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.
[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)
[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)
@article{"International Journal of Engineering, Mathematical and Physical Sciences:58617", author = "Nabeel A. Qazi and Absaar ul Jabbar and Khalid Parvez", title = "Direct Simulation Monte Carlo (DSMC) Algorithm – A Comparison of Mathematica Code with FLUENT 6.2 for Low Knudsen Number", abstract = "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.", keywords = "DSMC algorithm, non continuum gas flows, Monte Carlo methods", volume = "4", number = "9", pages = "1268-4", }