Low-noise Monte Carlo simulation of the variable hard sphere gas
Name
Hadjiconstantinou_Low-noise.pdf
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1.93 MB
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Adobe PDF
Checksum (MD5)
e0a2072eb66da5838473ef26393f925b
Author(s)
Radtke, Gregg A.
Hadjiconstantinou, Nicolas
Wagner, Wolfgang
Date Issued
March 2011
Journal
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
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1063/1.3558887
