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research article

Particle number control for direct simulation Monte-Carlo methodology using kernel estimates

Gorji, Hossein  
•
Kuchlin, Stephan
•
Jenny, Patrick
June 12, 2019
Physics Of Fluids

The efficiency of stochastic particle schemes for large scale simulations relies on the ability to preserve a uniform distribution of particles in the whole physical domain. While simple particle split and merge algorithms have been considered previously, this study focuses on particle management based on a kernel density approach. The idea is to estimate the probability density of particles and subsequently draw independent samples from the estimated density. To cope with that, novel methods are devised in this work leading to efficient algorithms for density estimation and sampling. For the density inference, we devise a bandwidth with a bounded bias error. Furthermore, the sampling problem is reduced to drawing realizations from a normal distribution, augmented by stratified sampling. Thus, a convenient and efficient implementation of the proposed scheme is realized. Numerical studies using the devised method for direct simulation Monte-Carlo show encouraging performance.

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Type
research article
DOI
10.1063/1.5097902
Author(s)
Gorji, Hossein  
Kuchlin, Stephan
Jenny, Patrick
Date Issued

2019-06-12

Published in
Physics Of Fluids
Volume

31

Issue

6

Article Number

062008

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
MCSS  
Available on Infoscience
June 17, 2019
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/156835
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