Direct simulation Monte Carlo (DSMC) method in low Knudsen rarefied flows at micro/nanoscales remains a big challenge for researchers due to large computational requirements. In this article, the application of the simplified Bernoulli-trials (SBT)/dual grid collision scheme is extended for solving low Knudsen/low speed and low Knudsen/high gradient rarefied micro/nanoflows. The main advantage of the SBT algorithm is to provide accurate calculations using much smaller number of particles per cell, i.e., 〈N〉 ≈ 2, which is quite beneficial for near continuum DSMC simulations where the requirement of fine meshes faces the simulation with serious memory restrictions. Comparing the results of the SBT/dual grid scheme with the no time counter (NTC) scheme and majorant frequency scheme (MFS), it is shown that the SBT/dual grid scheme could successfully predict the thermal pattern and hydrodynamics field as well as surface parameters such as velocity slip, temperature jump and wall heat fluxes. Therefore, we present SBT/dual grid algorithm as a suitable alternative of the standard collision schemes in the DSMC method for typical micro/nanoflows solution. Nonlinear flux-corrected transport (FCT) algorithm is also employed as a filter to extract the smooth solution from the noisy DSMC calculation for low speed/low Knudsen number DSMC calculations.
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Faculty of Engineering,
Ferdowsi University of Mashhad,
Bulgarian Academy of Science,
Sofia 1113,
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Research-Article
DSMC Simulation of Low Knudsen Micro/Nanoflows Using Small Number of Particles per Cells
Ehsan Roohi,
Ehsan Roohi
1
e-mail: e.roohi@ferdowsi.um.ac.ir
1Corresponding author.
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Hamid Niazmand,
Faculty of Engineering,
Ferdowsi University of Mashhad,
Hamid Niazmand
Department of Mechanical Engineering
,Faculty of Engineering,
Ferdowsi University of Mashhad,
P.O. Box 91775-1111
,Mashhad
, Iran
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Stefan Stefanov
Bulgarian Academy of Science,
Sofia 1113,
Stefan Stefanov
Institute of Mechanics
,Bulgarian Academy of Science,
Acad. G. Bontchev Street
,Sofia 1113,
Bulgaria
Search for other works by this author on:
Ehsan Roohi
e-mail: e.roohi@ferdowsi.um.ac.ir
Hamid Niazmand
Department of Mechanical Engineering
,Faculty of Engineering,
Ferdowsi University of Mashhad,
P.O. Box 91775-1111
,Mashhad
, Iran
Stefan Stefanov
Institute of Mechanics
,Bulgarian Academy of Science,
Acad. G. Bontchev Street
,Sofia 1113,
Bulgaria
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received July 13, 2012; final manuscript received February 1, 2013; published online September 11, 2013. Assoc. Editor: Sushanta K. Mitra.
J. Heat Transfer. Oct 2013, 135(10): 101008 (8 pages)
Published Online: September 11, 2013
Article history
Received:
July 13, 2012
Revision Received:
February 1, 2013
Citation
Amiri-Jaghargh, A., Roohi, E., Niazmand, H., and Stefanov, S. (September 11, 2013). "DSMC Simulation of Low Knudsen Micro/Nanoflows Using Small Number of Particles per Cells." ASME. J. Heat Transfer. October 2013; 135(10): 101008. https://doi.org/10.1115/1.4024505
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