@article{Zhakebayev_Karzhaubayev_Zhubat_Abdibekova_2018, title={Numerical simulation of the clouds evolution in the ground explosion of the carrier-rocket}, volume={95}, url={https://bm.kaznu.kz/index.php/kaznu/article/view/478}, DOI={10.26577/jmmcs-2017-3-478}, abstractNote={<p>In this paper, the evolution of a cloud under the influence of the buoyancy force is considered, taking<br>into account turbulent mixing and adiabatic expansion. Numerical simulation is carried out on the<br>basis of the solution of the three-dimensional filtered non-stationary Navier-Stokes equation, the<br>continuity equation, the concentration equation, the enthalpy equation, and the equation of state<br>for compressible media. The modified solver is based on the OpenFOAM mathematical physics<br>library. To close the basic equations, a viscous model of turbulence is used. The dependence of the<br>height of the lifting of the fireball in the atmosphere on the thermodynamic parameters, during<br>the explosion of the Proton-M rocket carrier on July 2, 2013, was obtained.</p>}, number={3}, journal={Journal of Mathematics, Mechanics and Computer Science}, author={Zhakebayev, D. B. and Karzhaubayev, K. K. and Zhubat, K. Zh. and Abdibekova, A. U.}, year={2018}, month={Aug.}, pages={90–104} }