Simulation of flows around an impulsively started circular cylinder by Taylor series expansion- and least squares-based lattice Boltzmann method

Journal of Computational Physics

Volumn 188, Issue 1, 2003, Pages 176-193

  Niu, X D ^a   Chew, Y T ^a   Shu, C ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Circular cylinder; Explicit method; Incompressible flow; Lattice Boltzmann equation; Least square approach; Taylor series expansion

Indexed keywords

BOLTZMANN EQUATION; CIRCULAR CYLINDERS; DISTRIBUTION FUNCTIONS; LEAST SQUARES APPROXIMATIONS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; REYNOLDS NUMBER; TAYLOR SERIES; VISCOUS FLOW;

DISTRIBUTION-FUNCTIONS; EXPLICIT FORM; EXPLICIT METHOD; LATTICE BOLTZMANN EQUATIONS; LEAST-SQUARE-BASED LATTICE BOLTZMANN METHODS; LEAST-SQUARES APPROACH; MESH STRUCTURES; REYNOLD NUMBER; TAYLOR'S SERIES EXPANSION; TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOW;

INCOMPRESSIBLE FLOW;

EID: 0038346433     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00161-X     Document Type: Article

References (30)

1. H. Blasius, Z. Angew. Math. Phys. 56 (1908) 1.
2. S. Goldstein, L. Rosenhead, Proc. Camb. Philos. Soc. 32 (1936) 392.
3. C.Y. Wang, J. Math. Phys. 46 (1967) 195.
4. W.M. Collins, S.C.A. Dennis, Q. J. Mech. Appl. Math. 26 (1973) 53.
5. W.M. Collins, S.C. Dennis, J. Fluid Mech. 60 (1973) 105.
6. M. Bar-Lev, H.T. Yang, J. Fluid Mech. 72 (1975) 625.
7. H. Honji, S. Taneda, J. Phys. Soc. Jpn. 27 (1969) 1968.
8. S. Taneda, Recent Research on unsteady Boundary Layer, vol. 2, Quebec Laval University, 1972.
9. M. Coutanceau, R. Bouard, J. Fluid Mech. 79 (1977) 231.
10. M. Coutanceau, R. Bouard, J. Fluid Mech. 79 (1977) 257.
11. R. Bouard, M. Coutanceau, J. Fluid Mech. 101 (1980) 583.
12. V.A. Payen, J. Fluid Mech. 4 (1958) 81.
13. T.P. Loc, J. Fluid Mech. 100 (1980) 111.
14. T.P. Loc, R. Bouard, J. Fluid Mech. 160 (1985) 93.
15. C.-C. Chang, R.-L. Chern, J. Fluid Mech. 233 (1991) 243.
16. P.K. Koumoutsakos, A. Leonard, J. Fluid Mech. 296 (1995) 1.
17. S. Chen, Z. Wang, X. Shan, G.D. Doolen, J. Statist. Phys. 68 (1992) 379.
18. L.-S. Luo, Int. J. Mod. Phys. C 8 (1997) P859.
19. X. He, G.D. Doolen, J. Comp. Phys. 134 (1997) 306.
20. R. Mei, W. Shyy, J. Comp. Phys. 143 (1998) 426.
21. Y. Chen, H. Ohashi, M. Akiyama, JSME Int. J. Ser. B 40 (1997) 25.
22. Q. Zou, X. He, Phys. Fluids 9 (1997) 1591.
23. G. Peng, H. Xi, C. Duncan, S.H. Chou, Phys. Rev. E 59 (1999) 4675.
24. M. Su, K. Xu, M.S. Ghidaoui, J. Comp. Phys. 150 (1999) 17.
25. S. Hou, Q. Zou, S. Chen, G.D. Doolen, G. Cogley, J. Comp. Phys. 118 (1995) 329.
26. C. Shu, X.D. Niu, Y.T. Chew, Phys. Rev. E. 65 (2002), 036708-13.
27. L.F. Shampine, Numerical Solution of Ordinary Differential Equations, Chapman&Hall, New York, 1994.
28. L. James, Buchanan, P.R. Turner, Numerical Methods and Analysis, McGraw-Hill, New York, 1992.
29. S.C.R. Dennis, G.Z. Chang, J. Fluid Mech. 42 (1970) 471.
30. B. Fornberg, J. Fluid Mech. 98 (1980) 819.