Direct Simulation Monte Carlo (DSMC) Algorithm – A Comparison of Mathematica Code with FLUENT 6.2 for Low Knudsen Number

A code has been developed in Mathematica using Direct Simulation Monte Carlo (DSMC) technique. The code was tested for 2-D air flow around a circular cylinder. Same geometry and flow properties were used in FLUENT 6.2 for comparison. The results obtained from Mathematica simulation indicated significant agreement with FLUENT calculations, hence providing insight into particle nature of fluid flows.




References:
[1] G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas
Flows, Oxford, London, 1994.
[2] C. H. Cheng, and F. L. Liao, "DSMC analysis of rarefied gas flow over a
rectangular cylinder at all Knudsen numbers", ASME Journal of Fluids
Engg., vol. 122, pp. 720-729, Dec. 2000.
[3] T. Ewart, J. L. Firpo, I. A. Graur, P. Perrier, and J. G. Meolans, "DSMC
simulation: Validation and application to low speed gas flows in
microchannels", ASME Journal of Fluids Engg., vol. 131, pp. (014501)
1 - 6, Jan. 2009.
[4] Geethpriya Palaniswaamy and Sudarshan K. Loyalka, "Direct simulation
Monte Carlo aerosol dynamics: Collisional sampling algorithms",
Annals of Nuclear Energy 34, pp. 13 - 21, 2007.
[5] Geethpriya Palaniswaamy and Sudarshan K. Loyalka, "Direct
simulation, Monte Carlo, aerosol dynamics: Coagulation and
condensation", Annals of Nuclear Energy 35, pp. 485 - 494, 2008.
[6] Nicholas J. Giordano, Computational Physics, Prentice Hall, New
Jersey, 1997. (Page. 161)