Geodesic
Modification of method of large particles for research of currents of gas-suspensions
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 8 (2015) no. 2, pp. 36-42

Voir la notice de l'article provenant de la source Math-Net.Ru

In this work a modification of the large particles method is given applications the study gas-suspensions flows. It is shown that the proposed modification of the large particles method allows to carry out calculations of behavior of shock waves in gas-suspensions without insertion of artificial viscosity in an explicit form. It allows to avoid distortion of a physical picture of the gas-suspension flow connected with existence of the ostsillyation taking place at distribution of shock waves in non-homogeneous medium. In this work it was established that for carrying out of calculations of distribution of shock waves in gas-suspensions with large Courant the problem numbers an explicit modification of a large particles method can be used. It allow to reduce time of calculation of the problem and to avoid carrying out difficult iterative procedures inherent in implicit difference schemes. It was shown that the modification of large particles method offered in this work is effective and allows to carry out calculations for even strong shock waves in gas-suspensions.
Keywords: numerical method; mathematical model; gas-suspensions; conservation laws; shock waves; Courant number. 
@article{VYURU_2015_8_2_a2,
     author = {D. S. Grishchenko and Yu. M. Kovalev and E. A. Kovaleva},
     title = {Modification of method of large particles for research of currents of gas-suspensions},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {36--42},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2015_8_2_a2/}
}
TY  - JOUR
AU  - D. S. Grishchenko
AU  - Yu. M. Kovalev
AU  - E. A. Kovaleva
TI  - Modification of method of large particles for research of currents of gas-suspensions
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
PY  - 2015
SP  - 36
EP  - 42
VL  - 8
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VYURU_2015_8_2_a2/
LA  - ru
ID  - VYURU_2015_8_2_a2
ER  - 
%0 Journal Article
%A D. S. Grishchenko
%A Yu. M. Kovalev
%A E. A. Kovaleva
%T Modification of method of large particles for research of currents of gas-suspensions
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
%D 2015
%P 36-42
%V 8
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VYURU_2015_8_2_a2/
%G ru
%F VYURU_2015_8_2_a2
D. S. Grishchenko; Yu. M. Kovalev; E. A. Kovaleva. Modification of method of large particles for research of currents of gas-suspensions. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 8 (2015) no. 2, pp. 36-42. http://geodesic.mathdoc.fr/item/VYURU_2015_8_2_a2/