Reference : 2D cellular automata for turbulent convection
Scientific congresses and symposiums : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/109717
2D cellular automata for turbulent convection
English
Perdang, Jean mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO)]
Raty, Jean-Yves mailto [Université de Liège - ULg > Département de physique > Physique de la matière condensée]
Tomassini, M. [> > > >]
Lejeune, André [ > > ]
1994
Proceedings of the 6th Joint EPS-APS International Conference on Physics Computing. PC'94. Physics Computing '94
Gruber, R.
Tomassini, M.
Eur. Phys. Soc
527-530530
No
No
International
2 88270 011 3
Geneva
Switzerland
6th Joint EPS-APS International Conference on Physics Computing. PC'94. Physics Computing '94
22-26 Aug. 1994
EPS-APS
Lugano
Switzerland
[en] 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
[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
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/109717

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