TY - JOUR
AU - Zhakebayev, D. B.
AU - Moisseyeva, Ye.
AU - Hrebtov, M. Y.
AU - Tsoy, N. V.
PY - 2019/01/24
Y2 - 2024/10/13
TI - Numerical algorithm for solving the problem of modeling the dynamics of a large-scale thermal
JF - Journal of Mathematics, Mechanics and Computer Science
JA - JMMCS
VL - 100
IS - 4
SE - Applied Mathematics
DO - 10.26577/JMMCS-2018-4-564
UR - https://bm.kaznu.kz/index.php/kaznu/article/view/564
SP - 88-102
AB - <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>
ER -