Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows
Author manuscript September 28, 2012
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Cambridge University Press
2014
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| Online Access: | http://hdl.handle.net/1721.1/85579 https://orcid.org/0000-0002-1670-2264 |
| _version_ | 1826206117389139968 |
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| author | Meng, Jianping Zhang, Yonghao Radtke, Gregg A. Shan, Xiaowen Hadjiconstantinou, Nicolas |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Meng, Jianping Zhang, Yonghao Radtke, Gregg A. Shan, Xiaowen Hadjiconstantinou, Nicolas |
| author_sort | Meng, Jianping |
| collection | MIT |
| description | Author manuscript September 28, 2012 |
| first_indexed | 2024-09-23T13:24:22Z |
| format | Article |
| id | mit-1721.1/85579 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:24:22Z |
| publishDate | 2014 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | mit-1721.1/855792022-09-28T13:55:34Z Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows Meng, Jianping Zhang, Yonghao Radtke, Gregg A. Shan, Xiaowen Hadjiconstantinou, Nicolas Massachusetts Institute of Technology. Department of Mechanical Engineering Hadjiconstantinou, Nicolas Radtke, Gregg A. Author manuscript September 28, 2012 A thermal lattice Boltzmann model is constructed on the basis of the ellipsoidal statistical Bhatnagar–Gross–Krook (ES-BGK) collision operator via the Hermite moment representation. The resulting lattice ES-BGK model uses a single distribution function and features an adjustable Prandtl number. Numerical simulations show that using a moderate discrete velocity set, this model can accurately recover steady and transient solutions of the ES-BGK equation in the slip-flow and early transition regimes in the small-Mach-number limit that is typical of microscale problems of practical interest. In the transition regime in particular, comparisons with numerical solutions of the ES-BGK model, direct and low-variance deviational Monte Carlo simulations show good accuracy for values of the Knudsen number up to approximately 0.5. On the other hand, highly non-equilibrium phenomena characterized by high Mach numbers, such as viscous heating and force-driven Poiseuille flow for large values of the driving force, are more difficult to capture quantitatively in the transition regime using discretizations chosen with computational efficiency in mind such as the one used here, although improved accuracy is observed as the number of discrete velocities is increased. 2014-03-10T17:11:46Z 2014-03-10T17:11:46Z 2013-02 2012-09 Article http://purl.org/eprint/type/JournalArticle 0022-1120 1469-7645 http://hdl.handle.net/1721.1/85579 Meng, Jianping, Yonghao Zhang, Nicolas G. Hadjiconstantinou, Gregg A. Radtke, and Xiaowen Shan. “Lattice Ellipsoidal Statistical BGK Model for Thermal Non-Equilibrium Flows.” J. Fluid Mech. 718 (March 2013): 347–370. https://orcid.org/0000-0002-1670-2264 en_US http://dx.doi.org/10.1017/jfm.2012.616 Journal of Fluid Mechanics Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Cambridge University Press arXiv |
| spellingShingle | Meng, Jianping Zhang, Yonghao Radtke, Gregg A. Shan, Xiaowen Hadjiconstantinou, Nicolas Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows |
| title | Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows |
| title_full | Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows |
| title_fullStr | Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows |
| title_full_unstemmed | Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows |
| title_short | Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows |
| title_sort | lattice ellipsoidal statistical bgk model for thermal non equilibrium flows |
| url | http://hdl.handle.net/1721.1/85579 https://orcid.org/0000-0002-1670-2264 |
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