CONTROL OF ENERGY EFFICIENCY IN INDUSTRY AND HOUSING AND COMMUNAL SERVICES Sign | Register |

UDC 519.63 + 532.529.5 DOI: 10.14529/ctcr150210 Method of Large Particles for Research of Currents of Gas-Suspensions Yu.M. Kovalev, South Ural State University, Chelyabinsk, Russian Federation, yum_kov@mail.ruE.A. Kovaleva, Chelyabinsk State University, Chelyabinsk, Russian Federation, ea_kov@mail.ruAbstractModification of a method of large particles in the annex to researches of currents of gassuspensions was developed. It is shown that this modification of method of large particles allows to carry out calculations of behavior of shock waves in gas-suspensions without introduction in an explicit form of artificial viscosity. It allowed to eliminate distortions of a physical picture of a current of the gas-suspension connected with existence of the ostsillyation taking place at distribution of shock waves in non-uniform environments. It was shown that the obvious option of modification of a method of large particles when using of the offered modification for carrying out calculations of distribution of shock waves in gas-suspensions with large numbers of Courant can be used. It allows to reduce considerably time of calculation of a task and to avoid carrying out the difficult iterative procedures inherent in implicit differential schemes. It is shown that the offered modification is effective and allows to carry out calculations of shock waves in gas-suspensions with large numbers of Courant. Keywordsnumerical method, mathematical model, gas-suspensions, conservation laws, shock waves, number of Courant References1. Kuropatenko V.F. [New Models of Mechanics of Continuous Environments]. Engineering Physical Journal, 2011, vol. 84, no. 1, pp. 74–92. (in Russ.) 2. Grishin A.M., Kovalev Yu.M. [About Strengthening of Shock Waves at their Interaction with the Front of Forest Fire]. Reports of Academy of Sciences, 1990, vol. 312, no. 1, pp. 50–54. (in Russ.) 3. Kovalev Yu.M., Pigasov E.E. [Mathematical Model of a Gas-Suspension with Chemical Transformations in Approach of Pair Interactions]. Bulletin of the South Ural State University. Ser. Mathematic Modelling and Programming, 2014, vol. 7, no. 3, pp. 40–49. (in Russ.) 4. Kovalev Yu.M., Kovaleva E.A. [Mathematical Analysis of the Equations of Preservation TwoPhase Mixes]. Bulletin of the South Ural State University. Ser. Mathematic Modelling and Programming, 2014, vol. 7, no. 2, pp. 29–37. (in Russ.) 5. Kovalev Yu.M., Kovaleva E.A. [Analysis of Possibility of Application of Some Numerical Methods for the Solution of Problems of Mechanics of Multicomponent Environments]. Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control, Radio Electronics, 2014, vol. 14, no. 1, pp. 57–62. (in Russ.) 6. Belotserkovskiy O.M., Davydov Yu.M. Metod krupnykh chastits v gazovoy dinamike [Method of Large Particles in the Gas Dynamics]. Moscow, Nauka Publ., 1982. 392 p. 7. Grishin Yu.A. [New Schemes of a Method of Large Particles and Use them for Optmization of Air-Gas Paths of Engines]. Mathematic Modelling, 2002, vol. 14, no. 8, pp. 51–55. (in Russ.) 8. Kovalev Ju.M. [Equations of a State and Temperature of Shock Compression Crystal Explosives]. Physics of Burning and Explosion, 1984, vol. 20, no. 2, pp. 102–107. (in Russ.) 9. Kruglikov B.S., Kutushev A.G. [Weakening of Air Shock Waves by the Shielding Lattices]. Physics of Burning and Explosion, 1988, no. 1, pp. 115–117. (in Russ.) 10. Kruglikov B.S., Kutushev A.G. [Weakening of Air Shock Waves by Layers of Dusty Gas and Lattices]. Applied Mechanics and Technical Physics. 1988, no. 1, pp 51–57. (in Russ.) 11. Ivandaev A.I., Kutushev A.G. [Numerical Research of Non-Stationary Wave Currents of GasSuspensions with Allocation of Borders of Two-phase Areas and Contact Gaps in the Bearing Gas]. Numerical Methods in Mechanics of Continuous Environments, 1983, vol. 14, no. 6, pp. 47–60. (in Russ.) SourceBulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control, Radio Electronics, 2015, vol. 15, no. 2, pp. 91-96. (in Russ.) (Modeling and Computer Technologies) |