Scheel J D, Cross M C
Department of Physics, California Institute of Technology 114-36, Pasadena, California 91125, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Nov;72(5 Pt 2):056315. doi: 10.1103/PhysRevE.72.056315. Epub 2005 Nov 14.
Numerical simulations of large aspect ratio, three-dimensional rotating Rayleigh-Bénard convection for no-slip boundary conditions have been performed in both cylinders and periodic boxes. We have focused near the threshold for the supercritical bifurcation from the conducting state to a convecting state exhibiting domain chaos. A detailed analysis of these simulations has been carried out and is compared with experimental results, as well as predictions from multiple scale perturbation theory. We find that the time scaling law agrees with the theoretical prediction, which is in contradiction to experimental results. We also have looked at the scaling of defect lengths and defect glide velocities. We find a separation of scales in defect diameters perpendicular and parallel to the rolls as expected, but the scaling laws for the two different lengths are in contradiction to theory. The defect velocity scaling law agrees with our theoretical prediction from multiple scale perturbation theory.
针对无滑移边界条件，在圆柱体和周期盒中都进行了大长宽比三维旋转瑞利 - 贝纳德对流的数值模拟。我们关注的是从传导状态到呈现区域混沌的对流状态的超临界分岔阈值附近。已经对这些模拟进行了详细分析，并与实验结果以及多尺度微扰理论的预测进行了比较。我们发现时间标度律与理论预测相符，这与实验结果相矛盾。我们还研究了缺陷长度和缺陷滑移速度的标度关系。正如预期的那样，我们发现缺陷直径在垂直和平行于滚动方向上存在尺度分离，但两种不同长度的标度律与理论相矛盾。缺陷速度标度律与我们从多尺度微扰理论得到的理论预测相符。
