Relationship between accuracy and number of velocity particles of the finite-difference lattice Boltzmann method in velocity slip simulations

Journal of Fluids Engineering, Transactions of the ASME

Volumn 132, Issue 10, 2010, Pages

  Watari, Minoru ^a  

^a LBM Fluid Dynamics Laboratory   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

2-D MODEL; CONSERVATION OF MOMENTUM; D2Q9 MODEL; FINITE DIFFERENCE; FLOW AREA; KNUDSEN LAYER; LATTICE BOLTZMANN METHOD; MOVING PARTICLES; NUMERICAL SIMULATION; VELOCITY SLIPS;

GEOMETRY; NAVIER STOKES EQUATIONS; RELAXATION PROCESSES; VELOCITY;

COMPUTER SIMULATION;

EID: 79951982853     PISSN: 00982202     EISSN: 1528901X     Source Type: Journal    
DOI: 10.1115/1.4002359     Document Type: Article

References (30)

1. Lim, C. Y., Shu, C., Niu, X. D., and Chew, Y. T., 2002, "Application of Lattice Boltzmann Method to Simulate Microchannel Flows," Phys. Fluids, 14 (7), pp. 2299-2308. (Pubitemid 34805737)
2. Nie, X., Doolen, G. D., and Chen, S., 2002, "Lattice-Boltzmann Simulations of Fluid Flows in MEMS," J. Stat. Phys., 107, pp. 279-289. (Pubitemid 37133854)
3. Ansumali, S., and Karlin, I. V., 2002, "Kinetic Boundary Conditions in the Lattice Boltzmann Method," Phys. Rev. E, 66, p. 026311.
4. Sbragaglia, M., and Succi, S., 2005, "Analytical Calculation of Slip Flow in Lattice Boltzmann Models With Kinetic Boundary Conditions," Phys. Fluids, 17, p. 093602.
5. Tang, G. H., Tao, W. Q., and He, Y. L., 2005, "Lattice Boltzmann Method for Gaseous Microflows Using Kinetic Theory Boundary Conditions," Phys. Fluids, 17, p. 058101.
6. Zhang, Y., Qin, R., and Emerson, D. R., 2005, "Lattice Boltzmann Simulation of Rarefied Gas Flows in Microchannels," Phys. Rev. E, 71, p. 047702.
7. Sofonea, V., and Sekerka, R. F., 2005, "Diffuse-Reflection Boundary Conditions for a Thermal Lattice Boltzmann Model in Two Dimensions: Evidence of Temperature Jump And Slip Velocity in Microchannels," Phys. Rev. E, 71, p. 066709.
8. Sofonea, V., and Sekerka, R. F., 2005, "Boundary Conditions for the Upwind Finite Difference Lattice Boltzmann Model: Evidence of Slip Velocity in Micro-Channel Flow," J. Comput. Phys., 207, pp. 639-659. (Pubitemid 40696986)
9. Niu, X. D., Hyodo, S. A., Munekata, T., and Suga, K., 2007, "Kinetic Lattice Boltzmann Method for Microscale Gas Flows: Issues on Boundary Condition, Relaxation Time, and Regularization," Phys. Rev. E, 76, p. 036711.
10. Zhang, R., Shan, X., and Chen, H., 2006, "Efficient Kinetic Method for Fluid Simulation Beyond the Navier-Stokes Equation," Phys. Rev. E, 74, p. 046703.
11. Guo, Z., Zheng, C., and Shi, B., 2008, "Lattice Boltzmann Equation With Multiple Effective Relaxation Times for Gaseous Microscale Flow," Phys. Rev. E, 77, p. 036707.
12. Chen, Y., Ohashi, H., and Akiyama, M., 1994, "Thermal Lattice Bhatnagar- Gross-Krook Model Without Nonlinear Deviations in Macrodynamic Equations," Phys. Rev. E, 50, pp. 2776-2783.
13. Watari, M., and Tsutahara, M., 2004, "Possibility of Constructing a Multispeed Bhatnagar-Gross-Krook Thermal Model of the Lattice Boltzmann Method," Phys. Rev. E, 70, p. 016703.
14. Watari, M., 2009, "Velocity Slip and Temperature Jump Simulations by the Three-Dimensional Thermal Finite-Difference Lattice Boltzmann Method," Phys. Rev. E, 79, p. 066706.
15. Watari, M., and Tsutahara, M., 2006, "Supersonic Flow Simulations by a Three-Dimensional Multispeed Thermal Model of the Finite Difference Lattice Boltzmann Method," Physica A, 364, pp. 129-144.
16. Watari, M., and Tsutahara, M., 2003, "Two-Dimensional Thermal Model of the Finite-Difference Lattice Boltzmann Method With High Spatial Isotropy," Phys. Rev. E, 67, p. 036306.
17. Qian, Y. H., D'Humieres, D., and Lallemand, P., 1992, "Lattice BGK Models for Navier-Stokes Equation," Europhys. Lett., 17 (6), pp. 479-484.
18. Maxwell, J. C., 1879, "On Stresses in Rarefied Gases Arising From Inequalities of Temperature," Philos. Trans. R. Soc. London, 170, pp. 231-256.
19. Kennard, E. H., 1938, Kinetic Theory of Gases, McGraw-Hill, New York.
20. Albertoni, S., Cercignani, C., and Gotusso, L., 1963, "Numerical Evaluation of the Slip Coefficient," Phys. Fluids, 6, pp. 993-996.
21. Sone, Y., 1964, "Kinetic Theory Analysis of Linearized Rayleigh Problem," J. Phys. Soc. Jpn., 19 (8), pp. 1463-1473.
22. Tamada, K., and Sone, Y., 1966, "Some Studies on Rarefied Gas Flows," J. Phys. Soc. Jpn., 21 (7), pp. 1439-1445.
23. Sone, Y., 1969, "Asymptotic Theory of Flow of Rarefied Gas Over a Smooth Boundary I," Rarefied Gas Dynamics, L. Trilling and H. Y. Wachman, eds., Academic Press, New York, pp. 243-253.
24. Sone, Y., 1966, "Some Remarks on Knudsen Layer," J. Phys. Soc. Jpn., 21, pp. 1620-1621.
25. Onishi, Y., 1974, "Effects of Accommodation Coefficient on Shear Flow of Rarefied Gas," Trans. Jpn. Soc. Aeronaut. Space Sci., 17, pp. 93-98.
26. Sone, Y., and Aoki, K., 1994, Molecular Gas Dynamics, Asakura, Tokyo, in Japanese.
27. Aoki, K., 2001, "Dynamics of Rarefied Gas Flows: Asymptotic and Numerical Analyses of the Boltzmann Equation," 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 8-11, AIAA Paper No. 2001-0874.
28. Sone, Y., 2002, Kinetic Theory and Fluid Dynamics, Birkhäuser, Boston.
29. Hochstadt, H., 1963, Differential Equations: A Modern Approach, Holt, Rinehart and Winston, New York.
30. Ohwada, T., Sone, Y., and Aoki, K., 1989, "Numerical Analysis of the Shear and Thermal Creep Flows on a Rarefied Gas Over a Plane Wall on the Basis of the Linearized Boltzmann Equation for Hard-Sphere Molecules," Phys. Fluids A, 1 (9), pp. 1588-1599.