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LATTICE BOLTZMANN METHOD WITH OPTIMIZED BOUNDARY LAYER AT FINITE KNUDSEN NUMBERS

LAJOS SZALMÁS

Department of Physics, University of Rome "La Sapienza", 2 Piazzale Aldo Moro, 00185 Rome, Italy

Accademia d'Ungheria, Via Giulia 1, 00186 Roma, Italy

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https://doi.org/10.1142/S0129183108012078Cited by:1 (Source: Crossref)

Abstract

We present an optimization procedure in high-order lattice Boltzmann models in order to fine-tune the method for micro-channel flows in the transition region. Both the first and second slip coefficients are tunable, and the hydrodynamic and Knudsen layer solutions can be tailored. Very good results are obtained in comparison with the continuous solution for hard sphere molecules. For the first time, we provide an accurate description of Poiseuille flow in the transition region.

Keywords:

PACS: 05.20.Dd, 47.11.-j

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References

R. Benzi, S. Succi and M. Vergassola, Phys. Rep. 222, 145 (1992), DOI: 10.1016/0370-1573(92)90090-M. Crossref, Web of Science, ADS, Google Scholar
S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. 30, 329 (1998), DOI: 10.1146/annurev.fluid.30.1.329. Crossref, Web of Science, ADS, Google Scholar
C. Y. Limet al., Phys. Fluids 14, 2299 (2002), DOI: 10.1063/1.1483841. Crossref, Web of Science, ADS, Google Scholar
L. Szalmás, Physica A 379, 401 (2007). Crossref, Web of Science, ADS, Google Scholar
M. Sbragaglia and S. Succi, Phys. Fluids 17, 093601 (2005), DOI: 10.1063/1.2044829. Google Scholar
S. Ansumali and I. V. Karlin, Phys. Rev. E 66, 026311 (2002), DOI: 10.1103/PhysRevE.66.026311. Crossref, Web of Science, Google Scholar
R. Benziet al., J. Fluid. Mech. 548, 257 (2006), DOI: 10.1017/S0022112005007512. Crossref, Web of Science, ADS, Google Scholar
S. Succi, Phys. Rev. Lett. 89, 064502 (2002), DOI: 10.1103/PhysRevLett.89.064502. Crossref, Web of Science, Google Scholar
C. E. Siewert, Z. angew. Math. Phys. 54, 273 (2003). Crossref, Web of Science, Google Scholar
L. B. Barichelloet al., Z. angew. Math. Phys. 52, 517 (2001), DOI: 10.1007/PL00001559. Crossref, Web of Science, Google Scholar
L. Szalmás, Physica A 380, 36 (2007). Crossref, Web of Science, ADS, Google Scholar
L. Szalmás, Europhys. Lett. 80, 24003 (2007). Crossref, Google Scholar
G. H. Tang, W. Q. Tao and Y. L. He, Phys. Fluids 17, 058101 (2005), DOI: 10.1063/1.1897010. Crossref, Web of Science, Google Scholar
T. Ohwada, Y. Sone and K. Aoki, Phys. Fluids 1, 2042 (1989). Crossref, Web of Science, Google Scholar
T. Ohwada, Y. Sone and K. Aoki, Phys. Fluids 9, 1588 (1989). ADS, Google Scholar

Journal cover image

Vol. 19, No. 02

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History

Received 19 September 2007

Accepted 8 October 2007

Keywords