A lattice Boltzmann algorithm for calculation of the laminar jet diffusion flame

Journal of Computational Physics

Volumn 215, Issue 1, 2006, Pages 133-152

  Lee, Taehun ^a   Lin, Ching Long ^a   Chen, Lea Der ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

Laminar diffusion flame; Lattice Boltzmann equation; Quasi incompressible flow; TVD scheme

Indexed keywords

ADVECTION; BOLTZMANN EQUATION; COMPUTATIONAL FLUID DYNAMICS; DIFFUSION; MACH NUMBER; NAVIER STOKES EQUATIONS; VISCOUS FLOW;

COUPLING FUNCTIONS; DISTRIBUTION MODELS; INCOMPRESSIBLE (NAVIER )STOKES EQUATION; INCOMPRESSIBLE MODEL; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; LAMINAR DIFFUSION FLAMES; LATTICE BOLTZMANN ALGORITHMS; LATTICE BOLTZMANN EQUATIONS; QUASI-INCOMPRESSIBLE FLOW; TOTAL VARIATION DIMINISHING SCHEME;

INCOMPRESSIBLE FLOW;

EID: 33645853186     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.10.021     Document Type: Article

References (38)

1. Chen S., and Doolen G.D. Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 30 (1998) 329
2. Nie X., Doolen G.D., and Chen S. Lattice-Boltzmann simulations of fluid flows in MEMS. J. Stat. Phys. 107 (2002) 279
3. Succi S., Bella G., and Papetti F. Lattice kinetic theory for numerical combustion. J. Sci. Comput. 12 4 (1997) 395
4. Yamamoto K., He X., and Doolen G.D. Simulation of combustion field with lattice Boltzmann method. J. Stat. Phys. 107 (2002) 367
5. Zou Q., Hou S., Chen S., and Doolen G.D. An improved incompressible lattice Boltzmann model for time-independent flows. J. Stat. Phys. 81 (1995) 35
6. He X., and Luo L.-S. Lattice Boltzmann model for the incompressible Navier-Stokes equation. J. Stat. Phys. 88 (1997) 927
7. Filippova O., and Hänel D. Lattice-BGK model for low Mach number combustion. Int. J. Mod. Phys. C 9 8 (1998)
8. Filippova O., and Hänel D. A novel lattice BGK approach for low Mach number combustion. J. Comput. Phys. 158 (2000) 139
9. Qian Y.-H., d'Humieres D., and Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 17 (1992) 479
10. Sheu J.-C., and Chen L.-D. Higher-order numerical model for simulation of time-dependent variable-density flows. AIAA 34 (1996) 2090
11. He X., Shan X., and Doolen G.D. A discrete Boltzmann equation model for non-ideal gases. Phys. Rev. E 57 (1998) R13
12. He X., Chen S., and Zhang R. A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability. J. Comput. Phys. 152 (1999) 642
13. Day M.S., and Bell J.B. Numerical simulation of laminar reacting flows with complex chemistry. Combust. Theory Modelling 4 4 (2000) 535
14. Lowengrub J., and Truskinovsky L. Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Proc. R. Soc. Lond. A 454 (1998) 2617
15. Lee T., and Lin C.-L. A pressure evolution lattice Boltzmann equation method for two-phase flow with phase change. Phys. Rev. E 67 (2003) 056703
16. Lax P.D., and Wendroff B. Systems of conservation laws. Commun. Pure Appl. Math. 13 (1960) 217
17. McNamara G.R., Garcia A.L., and Alder B.J. Stabilization of thermal lattice Boltzmann models. J. Stat. Phys. 81 (1995) 395
18. Zhang R., Chen H., Qian Y.H., and Chen S. Effective volumetric lattice Boltzmann scheme. Phys. Rev. E 63 (2001) 056705
19. Lee T., and Lin C.-L. An Eulerian description of the streaming process in the lattice Boltzmann equation. J. Comput. Phys. 185 2 (2003) 445
20. Warming R.F., and Beam R.W. Upwind second order difference schemes and applications in aerodynamic flows. AIAA J. 24 (1976) 1241
21. Van Leer B. Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second order scheme. J. Comput. Phys. 14 (1974) 361
22. Hirsch C. Numerical Computation of Internal and External Flows vol. II (1990), Wiley, New York
23. Teng S., Chen Y., and Ohashi H. Lattice Boltzmann simulation of multiphase fluid flows through the total variation diminishing with artificial compression scheme. Int. J. Heat Fluid Flow 21 (2000) 112
24. P.L. Roe, Generalized formulation of TVD Lax-Wendroff schemes, ICASE Report 84-53, NASA CR-172478, NASA Langley Research Center, 1984.
25. Turns S.R. An Introduction to Combustion (2000), McGraw-Hill, New York
26. Bilger R.W. Turbulent jet diffusion flames. Prog. Energy Combust. Sci. 1 (1976) 87
27. Chen L.-D., Roquemore W.M., Goss L.P., and Vilimpoc V. Vorticity generation in jet diffusion flames. Combust. Sci. Tech. 177 (1991) 41
28. Qian Y.-H., and Chen S.-Y. Dissipative and dispersive behavior of lattice-based models for hydrodynamics. Phys. Rev. E 61 (2000) 2712
29. Dawson S.P., Chen S., and Doolen G.D. Lattice Boltzmann computations for reaction-diffusion equations. J. Chem. Phys. 98 (1993) 15
30. Lee T., and Lin C.-L. A stable discretization of the lattice Boltzmann equation method for simulation of incompressible two-phase flows at high density ratio. J. Comput. Phys. 206 (2005) 16
31. Burke S.P., and Schumann T.E.W. Diffusion flames. Ind. Eng. Chem. 20 (1928) 998
32. Roper F.G. The prediction of laminar jet diffusion flame sizes: part I. Theoretical model. Combust. Flame 21 (1977) 681
33. Buckmaster J. The infinite candle and its stability-a paradigm for flickering diffusion flames. Twenty-First Symposium on Combustion (1986), The Combustion Institute 1829
34. Chen L.-D., Seaba J.P., Roquemore W.M., and Goss L.P. Buoyant diffusion flames. Twenty-Second Symposium on Combustion (1988), The Combustion Institute 677
35. Sato F., Amagai K., and Arai M. Diffusion flames and their flickering motions related with Froude numbers under various gravity levels. Combust. Flame 123 (2000) 107
36. Chen L.-D., Vilimpoc V., Goss L.P., Davis R.W., and Moore E.F. The evolution of a buoyant jet diffusion flame. Twenty-Fourth Symposium on Combustion (1992), The Combustion Institute 303
37. d'Humières D., Ginzburg I., Krafczyk M., Lallemand P., and Luo L.-S. Multiple-relaxation-time lattice Boltzmann models in three dimensions. Philos. Trans. R. Soc. Lond. A 360 (2002) 437
38. Zienkiewicz O.C., and Taylor R.L. The Finite Element Method (1991), McGraw-Hill, New York