3D pulsatile flow with the lattice Boltzmann BGK method

International Journal of Modern Physics C

Volumn 13, Issue 8, 2002, Pages 1119-1134

  Artoli, A M ^a   Hoekstra, A G ^a   Sloot, P M A ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Curved boundary; Lattice Boltzmann method; Unsteady flow; Womersley solution

Indexed keywords

EID: 0036819476     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183102003826     Document Type: Article

References (27)

1. M. Krafczyk, M. Cerrolaza, M. Schulz, and E. Rank, J. Biomechanics 31, 453 (1998).
2. D. Kandhai, A. Koponen, A.G. Hoekstra, M. Kataja, J. Timonen, and P.M.A. Sloot, Comp. Phys. Com. 111, 14 (1998).
3. X. He, Q. Zou, L.S. Luo, and M. Dembo, J. Stat. Phys. 87, 115 (1996).
4. S. Hou, Q. Zou, S. Chen, G. Doolen, and A.C. Cogley, J. Comp. Phys. 118, 118 (1995).
5. A.M. Artoli, D. Kandhai, H.C.J. Hoefsloot, A.C. Hoekstra, and P.M.A. Sloot, "Accuracy of the stress tensor in lattice Boltzmann BGK simulations," submitted to international Conference on Computational Science, Saint Petersburg, Russian Federation and Melbourne, Australia, June 2003.
6. X. He and L.-S. Luo, J. Stat. Phys. 88, 927 (1997).
7. Y.C. Fung, Biomechanics: Circulation, 2nd edition (Springer, 1997), 192pp.
8. D. Wootton and D.N. Ku, Annu. Rev. Biomed. Eng. 1, 299 (1999).
9. D.A. Vorp, D.A. Steinman, and C.R. Ethier. Comput. Sci. Eng. 3(5), 51 (2001).
10. A.J.C. Ladd, J. Fluid Mech. 271, 285 (1994).
11. F. Higuera and J. Jimenez, Europhys. Lett. 9, 663 (1989).
12. X. He and L. Luo, Phys. Rev. E 56, 6811 (1997).
13. P.L. Bhatnagar, E.P. Gross, and M. Krook, Phys. Rev. A 94, 511 (1954).
14. F. Higuera, S. Succi, and R. Benzi, Europhys. Lett. 9, 345 (1989).
15. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Oxford University Press, 2001).
16. R. Benzi, S. Succi, and M. Vergassola, Phys. Rep. 222(3), 145 (1992).
17. S. Chen and G. Doolen, Annu. Rev. Fluid Mech. 30, 329 (1998).
18. B. Chopard and M. Droz, Cellular Automata Modeling of Physical Systems (Cambridge University Press, 1998).
19. Q. Zou, S. Hou, S. Chen, and G.D. Doolen, J. Stat. Phys. 81, 35 (1995).
20. Z. Guo, B. Shi, and N. Wang, J. Comp. Phys. 165, 288 (2000).
21. M. Bouzidi, M. Firdouss, and P. Lallemand, Phys. Fluids 13(11), 3452 (2001).
22. C. Pozrikidis, Introduction to Theoretical and Computational Fluid Dynamics (Oxford University Press, 1997).
23. Q. Zou and X. He, Phys. Fluids 9, 1591 (1997).
24. W.H. Mattheus, Bartol Research Instituter University of Delware, personal communication; International Conference on Discrete Simulation of Fluid Dynamics (Cargese, July, 2001).
25. R. Mei, L.S. Luo, and W. Shyy, J. Comp. Phys. 155, 307 (1999).
26. X. He, X. Shan, and G. Doolen, Phys. Rev. E 57, R13 (1998).
27. L.-S. Luo, Phys. Rev. E 62, 4982 (2000).