Rayleigh-Bénard流中平流、扩散和活动障碍物之间的相互作用
Interplay between advective, diffusive, and active barriers in Rayleigh-Bénard flow
摘要：
我们对复杂流体流动的物质组织的理解最近得益于客观相干结构理论的数学发展。这些方法提供了大量的方法来识别三维（3D）湍流中的传输障碍。具体而言，理论上的进步已被纳入数值算法，提取最有影响力的平流，扩散和主动障碍，以帧无关的方式从数据集传输。然而，迄今为止，已经有非常有限的调查，这些客观定义的传输障碍在三维非定常流与复杂的时空动力学。同样，尚未在具有热和剪切驱动特征的3D流动中对平流、扩散和活动障碍进行系统比较。在我们的研究中，我们利用湍流旋转Rayleigh-Bénard对流的模拟来揭示平流传输障碍（拉格朗日相干结构），扩散热传输的物质障碍和动量传输的客观欧拉障碍之间的相互作用。对于一系列的（逆）Rossby数，我们可视化每种类型的障碍，并量化其作用的障碍下的相对影响力的机械力和热力学的变化的动量和热输运。
英文摘要：
Our understanding of the material organization of complex fluid flows has recently benefited from mathematical developments in the theory of objective coherent structures. These methods have provided a wealth of approaches that identify transport barriers in three-dimensional (3D) turbulent flows. Specifically, theoretical advances have been incorporated into numerical algorithms that extract the most influential advective, diffusive and active barriers to transport from data sets in a frame-indifferent fashion. To date, however, there has been very limited investigation into these objectively-defined transport barriers in 3D unsteady flows with complicated spatiotemporal dynamics. Similarly, no systematic comparison of advective, diffusive and active barriers has been carried out in a 3D flow with both thermal and shear-driven features. In our study, we utilize simulations of turbulent rotating Rayleigh-Bénard convection to uncover the interplay between advective transport barriers (Lagrangian coherent structures), material barriers to diffusive heat transport and objective Eulerian barriers to momentum transport. For a range of (inverse) Rossby numbers, we visualize each type of barrier and quantify their role as barriers to momentum and heat transport under changes in the relative influence of mechanical and thermal forces.
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