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Monte Carlo Methods and Applications

Managing Editor: Sabelfeld, Karl K.

Editorial Board: Binder, Kurt / Bouleau, Nicolas / Chorin, Alexandre J. / Dimov, Ivan / Dubus, Alain / Egorov, Alexander D. / Ermakov, Sergei M. / Halton, John H. / Heinrich, Stefan / Kalos, Malvin H. / Lepingle, D. / Makarov, Roman / Mascagni, Michael / Mathe, Peter / Niederreiter, Harald / Platen, Eckhard / Sawford, Brian R. / Schmid, Wolfgang Ch. / Schoenmakers, John / Simonov, Nikolai A. / Sobol, Ilya M. / Spanier, Jerry / Talay, Denis

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Volume 21, Issue 1


DSMC method for a two-dimensional flow with a gravity field in a square cavity

Mohamed Hssikou / Jamal Baliti / Yassir Bouzineb / Mohammed Alaoui
Published Online: 2015-02-11 | DOI: https://doi.org/10.1515/mcma-2014-0009


In order to describe a two-dimensional flow of a dilute, hard sphere gas in the transitional regime, the DSMC numerical method (direct simulation Monte Carlo) is used to solve the Boltzmann equation in the corresponding case. To do this, the gas is enclosed under the effect of a gravity field in a square cavity whose walls have equal temperatures at first, which then change according to a temperature gradient in the vertical direction. To simplify the study and to use convenient boundary conditions, the surrounding gas of the cavity is considered to be Maxwellian. The behaviour of the system can be inferred from the profiles of density, temperature, pressure and heat flux, and is then compared with previous theoretical models.

Keywords: DSMC; two-dimensional; gas flow; gravity; heat transfer

MSC: 76P05

About the article

Received: 2014-07-02

Accepted: 2014-12-27

Published Online: 2015-02-11

Published in Print: 2015-03-01

Citation Information: Monte Carlo Methods and Applications, Volume 21, Issue 1, Pages 59–67, ISSN (Online) 1569-3961, ISSN (Print) 0929-9629, DOI: https://doi.org/10.1515/mcma-2014-0009.

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