Modification of Method of Large Particles for Research of Currents of Gas-Suspensions

Authors

  • D. S. Grishchenko Южно-Уральский государственный университет
  • Yu. M. Kovalev Южно-Уральский государственный университет
  • E. A. Kovaleva Челябинский государственный университет

DOI:

https://doi.org/10.14529/mmp150203

Keywords:

numerical method, mathematical model, gas-suspensions, conservation laws, shock waves, Courant number.

Abstract

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.

Author Biographies

D. S. Grishchenko, Южно-Уральский государственный университет

аспирант

Yu. M. Kovalev, Южно-Уральский государственный университет

доктор физико-математических наук, профессор

E. A. Kovaleva, Челябинский государственный университет

кандидат физико-математических наук, доцент

References

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Issue

Section

Mathematical Modelling