Cellular automata and lattice Boltzmann methods: A new approach to computational fluid dynamics and particle transport

Future Generation Computer Systems

Volumn 16, Issue 2, 1999, Pages 249-257

  Chopard, Bastien ^a   Masselot, Alexandre ^a  

^a UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; MATHEMATICAL MODELS; PARALLEL PROCESSING SYSTEMS;

CELLULAR AUTOMATA (CA); LATTICE BOLTZMANN (LB) METHOD; MASSIVELY PARALLEL COMPUTING;

AUTOMATA THEORY;

EID: 0033328841     PISSN: 0167739X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-739X(99)00050-3     Document Type: Article

References (29)

1. G. Doolen, Lattice Gas Method for Partial Differential Equations, Addison-Wesley, Reading. MA, 1990.
2. T. Toffoli, N. Margolus, Cellular Automata Machines: a New Environment for Modeling, MIT Press, Cambridge. MA, 1987.
3. S. Wolfram, Cellular Automata and Complexity, Addison-Wesley, Reading. MA, 1994.
4. B. Chopard, M. Droz, Cellular Automata Modeling of Physical Systems, Cambridge University Press, Cambridge, 1998.
5. B. Boghosian, Lattice gases and cellular automata, Future Generation Computer Systems.
6. Kadanoff Leo On two levels. Phys. Today. 39(9):1986;7-9.
7. Hillis W.D. Richard Feynman and the connection machine. Phys. Today. 42(2):1989;78.
8. Frisch U., Hasslacher B., Pomeau Y. Lattice-gas automata for the Navier-Stokes equation. Phys. Rev. Lett. 56:1986;1505.
9. Y.H. Qian, S. Succi, S.A. Orszag, Recent advances in lattice Boltzmann computing, in: D. Stauffer (Ed.), Annual Reviews of Computational Physics, vol. III, World Scientific, Singapore, 1996, pp. 195-242.
10. Cornell S., Droz M., Chopard B. Some properties of the diffusion-limited reaction. nA+mB→C with homogeneous and inhomogeneous initial conditions Physica A. 188:1992;322-336.
11. Chopard B., Masselot A., Droz M. A multiparticle lattice gas model for a fluid application to ballistic annihilation. Phys. Rev. Lett. 81:1998;1845-1848.
12. P.-A. Sundsbø, Numerical modelling and simulation of snow drift, PhD Thesis, Narvik Institute of Technology, ISBN 82-471-0047-9, 1997.
13. T. Castelle, Transport de la neige par le vent en montagne: approche expérimentale du site du col du Lac Blanc, PhD Thesis, EPF Lausanne, Switzerland, 1995.
14. D. Kobayashi, Studies of snow transport in low-level drifting snow, Contributions Inst. Low Temp. Sci. A (24) (1972) 1-58.
15. P. Résibois, M. Leener, Classical Kinetic Theory of Fluids, Wiley, New York, 1977.
16. U. Frisch, D. d'Humières, B. Hasslacher, P. Lallemand, Y. Pomeau, J.-P. Rivet, Lattice gas hydrodynamics in two and three dimension, Complex Systems 1 (1987) 649-707 (reprinted in G. Doolen (Ed.), Lattice Gas Methods for Partial Differential Equations, Addison-Wesley, Reading. MA, 1990, p. 77).
17. U. Frisch, D. d'Humières, B. Hasslacher, P. Lallemand, Y. Pomeau, J.-P. Rivet, Lattice gas hydrodynamics in two and three dimension, Complex Systems 1 (1987) 649-707 (reprinted in G. Doolen (Ed.), Lattice Gas Methods for Partial Differential Equations, Addison-Wesley, Reading. MA, 1990, p. 77).
18. Qian Y.H., d'Humières D., Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 17(6):1992;470-484.
19. B. Chopard, P. Luthi, A. Masselot, Cellular automata and lattice Boltzmann techniques: an approach to model and simulate complex systems, Advances Phys., 1998, submitted for publication.
20. Hou S., Sterling J., Chen S., Doolen G.D. A lattice Boltzmann subgrid model for high Reynolds number flows. Fields Inst. Commun. 6:1996;151-166.
21. D.J. Tritton, Physical Fluid Dynamics, Clarendon Press, Oxford, 1988.
22. Chopard B., Frachebourg L., Droz M. Multiparticle lattice gas automata for reaction-diffusion systems. Int. J. Mod. Phys. C. 5:1994;47-63.
23. Takeuchi M. Vertical profile and horizontal increase of drift snow transport. J. Glaciol. 26(94):1980;481-492.
24. A. Masselot, B. Chopard, A lattice Boltzmann model for particle transport and deposition, Europhys. Lett. 42 (1998) 259-264.
25. A. Masselot, B. Chopard, Snow transport and deposition: a numerical model, J. Glaciol., 1998, submitted for publication.
26. Sharp R.P. Wind ripples. J. Geol. 71:1963;617-636.
27. H. Martinez, Contribution à la modélisation du transport éolien de particules, Mesures de profiles de concentration en soufflerie diphasique, PhD Thesis, Universit Joseph Fourier-Grenoble I, 1996.
28. V. Cornish, Waves of Sand and Snow, T. Fisher Unwin, London, 1914.
29. Werner B.Y., Gillespie D.T. Fundamentally discrete stochastic model for wind ripple dynamics. Phys. Rev. Lett. 71:1993;3230-3233.