1994 • In Gruber, R.; Tomassini, M. (Eds.) Proceedings of the 6th Joint EPS-APS International Conference on Physics Computing. PC'94. Physics Computing '94
Theoretical or Mathematical/ cellular automata; natural convection; physics computing; turbulence/ turbulent convection; cellular automaton formulation; Rayleigh-Benard convection; standard plane-parallel shallow configuration; hydrodynamical formulation; Rayleigh number; stationary roll-pattern; hydrodynamic theory; nonstationary turbulent flow pattern; geometry-constrained stationary patterns; turbulent motions/ A4725Q Convection and heat transfer A0550 Lattice theory and statistics; Ising problems A0560 Transport processes: theory C7320 Physics and chemistry computing C4220 Automata theory
Abstract :
[en] A cellular automaton (CA) formulation is devised to simulate 2-dimensional Rayleigh-Benard convection. The model is tested in the case of a standard plane-parallel shallow configuration for which analytical solutions of the hydrodynamical formulation are available at low enough Rayleigh numbers. If we use a measure of the intensity of gravity, k, as our free parameter (the analogue of the Rayleigh number), all other model parameters being fixed, then we can reproduce the well-known stationary roll-pattern predicted by the hydrodynamic theory at low k values. At higher k values the model exhibits a nonstationary turbulent flow pattern. Our formulation is extended to less trivial geometries for which an analytic treatment in the usual hydrodynamic context is not feasible. Besides geometry-constrained stationary patterns of motion in a range of low k values, this model exhibits again turbulent motions at higher k values
Disciplines :
Physics
Author, co-author :
Perdang, Jean ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO)
Raty, Jean-Yves ; Université de Liège - ULiège > Département de physique > Physique de la matière condensée
Tomassini, M.
Lejeune, André
Language :
English
Title :
2D cellular automata for turbulent convection
Publication date :
1994
Event name :
6th Joint EPS-APS International Conference on Physics Computing. PC'94. Physics Computing '94
Event organizer :
EPS-APS
Event place :
Lugano, Switzerland
Event date :
22-26 Aug. 1994
Audience :
International
Main work title :
Proceedings of the 6th Joint EPS-APS International Conference on Physics Computing. PC'94. Physics Computing '94
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