Strategies for efficient particle resolution in the direct simulation Monte Carlo method.
type: Item
instance of: scholarly article
title: Strategies for efficient particle resolution in the direct simulation Monte Carlo method.
zbMATH Open document ID: 1051.76051
author: Keith C. Kannenberg
author: Iain D. Boyd
published in: Journal of Computational Physics
publication date: 2000-01-01T00:00:00Z
review text: This paper considers several issues of the so-called direct simulation Monte Carlo method (DSMC) as a statistical particle method for the computation of nonequilibrium gas flows. The gas flow is modeled by a large number of particles representing physical molecules and atoms on the microscopic level. The motion of these particles together with interactive collisions should reproduce the macroscopic behavior of the gas. The accuracy of this particle DSMC method has already been investigated by \textit{G. Chen} and \textit{I. D. Boyd} [ibid. 126, No. 2, 434--448 (1996, Zbl 0856.65003)] with respect to the numerical error in view of macroscopic properties. The present method is generally aiming at a numerically optimal calculation such that minimum number of particles per cell is needed to resolve the desired physics of the gas flow. The distribution of particles and the computational cost of simulations can be controlled by various computational parameters, varying particle weights and time steps, and by grid manipulation. The drawbacks and benefits of these methods are studied by the authors. A combination of time step variation and grid manipulation turns out to be the most effective simulation strategy to find a numerically efficient distribution of particles for a variety of gas flows. A model flow problem is presented, including both expansion and compression.
reviewed by: Henri Schurz
Mathematics Subject Classification ID: 76M28
Mathematics Subject Classification ID: 65C05
zbMATH DE Number: 1422656
zbMATH Keywords: nonequilibrium gas flows
zbMATH Keywords: variation of particle weights
zbMATH Keywords: variation of time steps
describes a project that uses: MONACO
MaRDI profile type: Publication
full work available at URL: jcph.1999.6397
OpenAlex ID: W2011757665
cites work: Direct simulation of gas flows at the molecular level
cites work: Statistical error analysis for the direct simulation Monte Carlo technique
cites work: Reduction of simulation cost and error for particle simulations of rarefied flows
cites work: Dynamic and selective control of the number of particles in kinetic plasma simulations
cites work: Scalar and parallel optimized implementation of the direct simulation Monte Carlo method
DOI: 10.1006/JCPH.1999.6397
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description: scientific article; zbMATH DE number 1422656