The Lagrangian kinetic energy cascade in Rayleigh-Bénard convection

Fuente: arXiv
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Main Authors: Barta, Robin, Wagner, Claus, Shnapp, Ron
Format: Preprint
Published: 2025
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author Barta, Robin
Wagner, Claus
Shnapp, Ron
author_facet Barta, Robin
Wagner, Claus
Shnapp, Ron
contents Rayleigh-Bénard 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_01714
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Lagrangian kinetic energy cascade in Rayleigh-Bénard convection
Barta, Robin
Wagner, Claus
Shnapp, Ron
Fluid Dynamics
Rayleigh-Bénard 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.
title The Lagrangian kinetic energy cascade in Rayleigh-Bénard convection
topic Fluid Dynamics
url https://arxiv.org/abs/2505.01714