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摘要翻译：
本文用直接数值模拟方法研究了Prandtl数$P=6.8$的Boussinesq流体在热传导板之间的二维Rayleigh-B\'Enard对流。通过模拟表明，在约化瑞利数$r$($770<r<890$)的较小范围内，二维轧辊沿垂直于轧辊轴线的方向呈无序运动。轧辊的横向移动可能导致对流运动的整体流动逆转。在速度场上采用{it自由滑移}和{it无滑移}边界条件，模拟观察到了混沌滚动。我们证明了流动滚转和流动反转是由于临界模态的实部和虚部之间的相互作用而产生的。
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英文标题：
《Chaotic traveling rolls in Rayleigh-B\'enard convection》
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作者：
Supriyo Pal, Krishna Kumar, Mahendra K. Verma, Daniele Carati, Arnab
K. De, Vinayak Eswaran
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Chaotic Dynamics 混沌动力学
分类描述：Dynamical systems, chaos, quantum chaos, topological dynamics, cycle expansions, turbulence, propagation
动力系统，混沌，量子混沌，拓扑动力学，循环展开，湍流，传播
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一级分类：Physics 物理学
二级分类：Chaotic Dynamics 混沌动力学
分类描述：Dynamical systems, chaos, quantum chaos, topological dynamics, cycle expansions, turbulence, propagation
动力系统，混沌，量子混沌，拓扑动力学，循环展开，湍流，传播
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Fluid Dynamics 流体动力学
分类描述：Turbulence, instabilities, incompressible/compressible flows, reacting flows. Aero/hydrodynamics, fluid-structure interactions, acoustics. Biological fluid dynamics, micro/nanofluidics, interfacial phenomena. Complex fluids, suspensions and granular flows, porous media flows. Geophysical flows, thermoconvective and stratified flows. Mathematical and computational methods for fluid dynamics, fluid flow models, experimental techniques.
湍流，不稳定性，不可压缩/可压缩流，反应流。气动/流体力学，流体-结构相互作用，声学。生物流体力学，微/纳米流体力学，界面现象。复杂流体，悬浮液和颗粒流，多孔介质流。地球物理流，热对流和层流。流体动力学的数学和计算方法，流体流动模型，实验技术。
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英文摘要：
In this paper we investigate two-dimensional (2D) Rayleigh-B\'enard convection using direct numerical simulation in Boussinesq fluids of Prandtl number $P = 6.8$ confined between thermally conducting plates. We show through the simulation that in a small range of reduced Rayleigh number $r$ ($770 < r < 890$) the 2D rolls move chaotically in a direction normal to the roll axis. The lateral shift of the rolls may lead to global flow reversal of the convective motion. The chaotic traveling rolls are observed in simulation with {\it free-slip} as well as {\it no-slip} boundary conditions on the velocity field. We show that the traveling rolls and the flow reversal are due to an interplay between the real and imaginary parts of the critical modes.
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PDF链接：
https://arxiv.org/pdf/704.3795
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