Diffusivity of two-component isothermal finite difference lattice boltzmann models

International Journal of Modern Physics C

Volumn 16, Issue 7, 2005, Pages 1075-1090

  Sofonea, Victor ^a,b   Sekerka, Robert F ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

Author keywords

Diffusivity; Finite difference schemes; Flux limiters; Lattice Boltzmann

Indexed keywords

EID: 30444435757     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183105007741     Document Type: Article

References (21)

1. D. A. Wolf-Gladrow, Lattice Gas Cellular Automata and Lattice Boltzmann Models (Springer-Verlag, Berlin, 2000).
2. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Clarendon Press, Oxford, 1998).
3. N. Cao, S. Chen, S. Jin and D. Martinez, Phys. Rev. E 55, R21 (1997).
4. R. Mei and W. Shyy, J. Comput Phys. 143, 426 (1998).
5. T. Seta, K. Kono, D. Martinez and S. Chen, JSME Int. J. Ser. B 43, 305 (2000).
6. T. H. Lee and C. L. Lin, J. Comput. Phys. 171, 336 (2001).
7. V. Sofonea and R. F. Sekerka, J. Comput. Phys. 184, 422 (2003).
8. B. Gustafsson, H. O. Kreiss and J. Oliger, Time Dependent Problems and Difference Methods (John Wiley and Sons, Inc., New York, 1995).
9. E. F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics, 2nd edn. (Springer-Verlag, Berlin, 1999).
10. R. J. LeVeque, Numerical Methods for Conservation Laws (Birkhäuser Verlag, Basel, 1992).
11. X. He and L. S. Luo, Phys. Rev. E 56, 6811 (1997).
12. V. Sofonea and R. F. Sekerka, Physica A 299, 494 (2001).
13. E. G. Flekkøy, Phys. Rev. E 47, 4247 (1993).
14. J. Crank, The Mathematics of Diffusion (Clarendon Press, Oxford, 1956).
15. E. Jahnke and F. Emde, Tables of Functions with Formulae and Curves, 4th edn. (Dover Publications, New York, 1945).
16. Y. Chen, S. Teng, T. Shukuwa and H. Ohashi, Int. J. Mod. Phys. C 9, 1383 (1998).
17. S. Teng, Y. Chen and H. Ohashi, Int. J. Heat and Fluid Flow 21, 112 (2000).
18. A. Cristea and V. Sofonea, Proc. Romanian Acad. Series A: Mathematics, Physics, Technical Sciences, Information Science 3, 59 (2003).
19. A. Cristea and V. Sofonea, Central European J. Phys. 2, 382 (2004).
20. V. Sofonea, A. Lamura, G. Gonnella and A. Cristea, Phys. Rev. E 70, 046702 (2004).
21. S. Balay, K. Buschelman, V. Eijkhout, W. Gropp, D. Kaushik, M. Knepley, L. C. McInnes, B. Smith and H. Zhang, PETSc Users Manual (Technical Report ANL-95/11 - Revision 2.2.1, Argonne National Laboratory, 2004, http://www.mcs.anl.gov/petsc).