μ-DSMC: A general viscosity method for rarefied flow

Macrossan, Michael N. (2003) μ-DSMC: A general viscosity method for rarefied flow. Journal of Computational Physics, 185 2: 612-627. doi:10.1016/S0021-9991(03)00009-3

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Author Macrossan, Michael N.
Title μ-DSMC: A general viscosity method for rarefied flow
Journal name Journal of Computational Physics   Check publisher's open access policy
ISSN 0021-9991
Publication date 2003-03-01
Sub-type Article (original research)
DOI 10.1016/S0021-9991(03)00009-3
Open Access Status File (Author Post-print)
Volume 185
Issue 2
Start page 612
End page 627
Total pages 16
Place of publication Oxford
Publisher Elsevier Science Ltd
Language eng
Subject 240502 Fluid Physics
Abstract A modified DSMC method for rarefied flows is described, by which any viscosity law mu = mu(T) may be simulated, including experimental data directly. The collision cross-section of a simple collision model is made to vary from cell to cell, based on the time-averaged cell temperature and the required viscosity at that temperature. The new method is tested in two different flows: high speed Couette flow and a plane 1D shock. For Couette flow, the shear stress and heat transfer, calculated from the velocity distribution, agree with the theoretical values calculated from the flow gradients and the theoretical transport coefficients. For the 1D shock, the new method is compared with the generalized hard sphere (GHS) model. The new method produces profiles of density and temperature which are generally indistinguishable from the GHS results except for a deviation in the Tx temperature component in a small region ahead of the shock. For the worst case the deviation is 4.6%, but it can be reduced by basing the imposed viscosity on the maximum component of kinetic temperature rather than the mean kinetic temperature. The new method is shown to be insensitive to the number of simulator particles used in each cell. Three translational degrees of freedom are considered. However, because mu-DSMC is based on a hard sphere or VHS cross-section, it is compatible with the most commonly used Borgnakke-Larsen model for translational-rotational energy exchange.
Keyword rarefied flow
DSMC
viscosity method
realsitic viscosity
fast method
collision model
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Additional Notes Originally published as Macrossan, M. N. (2003) 'mu-DSMC: a general viscosity method for rarefied flow', Journal of Computational Physics, 185 (2): 612-627. Copyright 2003 elsevier Science Ltd. All rights reserved.

 
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Created: Mon, 14 Feb 2005, 10:00:00 EST by Michael N Macrossan on behalf of School of Engineering