Numerical modelling of detached flow around a car body by using large eddy simulation method
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Keywords:
Ahmed body, Navier-Stokes equations, finite volume method, Runge-Kutta method, pressure drag.Abstract
This paper presents a mathematical model of detached flow around a car body by using large eddy simulation method, which is solved by the equations of Navier - Stokes for an incompressible fluid based on the method of splitting by physical parameters that can be discretize by the control volume method. In the first step it is assumed that the transfer of momentum carried out only by convection and diffusion. Intermediate velocity field is solved by 5-step Runge - Kutta method. At the second stage, the pressure field is solved based on the found intermediate velocity field. The algorithm is parallelized on high-performance systems. The obtained numerical results of three-dimensional detached flow around a car bodyreveals to approximate qualitatively and quantitatively the basic laws of hydrodynamics processes occurring in aerodynamics.References
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2. Happian-Smith J. Introduction to modern vehicle design. Transport esearch laboratory (TRL), UK.
3. Lienhart H., Becker S. Flow and turbulence structure in the wake of a simplified car model. SAE Paper 2003-01-0656. – 2003.
4. Lai Ch., Kohama Y., Obayashi Sh., Jeong Sh.. Experimental and numerical investigations on the influence of vehicle rear diffuser angle on aerodynamic drag and wake structure. International Journal of Automotive Engineering 2, – 2011. – P. 47-53.
5. Das P., Sayem A.S.M., Islam M.T. Large- Eddy Simulation of the flow around an Ahmed reference model. Asian congress of Fluid Mechanics, 17-21 December, Dhaka, Bangladesh.
6. Korkischko I., Romano Meneghini J. Experimental investigation and numerical simulation of the flow around an automotive model: Ahmed Body. 19th International Congress of Mechanical Engineering, Proceedings of COBEM2007, Brasilia.
7. Bayraktar D., Landman D., Baysal O. Experimental and computational investigation of Ahmed body for ground vehicle aerodynamics, SAE Report, 01-2742, – 2001.
8. Spohn A., Gillieron P. Flow separations generated by a simplified geometry of an automotive vehicle, IUTAM Symposium: unsteady separated flows. Toulouse, France, – 2002.
9. Sims-Williams D. Experimental investigation into unsteadiness and instability in passenger car aerodynamics, SAE Report, 980391, – 1998.
10. Manceau R., Bonnet J.P. Workshop on refined turbulence modelling. 10th ERCOFTAC _SIG-15_/IAHR/QNET-FD, – 2002.
11. Gillieron P., Chometon F. Modelling of stationary three-dimensional detached airflows around an Ahmed reference body. Third International Workshop on Vortex, ESAIM Proceedings 7, – 1999. – P. 173-183.
12. Durand L., Kuntz M., Menter F. Validation of CFX-5 for the Ahmed car body. CFX Validation Report No. CFX-Val 13/1002, – 2002.
13. Han T. Computational analysis of threedimensional turbulent flow around a bluff body in ground proximity. AIAA J. 27, –1989. – P. 1213-1219.
14. Menter F.R., Kuntz M. Development and application of a zonal DES turbulence model for CFX-5. CFX internal report, – 2003.
15. Guilmineau E. Computational study of flow around a simplified car body. J. Wind. Eng. Ind. Aerodyn. 96. – 2007. –P. 1207-1217.
16. Krajnovic S., Davidson L. Flow around a simplified car. J. Fluids Eng. 127, 907 _2005_; 127, – 2005. – P. 919–928.
17. Howard R.J.A., Pourquie M. Large eddy simulation of an Ahmed reference model. J. Turbul. 3(1), – 2002, art no. 012.
18. Hinterberger M., Garcia-Villalba M., Rodi W.The aerodynamics of heavy vehicles: Trucks, Buses, and Trains. Applied and Computational Mechanics, New York, 2004.
19. Minguez M., Pasquetti R., Serre E.Highorder large-eddy simulation of flow over the “Ahmed body” car model. Physics of fluids, 20(9), 095101, – 2008.
20. Franck G., Nigro N., Storti M., D’elía J. Numerical simulation of the flow around the Ahmed vehicle model. Latin American Applied Research 39. – 2009. – P. 295-306.
21. Lesieur M., Metais O., Comte P. Large eddy simulation of turbulence. New York, Cambridge University Press, 2005. P.219.
22. Issakhov A. Large eddy simulation of turbulent mixing by using 3D decomposition method. Issue 4 (2011) J. Phys.: Conf. Ser.318. PP. 1282-1288, 042051. doi:10.1088/1742-6596/318/4/042051
23. Chung T. J. Computational Fluid Dynamics. Cambridge University Press, 2002 – P. 1012.
24. Fletcher C.A. Computational Techniques for Fluid Dynamics. Vol 2: Special Techniques for Differential Flow Categories, Berlin: Springer- Verlag. -1988. – P. 485.
25. Issakhov A. Pryamoe chislennoe modelirovanie (DNS) turbulentnih echenii s ispolzovaniem parallelnih tehnologi. Bulletin of KazNU, -2012. – № 2(73). – P.81-91
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Issakhov, A., Khan, Y., & Temirbekuly, N. (2015). Numerical modelling of detached flow around a car body by using large eddy simulation method. International Journal of Mathematics and Physics, 6(1), 8–12. Retrieved from https://ijmph.kaznu.kz/index.php/kaznu/article/view/110
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