Assessing the operation impact of thermal power plants on the environment by mathematical modeling method

  • A. A. Исахов al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan

Abstract

The paper presents an assessment of the operation impact of thermal power plants on the environment by mathematical modeling method, which is solved by the Navier - Stokes and temperature equations for an incompressible fluid in a stratified medium, based on the projection method which are approximated by control volume method. A numerical algorithm for solving the Navier-Stokes and the temperature transport equations are as follows: in the first stage it is assumed that the transfer of momentum is carried out only by convection and diffusion. The intermediate velocity field is solved by 5-step Runge - Kutta method. In the second stage, based on the found intermediate velocity field, is solved the pressure field. Poisson equation for the pressure field is solved by Jacobi method. In a third step it is assumed that the transfer is carried out only by the pressure gradient. The fourth step numerically solved temperature transfer equation as the momentum equation by 5-step Runge - Kutta method. The algorithm is parallelized on high-performance systems. The obtained numerical results of three-dimensional stratified turbulent flow reveals qualitatively and quantitatively approximate the basic laws of hydrothermal processes occurring in the aquatic environment.

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Published
2017-11-24
How to Cite
ИСАХОВ, A. A.. Assessing the operation impact of thermal power plants on the environment by mathematical modeling method. KazNU Bulletin. Mathematics, Mechanics, Computer Science Series, [S.l.], v. 89, n. 2, p. 55-64, nov. 2017. ISSN 1563-0277. Available at: <http://bm.kaznu.kz/index.php/kaznu/article/view/353>. Date accessed: 17 aug. 2018.
Keywords: stratified environment, Navier-Stokes equations, operational capacity, Ekibastuz GRES-2, finite volume method, Runge-Kutta method, Shandaksor lake