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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2014 Volume 26, Number 10, Pages 109–119 (Mi mm3529)

This article is cited in 14 papers

Numerical research of evolution of the shock wave in gas-particles suspension with account uneven distribution of particles

D. A. Gubaidullinab, D. A. Tukmakovba

a Kazan (Volga Region) Federal University
b Institute of Mechanical Engineering, Russian Academy of Sciences

Abstract: In work research of process of evolution of a shock wave in a gas-particles suspension which dynamics is modeled by continual system of the equations of movement of two-temperatures and two-speed monodisperse two phases environment in a two-dimensional case. The carrier environment is described by system of the equations of Navier–Stokes. The disperse phase is modeled by the equations of preservation of weight, an impulse and internal energy. The system is given to a dimensionless look and integrated by McCormack obvious method with the conservative scheme of the correction applied to each of phases to obtaining the monotonous decision. The received decisions are compared with known results from literature.

Keywords: gas-particles suspension, disintegration of discontinuities, Navier–Stokes equations, McCormack obvious scheme.

UDC: 519.63:533:537

Received: 18.04.2013


 English version:
Mathematical Models and Computer Simulations, 2015, 7:3, 246–253

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© Steklov Math. Inst. of RAS, 2026