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Switching criteria for hybrid rarefied gas flow solvers
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Lockerby, Duncan A., Reese, Jason and Struchtrup, Henning. (2009) Switching criteria for hybrid rarefied gas flow solvers. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol.465 (No.2105). pp. 1581-1598. ISSN 1364-5021
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Official URL: http://dx.doi.org/10.1098/rspa.2008.0497
Abstract
Switching criteria for hybrid hydrodynamic/molecular gas flow solvers are developed, and are demonstrated to be more appropriate than conventional criteria for identifying thermodynamic non-equilibrium. For switching from a molecular/kinetic solver to a hydrodynamic (continuum-fluid) solver, the criterion is based on the difference between the hydrodynamic near-equilibrium fluxes (i.e. the Navier Stokes stress and Fourier heat. ux) and the actual values of stress and heat flux as computed from the molecular solver. For switching from hydrodynamics to molecular/kinetic, a similar criterion is used but the values of stress and heat. ux are approximated through higher order constitutive relations; in this case, we use the R13 equations. The efficacy of our proposed switching criteria is tested within an illustrative hybrid kinetic/Navier Stokes solver. For the test cases investigated, the results from the hybrid procedure compare very well with the full kinetic solution, and are obtained at a fraction of the computational cost.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics T Technology > TJ Mechanical engineering and machinery |
| Divisions: | Faculty of Science > Engineering |
| Library of Congress Subject Headings (LCSH): | Free molecular flow, Gas flow, Thermodynamic equilibrium, Fluid dynamics |
| Journal or Publication Title: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Publisher: | The Royal Society Publishing |
| ISSN: | 1364-5021 |
| Date: | 8 May 2009 |
| Volume: | Vol.465 |
| Number: | No.2105 |
| Number of Pages: | 18 |
| Page Range: | pp. 1581-1598 |
| Identification Number: | 10.1098/rspa.2008.0497 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | Engineering and Physical Sciences Research Council (EPSRC), Natural Resource and Engineering Research Council of Canada (NSERC) |
| Grant number: | EP/D007488/1 (EPSRC) |
| Version or Related Resource: | Lockerby, D. A., Struchtrup, H. and Reese, J.M. (2008). Switching criteria for hybrid rarefied gas flow solvers. In: Abe, T. (ed). Rarefied Gas Dynamics: Proceedings of the 26th International Symposium on Rarefied Gas Dynamics, Vol. 1084, pp. 434 - 440. |
| Related URLs: | |
| URI: | http://wrap.warwick.ac.uk/id/eprint/28239 |
Data sourced from Thomson Reuters' Web of Knowledge
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