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arXiv:2505.01714v1 (physics)
[Submitted on 3 May 2025 ]

Title: The Lagrangian kinetic energy cascade in Rayleigh-Bénard convection

Title: 瑞利-本杰明对流中的拉格朗日动能级串

Authors:Robin Barta, Claus Wagner, Ron Shnapp
Abstract: Rayleigh-B\'{e}nard convection at high Rayleigh number exhibits turbulence superimposed on large-scale circulation. While buoyancy forces drive the flow at certain scales, how kinetic energy is transfers across the scales is not understood. Here, utilizing a Lagrangian description of the kinetic energy flux, we present experimental evidence of a split cascade where energy flows downwscale at small scales and upscale at large scales. The flow topology of these energy transfer events differ profoundly, and the transition between them occurs gradually, over a broad range of scales.
Abstract: 高瑞利数下的瑞利-本纳德对流表现出叠加在大规模环流之上的湍流。虽然浮力在特定尺度上驱动流动,但动能如何在尺度间传递尚未被理解。在此,利用动能通量的拉格朗日描述,我们展示了能量分裂级联的实验证据,在小尺度下能量向较小尺度流动,在大尺度下能量向较大尺度流动。这些能量传递事件的流动拓扑结构存在显著差异,并且它们之间的转变逐渐发生,在广泛的尺度范围内过渡。
Comments: 7 pages, 4 figures
Subjects: Fluid Dynamics (physics.flu-dyn)
Cite as: arXiv:2505.01714 [physics.flu-dyn]
  (or arXiv:2505.01714v1 [physics.flu-dyn] for this version)
  https://doi.org/10.48550/arXiv.2505.01714
arXiv-issued DOI via DataCite

Submission history

From: Ron Shnapp [view email]
[v1] Sat, 3 May 2025 06:37:34 UTC (1,935 KB)
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