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

M. R. Smith*, F. A. Kuo, H. M. Cave, M. C. Jermy, Jong-Shinn Wu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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
StatePublished - 10 Jul 2010
Event27th International Symposium on Rarefied Gas Dynamics, RGD27 - Pacific Grove, CA, United States
Duration: 10 Jul 201115 Jul 2011

Publication series

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


Conference27th International Symposium on Rarefied Gas Dynamics, RGD27
Country/TerritoryUnited States
CityPacific Grove, CA


  • Computational fluid dynamics (CFD)
  • Finite volume method (FVM)
  • Kinetic theory of gases


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