Hybrid continuum–molecular modelling of multiscale internal gas flows

Alexander Patronis, Duncan A. Lockerby, Matthew K. Borg, Jason M. Reese

Research output: Contribution to journalArticle

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Abstract

We develop and apply an efficient multiscale method for simulating a large class of low-speed internal rarefied gas flows. The method is an extension of the hybrid atomistic-continuum approach proposed by Borg et al. (2013) [28] for the simulation of micro/nano flows of high-aspect ratio. The major new extensions are: (1) incorporation of fluid compressibility; (2) implementation using the direct simulation Monte Carlo (DSMC) method for dilute rarefied gas flows, and (3) application to a broader range of geometries, including periodic, non-periodic, pressure-driven, gravity-driven and shear-driven internal flows. The multiscale method is applied to micro-scale gas flows through a periodic converging-diverging channel (driven by an external acceleration) and a non-periodic channel with a bend (driven by a pressure difference), as well as the flow between two eccentric cylinders (with the inner rotating relative to the outer). In all these cases there exists a wide variation of Knudsen number within the geometries, as well as substantial compressibility despite the Mach number being very low. For validation purposes, our multiscale simulation results are compared to those obtained from full-scale DSMC simulations: very close agreement is obtained in all cases for all flow variables considered. Our multiscale simulation is an order of magnitude more computationally efficient than the full-scale DSMC for the first and second test cases, and two orders of magnitude more efficient for the third case. 

Original languageEnglish
Pages (from-to)558-571
Number of pages14
JournalJournal of Computational Physics
Volume255
DOIs
Publication statusPublished - 15 Dec 2013

Fingerprint

Hybrid Modeling
Internal Flow
Direct Simulation Monte Carlo
Gas Flow
Rarefied Gas Flow
gas flow
Flow of gases
Multiscale Simulation
Multiscale Methods
Compressibility
Knudsen number
Geometry
simulation
rarefied gases
Aspect Ratio
Simulation Methods
Monte Carlo method
Mach number
Aspect ratio
Gravity

Keywords

  • compressibility
  • continuum-molecular simulation
  • continuum-particle simulation
  • hybrid methods
  • micro gas flows
  • multiscale modelling
  • rarefied gas dynamics

Cite this

Patronis, Alexander ; Lockerby, Duncan A. ; Borg, Matthew K. ; Reese, Jason M. / Hybrid continuum–molecular modelling of multiscale internal gas flows. In: Journal of Computational Physics. 2013 ; Vol. 255. pp. 558-571.
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Hybrid continuum–molecular modelling of multiscale internal gas flows. / Patronis, Alexander; Lockerby, Duncan A.; Borg, Matthew K.; Reese, Jason M.

In: Journal of Computational Physics, Vol. 255, 15.12.2013, p. 558-571.

Research output: Contribution to journalArticle

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