Mathematical modelling of flow around obstacles with complex geometric configuration in a viscous incompressible medium
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Keywords:
The Navier-Stokes equations, finite volumes method, Karman vortex shedding, an aerodynamic tube.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.References
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3. Madhavan S. Transition to three-dimensional models for flow past a confined square cylinder. PhD thesis, University of Alberta, Edmonton, AB. – Canada, 2011.
4. Anderson D., Tannehill John., Pletcher R. Computational fluid mechanics and heat transfer (Russian). – М., 1990. – 337 p.
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6. Belov I. Interaction of the Non-Uniform Flows with the Obstacles. – М.: Engineering, 1983. – 166 p.
7. Issakhov A., Mathematical modeling of the discharged heat water effect on the aquatic environment from thermal power plant // International Journal of Nonlinear Science and Numerical Simulation. – 2015. – Vol. 16, No 5. – P. 229–238, doi:10.1515/ijnsns-2015-0047.
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9. Issakhov A. Large eddy simulation of turbulent mixing by using 3D decomposition method // J. Phys.: Conf. Ser. – 2011. – Vol. 318, No 4. – P. 1282-1288, doi:10.1088/1742-6596/318/4/042051.
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Issakhov, A., & Shaibekova, A. A. (2016). Mathematical modelling of flow around obstacles with complex geometric configuration in a viscous incompressible medium. International Journal of Mathematics and Physics, 7(1), 40–45. Retrieved from https://ijmph.kaznu.kz/index.php/kaznu/article/view/158
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Informatics and Mathematical Modeling
