Applying the Lattice Boltzmann equation to multiscale fluid problems

Computing in Science and Engineering

Volumn 3, Issue 6, 2001, Pages 26-37

  Succi, Sauro ^a,b   Filippova, Olga ^c   Smith, Greg ^d   Kaxiras, Efthimios ^e  

^a Natl Res Cncl's Inst Appl Comp   (Italy)

^b CNR   (Italy)

^c UNIVERSITY OF DUISBURG ESSEN   (Germany)

^d CITY UNIVERSITY OF NEW YORK   (United States)

^e HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035503363     PISSN: 15219615     EISSN: None     Source Type: Journal    
DOI: 10.1109/5992.963425     Document Type: Article

References (35)

1. W. Hoover, A.J. de Groot, and C. Hoover, "Massively Parallel Computer Simulation of the Plane-Strain Elastic-Plastic Flow via Non-Equilibrium Molecular Dynamics and Lagrangian Continuum Mechanics," Computers in Physics, vol. 6, no. 2, Mar./Apr. 1992, pp. 155-167.
2. E. Salomons and Mareschal, "Usefulness of the Burnett Description of Strong Shock Waves," Physical Rev. Letters, vol. 69, no. 2, July 1992, pp. 269-272.
3. S.T. O'Connell and P. Thompson, "Molecular Dynamics-Continuum Hybrid Computations: A Tool for Studying Complex Fluid Flows," Physical Rev. E, vol. 52, no. 6, Dec. 1995, pp. R5792-R5795.
4. F.F. Abraham et al., "Spanning the Length Scales in Dynamic Simulation," Computers in Physics, vol. 12, no. 6, Nov./Dec. 1998, pp. 538-546.
5. G. McNamara and G. Zanetti, "Use of the Boltzmann Equation to Simulate Lattice-Gas Automata," Physical Rev. Letters, vol. 61, no. 20, Nov. 1988, pp. 2332-2335.
6. F. Higuera and J. Jimenez, "Boltzmann Approach to Lattice Gas Simulations," Europhysics Letters, vol. 9, no. 7, Aug. 1989, pp. 663-668.
7. F.J. Higuera, S. Succi, and R. Benzi, "Lattice Gas-Dynamics with Enhanced Collisions," Europhysics Letters, vol. 9, no. 4, June 1989, pp.345-349.
8. H.D. Chen, S.Y. Chen, and W.H. Matthaeus, "Recovery of the Navier-Stokes Equations Using a Lattice-Gas Boltzmann Method," Physical Rev. A, vol. 45, no. 8, Apr. 1992, pp. R5339-R5342.
9. R. Benzi, S. Succi, and M. Vergassola, "The Lattice Boltzmann Equation: Theory and Applications," Physics Reports, vol. 222, no. 3, Dec. 1992, pp. 145-197.
10. S. Chen and G. Doolen, "Lattice Boltzmann Method for Fluid Flows," Ann. Rev. Fluid Mechanics, vol. 30,1998, pp. 329-364.
11. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Clarendon Press, Oxford, UK, 2001.
12. X. Shan and H. Chen, "Lattice Boltzmann Model for Simulating Flows with Multiple Phases and Components," Physics Rev. E, vol. 47, no. 3, Mar. 1993, pp. 1815-1819.
13. A. Anagnost et al., Digital Physics: Analysis of the Morel Body in Ground Proximity, tech. report 970139, Int'l Congress and Exposition, Detroit, 1997.
14. S. Chen et al., "Lattice Boltzmann Model for Simulation of Magnetohydrodynamics," Physical Rev. Letters, vol. 67, no. 27, Dec. 1991, pp. 3776-3779.
15. Y.H. Qian, D. d'Humieres, and P. Lallemand, "Lattice BGK Models for Navier-Stokes Equation," Europhysics Letters, vol. 17, no. 6, Feb. 1992, pp. 479-484.
16. P. Bhatnagar, E. Gross, and K. Krook, "A Model for Collisional Processes in Gases I: Small Amplitude Processes in Charged and Neutral One-Component System," Physical Rev. B, vol. 94, no. 3, 1954, pp. 511-525.
