Poiseuille channel flow by adding and doubling

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The flow of a rarefied gas between two plates of a micro channel, commonly called Poiseuille flow, has been extensively studied in the BGK approximation. In particular, the Analytical Discrete Ordinates (ADO) method determines the velocity profile and flow rate efficiently and accurately. Here, an equally efficient and precise solution is presented using the method of doubling, which however is arguably a numerically simpler and a more natural approach avoiding eigenvalues and eigenvectors. Highly accurate benchmark results for Poiseuille flow are reported for use as a benchmark.

Original languageEnglish (US)
Title of host publication30th International Symposium on Rarefied Gas Dynamics, RGD 2016
EditorsHenning Struchtrup, Andrew Ketsdever
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414488
DOIs
StatePublished - Nov 15 2016
Event30th International Symposium on Rarefied Gas Dynamics, RGD 2016 - Victoria, Canada
Duration: Jul 10 2016Jul 15 2016

Publication series

NameAIP Conference Proceedings
Volume1786
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other30th International Symposium on Rarefied Gas Dynamics, RGD 2016
CountryCanada
CityVictoria
Period7/10/167/15/16

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Ganapol, B. D. (2016). Poiseuille channel flow by adding and doubling. In H. Struchtrup, & A. Ketsdever (Eds.), 30th International Symposium on Rarefied Gas Dynamics, RGD 2016 [070009] (AIP Conference Proceedings; Vol. 1786). American Institute of Physics Inc.. https://doi.org/10.1063/1.4967585