Grid refinement in lattice Boltzmann methods based on volumetric formulation

Physica A: Statistical Mechanics and its Applications

Volumn 362, Issue 1, 2006, Pages 158-167

  Chen, H ^a   Filippova, O ^a   Hoch, J ^a   Molvig, K ^b   Shock, R ^a   Teixeira, C ^c   Zhang, R ^a  

^a EXA CORPORATION   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c Information Systems Laboratories Inc   (United States)

Author keywords

Conservation laws; Grid refinement; Lattice Boltzmann methods; Numerical accuracy

Indexed keywords

ALGORITHMS; NUMERICAL METHODS; VOLUMETRIC ANALYSIS;

CONSERVATION LAWS; GRID REFINEMENT; LATTICE BOLTZMANN METHODS; NUMERICAL ACCURACY;

FLUID DYNAMICS;

EID: 31944443407     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.09.036     Document Type: Article

References (16)

1. S. Chen, H. Chen, D. Martinez, and W. Matthaeus Phys. Rev. Lett. 67 1991 3776
2. H. Chen, S. Chen, and W. Matthaeus Phys. Rev. A 45 1992 R5339
3. F. Higuera, S. Succi, and R. Benzi Europhys. Lett. 9 1989 345
4. F. Higuera, and J. Jimenez Europhys. Lett. 9 1989 663
5. Y.H. Qian, D. d'Humieres, and P. Lallemand Europhys. Lett. 17 6 1992 479
6. F. Nannelli, and S. Succi J. Stat. Phys. 68 N3/4 1992 401
7. X. He, L.-S. Luo, and M. Dembo J. Comput. Phys. 129 1996 357
8. Kim Molvig, et al., Particle interaction processing system, Patent 5,377,129, 1994.
9. H. Chen Phys. Rev. E 58 3 1998 3955
10. O. Filippova, and D. Hänel J. Comput. Phys. 147 1998 219
11. M. Rohde, Extending the Lattice-Boltzmann method, Dissertation, TU Delft, 2004.
12. A. Dupius, and B. Chopard Phys. Rev. E 67 2003 066707
13. M. Pervaiz, C.M. Teixeira, Proceedings of ASME PVP Division Conference: Second International Symposium on Computation Technology for Fluid/Thermal/Chemical Systems with Industrial Applications, August 1-5, 1999, Boston, MA, USA.
14. K. Uchida, K. Okumura, SAE Technical Paper Series 1999-01-1127.
15. R.A. Shock, S. Mallick, H. Chen, V. Yakhot, and R. Zhang J. Aircraft 39 3 2002
16. M. Schaefer, and S. Turek Notes in Numerical Fluid Mechanics Vieweg Verlag, Braunschweig 52 1996 547