Simulation of binary mixtures with the lattice Boltzman method

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

Volumn 74, Issue 5, 2006, Pages

  Arcidiacono, S ^a   Mantzaras, J ^a   Ansumali, S ^b   Karlin, I V ^c   Frouzakis, C ^c   Boulouchos, K B ^c  

^a PAUL SCHERRER INSTITUTE   (Switzerland)

^b Nanyang Technological University   (Singapore)

^c ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; HYDRODYNAMICS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS;

ELEMENT CODE; MAXWELL BINARY DIFFUSION EQUATIONS; MOLECULAR MASS RATIO; SCHMIDT NUMBERS;

BINARY MIXTURES;

EID: 33751359295     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.056707     Document Type: Article

References (26)

1. F. J. Higuera, S. Succi, and R. Benzi, Europhys. Lett. EULEEJ 0295-5075 9, 345 (1989).
2. Y. H. Qian, D. d'Humieres, and P. Lallemand, Europhys. Lett. EULEEJ 0295-5075 17, 479 (1992).
3. I. V. Karlin, A. N. Gorban, S. Succi, and V. Boffi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.6 81, 6 (1998).
4. S. Ansumali and I. V. Karlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.056312 65, 056312 (2002).
5. S. Ansumali, I. V. Karlin, and H. C. Öttinger Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00496-6 63, 798 (2003).
6. S. Ansumali and I. V. Karlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.260605 95, 260605 (2005).
7. I. V. Karlin, A. Ferrante, and H. C. Ottinger, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1999-00370-1 47, 182 (1999).
8. A. N. Gorban and I. V. Karlin, Invariant Manifolds for Physical and Chemical Kinetics (Springer, Berlin, 2005).
9. P. Asinari, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1927567 17, 067102 (2005).
10. P. Andries, K. Aoki, and B. Perthame, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1014033703134 106, 993 (2002).
11. M. E. McCracken and J. Abraham, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.046704 71, 046704 (2005).
12. S. Arcidiacono, S. Ansumali, I. V. Karlin, J. Mantzaras, and K. B. Boulouchos, Math. Comput. Simul. MCSIDR 0378-4754 10.1016/j.matcom.2006.05.005 72, 79 (2006).
13. S. Ansumali and I. V. Karlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.056312 65, 056312 (2002).
14. A. N. Gorban and I. V. Karlin, Physica A PHYADX 0378-4371 10.1016/0378-4371(94)90314-X 206, 401 (1994).
15. C. D. Levermore, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02179552 83, 1021 (1996).
16. F. Williams, Combustion Theory (Benjamin/Cumming, California, 1986).
17. L. S. Luo and S. S. Girimaji, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.036302 67, 036302 (2003).
18. H. R. Wu, Y. L. He, G. H. Tang, and W. Q. Tao, Progr. Comput. Fluid Dyn. PCFDAB 1468-4349 5, 97 (2005).
19. S. S. Chikatamarla, S. Ansumali, and I. V. Karlin, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10535-x 74, 215 (2006).
20. F. P. Incropera and D. P. DeWitt, Fundamentals of Heat and Mass Transfer (Wiley, New York, 2002).
21. M. E. McCracken and J. Abraham, Int. J. Mod. Phys. E IMPEER 0218-3013 16, 533547 (2005).
22. G. L. Brown and A. Roshko, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S002211207400190X 64, 775 (1974).
23. A. Öztekin, L. J. Cumbo, and A. Liakopoulos, Theor. Comput. Fluid Dyn. TCFDEP 0935-4964 13, 77 (1999).
24. P. Huerre and P. A. Monkewitz, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112085003147 159, 151 (1985).
25. G. E. Karniadakis, M. Israeli, and S. A. Orszag, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(91)90007-8 97, 414 (1991).
26. P. F. Fischer and H. M. Tufo, High-performance Spectral Element Algorithms and Implementations in Parallel Computational Fluid Dynamics: Towards Teraflops, Optimization and Novel Formulations, A. Ecer, N. Satofuka, P. Fox, and, J. Periaux, (North-Holland, Amsterdam, 2000), pp. 17-26.