Aguirre Guzmán Andrés J, Madonia Matteo, Cheng Jonathan S, Ostilla-Mónico Rodolfo, Clercx Herman J H, Kunnen Rudie P J
Fluids and Flows group, Department of Applied Physics and J. M. Burgers Centre for Fluid Dynamics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, Netherlands.
Department of Mechanical Engineering, University of Houston, Houston, Texas 77004, USA.
Phys Rev Lett. 2020 Nov 20;125(21):214501. doi: 10.1103/PhysRevLett.125.214501.
We perform direct numerical simulations of rotating Rayleigh-Bénard convection (RRBC) of fluids with low (Pr=0.1) and high (Pr≈5) Prandtl numbers in a horizontally periodic layer with no-slip bottom and top boundaries. No-slip boundaries are known to actively promote the formation of plumelike vertical disturbances, through so-called Ekman pumping, that control the ambient flow at sufficiently high rotation rates. At both Prandtl numbers, we demonstrate the presence of competing large-scale vortices (LSVs) in the bulk. Strong buoyant forcing and rotation foster the quasi-two-dimensional turbulent state of the flow that leads to the upscale transfer of kinetic energy that forms the domain-filling LSV condensate. The Ekman plumes from the boundary layers are sheared apart by the large-scale flow, yet we find that their energy feeds the upscale transfer. Our results of RRBC simulations substantiate the emergence of large-scale flows in nature regardless of the specific details of the boundary conditions.
我们对低普朗特数(Pr = 0.1)和高普朗特数(Pr≈5)流体在具有无滑移底部和顶部边界的水平周期性层中的旋转瑞利 - 贝纳德对流(RRBC)进行了直接数值模拟。已知无滑移边界通过所谓的埃克曼抽吸积极促进羽状垂直扰动的形成,这种扰动在足够高的旋转速率下控制周围流动。在两个普朗特数下,我们都证明了在主体中存在相互竞争的大尺度涡旋(LSV)。强烈的浮力强迫和旋转促进了流动的准二维湍流状态,导致动能向上传递,形成充满整个区域的LSV凝聚体。边界层的埃克曼羽流被大尺度流动剪切分开,但我们发现它们的能量为向上传递提供了动力。我们的RRBC模拟结果证实了自然界中大规模流动的出现,而与边界条件的具体细节无关。