspension currents. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 3, pp. 71-77. http://geodesic.mathdoc.fr/item/VYURM_2015_7_3_a10/

[1] Kuropatenko V. F., “New models of continuum mechanics”, Journal of Engineering Physics and Thermophysics, 84:1 (2011), 77–99 | Zbl

[2] Grishin A. M., Kovalev Yu. M., Doklady Akademii nauk, 312:1 (1990), 50–54 (in Russ.) | Zbl

[3] Kovalev Yu. M., Pigasov E. E., “A Mathematical Model of Gas Suspension with Chemical Reactions in the Pair-Interaction Approximation”, Bulletin of South Ural State University. Series “Mathematical Modelling, Programming Computer Software”, 7:3 (2014), 40–49 (in Russ.) | DOI | MR | Zbl

[4] Kovalev Yu. M., Kovaleva E. A., “A Mathematical Study of the Conservation Equation for Two-Phase Mixtures”, Bulletin of South Ural State University. Series “Mathematical Modelling, Programming Computer Software”, 7:2 (2014), 29–37 (in Russ.) | DOI

[5] Kovalev Yu. M., Kovaleva E. A., “The Analysis of some Numerical Methods Application for the Solution of Multicomponent Mediamechanics Tasks”, Bulletin of South Ural State University. Series “Computer Technologies, Automatic Control Radioelectronics”, 14:1 (2014), 57–62 (in Russ.) | Zbl

[6] Belotserkovskiy O. M., Davydov Yu. M., Large particle method in gas dynamics, Nauka Publ., M., 1982, 392 pp. (in Russ.)

[7] Grishin Yu. A., “The new schemes of a large particles method and their usage for optimization gas-air channels of engines”, Matem. Mod., 14:8 (2002), 51–55 (in Russ.) | Zbl

[8] Kovalev Yu. M., Fizika goreniya i vzryva, 20:2 (1984), 102–107 (in Russ.)

[9] Kovalev Yu. M., Cheremokhov A. Yu., Voprosy atomnoy nauki i tekhniki. Seriya “Matematicheskoe modelirovanie fizicheskikh protsessov”, 1997, no. 3, 39–43 (in Russ.)

[10] Kruglikov B. S., Kutushev A. G., Fizika goreniya i vzryva, 1988, no. 1, 115–117 (in Russ.)

[11] Kruglikov B. S., Kutushev A. G., Journal of Applied Mechanics and Technical Physics, 1988, no. 1, 51–57 (in Russ.)

[12] Ivandaev A. I., Kutushev A. G., Chislennye metody v mekhanike sploshnykh sred, 14:6 (1983), 47–60 (in Russ.) | MR