Quiet direct simulation (QDS) of Viscous flow using the Chapman-Enskog distribution

M. R. Smith, F. A. Kuo, H. M. Cave, M. C. Jermy, J. S. Wu

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


Presented here is the QDS method modified to employ an arbitrary governing velocity probability distribution. An algorithm is presented for the computation of QDS particle "blueprints". The method, which employs a known continuous velocity probability distribution function, uses a set of fixed QDS particle "weights", which can be arbitrarily selected. Provided the weights, particle "blueprint" velocities are computed by taking multiple moments around the governing velocity probability distribution function to provide the discrete representation employed by QDS. In particular, we focus on the results obtained when the governing distribution function is the Chapman-Enskog distribution function. Results are shown for several benchmark tests including a one dimensional standing shock wave and a two dimensional lid driven cavity problem. Finally, the performance of QDS when applied to General Purpose computing on Graphics Processing Units (GPGPU) is demonstrated.

Original languageEnglish
Title of host publication27th International Symposium on Rarefied Gas Dynamics - 2010, RGD27
Number of pages6
EditionPART 1
Publication statusPublished - 2011
Event27th International Symposium on Rarefied Gas Dynamics, RGD27 - Pacific Grove, CA, United States
Duration: 2011 Jul 102011 Jul 15

Publication series

NameAIP Conference Proceedings
NumberPART 1
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


Other27th International Symposium on Rarefied Gas Dynamics, RGD27
Country/TerritoryUnited States
CityPacific Grove, CA

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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