On the use of the modified Nanbu direct simulation scheme
type: Item
instance of: scholarly article
title: On the use of the modified Nanbu direct simulation scheme
zbMATH Open document ID: 0659.76088
DOI: 10.1016/0021-9991(89)90106-X
author: J. P. W. Stark
author: Iain D. Boyd
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: The application of direct simulation Monte Carlo methods to complex rarefied gas problems is well established. Several such methods now exist and these may be put into one of two categories, i.e., those which model the Boltzmann equation and those which model the Kac master equation. Previously, the latter methods have been in the ascendancy mainly due to their numerical efficiency. However, recent advances in using the Boltzmann equation as the kinetic model mean that the application of this solution technique warrants investigation. Our calculations show that the new DSMC method derived from the Boltzmann equation can achieve a processing time comparable with the more popular Monte Carlo schemes based on the Kac formulation.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B40
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4079058
zbMATH Keywords: direct simulation Monte Carlo methods
zbMATH Keywords: rarefied gas problems
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: Kac master equation
zbMATH Keywords: kinetic model
MaRDI profile type: Publication
cites work: Q3259971
cites work: On simulation methods for solving the Boltzmann equation
full work available at URL: 0021-9991(89)90106-x
OpenAlex ID: W2094147966
description: scientific article; zbMATH DE number 4079058