@article{Zhakebayev_Moisseyeva_Hrebtov_Tsoy_2019, title={Numerical algorithm for solving the problem of modeling the dynamics of a large-scale thermal}, volume={100}, url={https://bm.kaznu.kz/index.php/kaznu/article/view/564}, DOI={10.26577/JMMCS-2018-4-564}, abstractNote={<p>The article presents research results on dynamics of large-scale thermals influenced by buoyancy<br>force, turbulent mixing and adiabatic expansion. Mathematical model is based on the Navier –<br>Stokes equations, the continuity equation, and the total energy equation. Numerical simulation<br>realized by finding solution of three dimension Lattice Boltzmann Equations appling D3Q27 model.<br>First approximation of the solution of Boltzmann equation leads to the hydrodynamic Navier –<br>Stokes equation.Numerical verification of the algorithm was carried out using benchmark Poiseuille<br>flow problem. A number of numerical experiments were carried out, with different initial conditions<br>for temperature and density inside and outside the large-scale thermal.The dependence of the<br>height of cloud rise on the initial temperature was obtained. Dynamics of the temperature field<br>propagation is given for an initial value of 1800 ◦ K at the time instant of 5 s, 15 s, and 35 s.</p>}, number={4}, journal={Journal of Mathematics, Mechanics and Computer Science}, author={Zhakebayev, D. B. and Moisseyeva, Ye. and Hrebtov, M. Y. and Tsoy, N. V.}, year={2019}, month={Jan.}, pages={88–102} }