Applications of parallel computing technologies for modeling the mixed convection in backward-facing step flows with the vertical buoyancy forces

  • A. Issakhov Faculty of Mechanics and Mathematics, al-Farabi Kazakh National University, Almaty, Kazakhstan
  • A. Abylkassymova Faculty of Mechanics and Mathematics, al-Farabi Kazakh National University, Almaty, Kazakhstan
  • M. Sakypbekova Faculty of Mechanics and Mathematics, al-Farabi Kazakh National University, Almaty, Kazakhstan

Abstract

 This paper presents numerical solutions of the mixed convection in backward-facing step flows with the vertical buoyancy forces. A two-dimensional incompressible Navier-Stokes equation is used to describe this process. This system is approximated by the control volume method and solved numerically by the projection method. The two-dimensional Poisson equation satisfying the discrete continuity equation that is solved by the Jacobi iterative method at each time step. The numerical solutions of the laminar flow behind the backward-facing step with the vertical buoyancy forces are compared with the numerical results of other authors. This numerical algorithm is completely parallelized using various geometric domain decompositions (1D, 2D and 3D). Preliminary theoretical analysis of the various decomposition methods effectiveness of the computational domain and real computational experiments for this problem were made and the best domain decomposition method was determined. In the future, a proven mathematical model and parallelized numerical algorithm with the best domain decomposition method can be applied for various complex flows with the vertical buoyancy forces.

 
 


 

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АнглийскийИспанскийИтальянскийКазахскийКитайский ТрадКитайский УпрКорейскийРусскийТурецкийФранцузский
 
АнглийскийИспанскийИтальянскийКазахскийКитайский ТрадКитайский УпрКорейскийРусскийТурецкийФранцузский
 
 
 
 
 


 
 
 
Звуковая функция ограничена 200 символами

 

 
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Published
Dec 25, 2017
How to Cite
ISSAKHOV, A.; ABYLKASSYMOVA, A.; SAKYPBEKOVA, M.. Applications of parallel computing technologies for modeling the mixed convection in backward-facing step flows with the vertical buoyancy forces. International Journal of Mathematics and Physics, [S.l.], v. 8, n. 2, p. 43-50, dec. 2017. ISSN 2409-5508. Available at: <http://ijmph.kaznu.kz/index.php/kaznu/article/view/231>. Date accessed: 24 oct. 2018. doi: https://doi.org/10.1234/ijmph.v8i2.231.