Entropic lattice Boltzmann representations required to recover Navier-Stokes flows

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 3, 2007, Pages

  Keating, Brian ^a   Vahala, George ^a   Yepez, Jeffrey ^b   Soe, Min ^c   Vahala, Linda ^d  

^a Dept of Economics and Thomas Jefferson Program in Public Policy at the College of William and Mary   (United States)

^b AIR FORCE RESEARCH LABORATORY   (United States)

^c ROGERS STATE UNIVERSITY   (United States)

^d Old Dominion University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE BOLTZMANN FORM; DISCRETIZATION; NONEXTENSIVE TSALLIS ENTROPY; PRESSURE TENSOR MOMENT;

BOLTZMANN EQUATION; COMPUTER SIMULATION; ENTROPY; NAVIER STOKES EQUATIONS; STATISTICAL METHODS; TENSORS; THREE DIMENSIONAL;

FLOW OF FLUIDS;

EID: 34047156955     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.036712     Document Type: Article

References (20)

1. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Clarendon Press, Oxford, 2001), and references therein.
2. J. Carter, M. Soe, L. Oliker, Y. Tsuda, G. Vahala, L. Vahala, and A. Macnab (unpublished);
3. G. Vahala, J. Carter, M. Soe, J. Yepez, L. Vahala, and A. Macnab, in Parallel CFD 2005, edited by, A. Deane, (Elsevier, 2006).
4. I. V. Karlin, A. Ferrante, and H. C. Ottinger, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1999-00370-1 47, 182 (1999).
5. S. Ansumali and I. V. Karlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.7999 62, 7999 (2000).
6. S. Ansumali and I. V. Karlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.056312 65, 056312 (2002).
7. S. Ansumali, I. V. Karlin, and H. C. Ottinger, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00496-6 63, 798 (2003).
8. S. Ansumali and I. V. Karlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.260605 95, 260605 (2005).
9. S. S. Chikatamarla, S. Ansumali, and I. V. Karlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.010201 97, 010201 (2006).
10. B. M. Boghosian, J. Yepez, P. V. Coveney, and A. Wagner, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.2000.0689 457, 717 (2001).
11. B. M. Boghosian, P. J. Love, J. Yepez, and P. V. Coveney, Physica D PDNPDT 0167-2789 193, 169 (2004).
12. B. M. Boghosian, P. J. Love, P. V. Coveney, I. V. Karlin, S. Succi, and J. Yepez, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.025103 68, 025103 (R) (2003).
13. B. M. Boghosian, P. J. Love, and J. Yepez, Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 362, 1691 (2004).
14. Nonextensive Entropy, edited by, M. Gell-Mann, and, C. Tsallis, (Oxford University Press, Oxford, 2004);
15. C. Tsallis, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01016429 52, 479 (1988).
16. B. M. Boghosian, in Complexity, Metastability and Nonextensivity, edited by, C. Beck, G. Benedek, A. Rapisarda, and C. Tsallis (World Scientific, Singapore, 2005), pp. 185-193.
17. H. Chen, R. Zhang, I. Staroselsky, and M. Jhon, Physica A PHYADX 0378-4371 10.1016/j.physa.2005.09.008 362, 125 (2006).
18. M. Antoni and S. Ruffo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.2361 52, 2361 (1995).
19. S. Kida and Y. Murakami, Phys. Fluids PFLDAS 0031-9171 10.1063/1.866137 30, 2030 (1987).
20. B. M. Boghosian, P. J. Love, and J. Yepez, Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 362, 1667 (2004).