Mathematical modelling of flow around obstacles with complex geometric configuration in a viscous incompressible medium

  • A. Issakhov
  • A. A. Shaibekova

Abstract

In this paper, we numerically investigate flow around obstacles with complex geometric configuration in a viscous incompressible environment. The Navier-Stokes equations were used to modeling the flow around obstacles with complex geometric configuration. The numerical algorithm was constructed by using projection method. At the first stage the intermediate speed is determined by the 5-step Runge-Kutta method. At the second stage the results of intermediate velocity used to determine the pressure field. Poisson equation for the pressure field is solved numerically by using the Jacobi method.
The numerical algorithm is tested at flow around the square cylinder and compared with experimental data, which gives good results. Also, in this work simulated non-stationary flow around one and two
cylinders obstacles arranged opposite each other.
Published
Jun 27, 2016
How to Cite
ISSAKHOV, A.; SHAIBEKOVA, A. A.. Mathematical modelling of flow around obstacles with complex geometric configuration in a viscous incompressible medium. International Journal of Mathematics and Physics, [S.l.], v. 7, n. 1, p. 40-45, june 2016. ISSN 2409-5508. Available at: <http://ijmph.kaznu.kz/index.php/kaznu/article/view/158>. Date accessed: 22 july 2018.
Section
Informatics and Mathematical Modeling

Keywords

The Navier-Stokes equations, finite volumes method, Karman vortex shedding, an aerodynamic tube.