%0 Journal Article
%T Pattern formation in Rayleigh-Bénard convection: numerical simulation with a coupled-map-lattice model<br>Pattern formation in Rayleigh-Bénard convection: Numerical simulation with a coupled-map-lattice model
%A Liang Wang
%A Guanghua Zhang
%A Song Fu
%A <br>
%J 科学通报(英文版)
%D 2005
%I 
%X The various patterns formed in Rayleigh-Bénard convection under different conditions are numerically simulated with a coupled-map-lattice model. In the case of a lower aspect ratio (L/d=5), the simulations vividly depicted the main features of the transition process from a laminar state to a soft turbulence and then to a hard turbulence. In this case, the cellular structure in a horizontal section is also reproduced. In the case of a larger aspect ratio (L/d=30), the simulations successfully reproduced the spiral-defect chaos and target chaos in the initial stage of the pattern evolution which were recently found in experiments. In this case, for a fluid ofPr=1, it is verified in simulations that both the ideal straight rolls and spiral-defect chaos are stable attractors in the same parameter regime, and that the initial condition is a decisive factor for which one of the two is formed. In the same case, for a fluid ofPr=4, the target patterns are dominant instead of the spirals, the sizes and distributions of the target are also notably dependent on the initial condition.
%K natural convection
%K pattern formation
%K dynamical system
%K coupled map lattice
%K spatio-temporal chaos<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=96E6E851B5104576C2DD9FC1FBCB69EF&jid=DD6615BC9D2CFCE0B6F945E8D5314523&aid=6241DB15EA07092D9A4990A665F7EF16&yid=2DD7160C83D0ACED&vid=771152D1ADC1C0EB&iid=94C357A881DFC066&sid=87545994EC2C1F12&eid=DA74B62FE4348759&journal_id=1001-6538&journal_name=科学通报(英文版)&referenced_num=0&reference_num=19