Entropic lattice Boltzmann methods

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 457, Issue 2007, 2001, Pages 717-766

  Boghosian, Bruce M ^a   Yepez, Jeffrey ^b   Coveney, Peter V ^c   Wager, Alexander ^d  

^a TUFTS UNIVERSITY   (United States)

^b AIR FORCE RESEARCH LABORATORY   (United States)

^c QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^d Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Computational fluid dynamics; Entropy; Hydrodynamics; Lattice Boltzmann equation; Numerical stability; Thermodynamics

Indexed keywords

EID: 57249090292     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2000.0689     Document Type: Article

References (34)

1. Alexander, F. J., Garcia, A. L. & Alder, B. J. 1995 Phys. Rev. Lett. 74, 5212-5215.
2. Benzi, R., Succi, S. & Vergassola, M. 1992 Phys. Rep. 222, 145.
3. Boghosian, B. M. 1989 The Chapman-Enskog method for lattice gases. In 1989 lectures in complex systems (ed. E. Jen). Santa Fe Institute, Addison-Wesley Longman.
4. Boghosian, B. M. & Coveney, P. V. 1998 Int. J. Mod. Phys. C9, 1231-1246.
5. Boghosian, B. M. & Coveney, P. V. 2000 Comp. Phys. Commun. 129, 46-55.
6. Boghosian, B. M., Coveney, P. V. & Emerton, A. N. 1996 Proc. R. Soc. Lond. A 452, 1221-1250.
7. Boghosian, B. M., Coveney, P. V. & Love, P. J. 2000 Proc. R. Soc. Lond. A 456, 1431-1454.
8. Chen, H. & Teixeira, C. 2000 Comp. Phys. Commun. 129, 21-31.
9. Courant, R., Friedrichs, K. & Lewy, H. 1928 Math. Ann. 100, 32.
10. Crank, J. & Nicolson, P. 1947 Proc. Camb. Phil. Soc. 43, 50-67.
11. d'Humières, D. 1992 AIAA rarefied gas dynamics: theory and applications. In Progress in astronautics and aeronautics, vol. 159, pp. 450-458. New York: AIAA.
12. DuFort, E. C. & Frankel, S. P. 1953 Math. Tables Aids Comput. 7, 135-152.
13. Frisch, U., Hasslacher, B. & Pomeau, Y. 1986 Phys. Rev. Lett. 56, 1505.
14. Frisch, U., d'Humières, D., Hasslacher, B., Lallemand, P., Pomeau, Y. & Rivet, J.-P. 1987 Complex Syst. 1, 648.
15. Gross, E., Bhatnager, D. & Krook, M. 1954 Phys. Rev. 94, 511.
16. Hénon, M. 1987 Complex Syst. 1, 763.
17. Higuera, F. & Jimenez, J. 1989 Europhys. Lett. 9, 663.
18. Higuera, F., Succi, S. & Benzi, R. 1989 Europhys. Lett. 9, 345.
19. Karlin, I. V. 1998 Phys. Rev. Lett. 81, 6.
20. Karlin, I. V., Ferrante, A. & Öttinger, H. C. 1999 Europhys. Lett. 47, 182-188.
21. McNamara, G. & Zanetti, G. 1989 Phys. Rev. Lett. 61, 2332.
22. McNamara, G. R., Garcia, A. L. & Alder, B. J. 1997 J. Statist. Phys. 87, 1111-1121.
23. Martys, N. 1999 Int. J. Mod. Phys. C10, 1367-1382.
24. Peaceman, D. W. & Rachford Jr, H. H. 1955 J. Soc. Ind. Appl. Math. 3, 28.
25. Qian, Y.-H., d'Humières, D. & Lallemand, P. 1992 Europhys. Lett. 17, 479-484.
26. Renda, A., Bella, G., Succi, S. & Karlin, I. V. 1998 Europhys. Lett. 41, 279-283.
27. Rothman, D. H. & Zaleski, S. 1997 Lattice-gas automata: simple models of complex hydrodynamics. Cambridge University Press.
28. Schechter, M. 1998 Am. Math. Monthly 105, 246-251.
29. Shan, X. & Chen, H. 1993 Phys. Rev. E 47, 1815-1819.
30. Succi, S., Benzi, R. & Higuera, F. 1991 Physica D 47, 219-230.
31. Swift, M. R., Osborn, W. R. & Yeomans, J. M. 1995 Phys. Rev. Lett. 75, 830-833;
32. Swift, M. R., Orlandini, S. E., Osborn, W. R. & Yeomans, J. M. 1996 Phys. Rev. E54, 5041-5052.
33. Wagner, A. J. 1998 Europhys. Lett. 44, 144-149.
34. Wolfram, S. 1986 J. Statist. Phys. 45, 471.