17. U. Frisch, B. Hasslacher, and Y. Pomeau, "Lattice Gas Automata for the Navier-Stokes Equations," Physics Rev. Letters, vol. 56, no. 14, Apr. 1986, pp. 1505-1508.
18. X. He and L.-S. Luo, "Theory of the Lattice Bolztmann Equation: From Boltzmann Equation to Lattice Boltzmann Equation," Physics Rev. E, vol. 56, no. 6, Dec. 1997, pp. 6811-6817.
19. O. Filippova and D. Hänel, "Grid Refinement for Lattice-BGK Models," J. Computational Physics, vol. 147, no. 11, Nov. 1998, pp. 219-228.
20. F. Mazzocco et al., "Multiscale Lattice Boltzmann Schemes: A Preliminary Application to Axial Turbomachine Flow Simulations," Int'l J. Modern Physics C, vol. 11, no. 2, Mar. 2000, pp. 233-245.
21. O. Filippova et al., "Multiscale Lattice Boltzmann Schemes with Turbulence Modeling," J. Computational Physics, vol. 170, no. 2, July 2001, pp. 812-829.
22. F. Nannelli and S. Succi, "The Lattice Boltzmann Equation in Irregular Lattices," J. Statistical Physics, vol. 68, nos. 3-4, Aug. 1992, pp. 401-407.
23. X. He, L. Luo, and M. Dembo, "Some Progress in Lattice Boltzmann Method: Part I, Non-Uniform Grids," J. Computational Physics, vol. 129, no. 2, Dec. 1996, pp. 357-363.
24. H.D. Chen, "Volumetric Formulation of the Lattice Boltzmann Method for Fluid Dynamics: Basic Concept," Physical Rev. E, vol. 58, no. 3, Sept. 1998, pp. 3955-3963.
25. G.W. Peng et al., "Finite Volume Scheme for the Lattice Boltzmann Method on Unstructured Meshes," Physical Rev. E, vol. 59, no. 4, Apr. 1999, pp. 4675-4682.
26. O. Filippova and D. Hänel, "Acceleration of Lattice-BGK Schemes with Grid Refinement," J. Computational Physics, vol. 165, no. 2, Dec. 2000, pp. 407-427.
27. H. Chen, C. Teixeira, and K. Molvig, "Realization of Fluid Boundary Conditions via Discrete Boltzmann Dynamics," Int'l J. Modern Physics C, vol. 9, no. 8, Dec. 1998, pp. 1281-1292.
28. C.M. Rhie and W.L. Chow, "Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation," AIAA J., vol. 21, no. 11, 1983, pp. 1525-1532.
29. D. Coles and A.J. Wadcock, "Flying Hot-Wire Study of Flow Past an NACA 4412 Airfoil at Maximum Lift," AIAA J., vol. 17, no. 4, 1979, pp. 312-329.
30. S. Succi et al., "Chemical Efficiency of Reactive Microflows with Heterogeneous Catalysis: A Lattice Boltzmann Study," to be published in European J. Applied Physics.
31. S. Succi et al., "An Integer Realization of a Lax Scheme for Transport Processes in Multiple Component Flows," J. Computational Physics, vol. 152, no. 2, July 1999, pp. 493-516.
32. E. Oran and J. Boris, Numerical Simulation of Reactive Flows, Elsevier Science, New York, 1987.
33. M. Silverberg, A. Ben-Shaul, and F. Rebenstrost, "On the Effects of Adsorbate Aggregation on the Kinetics of Surface Reactions," J. Chemical Physics, vol. 83, no. 12, Dec. 1985, pp. 6501-6513.
34. M. Seel, "Modeling of Solid Rocket Fuel: From Quantum Chemistry to Fluid Dynamic Simulations," Computers in Physics, vol. 5, no. 5, Sept./Oct. 1991, p. 460.
35. A.F. Voter, "Hyperdynamics: Accelerated Molecular Dynamics of Infrequent Events," Physical Rev. Letters, vol. 78, no. 20, May 1997, pp. 3908-3911.