Low-noise Monte Carlo simulation of the variable hard sphere gas
Author(s)
Radtke, Gregg A.; Hadjiconstantinou, Nicolas; Wagner, Wolfgang
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We present an efficient particle simulation method for the Boltzmann transport equation based on the low-variance deviational simulation Monte Carlo approach to the variable-hard-sphere gas. The proposed method exhibits drastically reduced statistical uncertainty for low-signal problems compared to standard particle methods such as the direct simulation Monte Carlo method. We show that by enforcing mass conservation, accurate simulations can be performed in the transition regime requiring as few as ten particles per cell, enabling efficient simulation of multidimensional problems at arbitrarily small deviation from equilibrium.
Date issued
2011-03Department
Massachusetts Institute of Technology. Department of Mechanical EngineeringJournal
Physics of Fluids
Publisher
American Institute of Physics
Citation
Radtke, Gregg A., Nicolas G. Hadjiconstantinou, and Wolfgang Wagner. “Low-noise Monte Carlo simulation of the variable hard sphere gas.” Physics of Fluids 23.3 (2011) : 030606. © 2011 American Institute of Physics
Version: Final published version
ISSN
1070-6631