Thermal convection over fractal surfaces

Toppaladoddi, Srikanth; Wells, Andrew; Doering, Charles R.; Wettlaufer, J. S.

doi:10.1017/jfm.2020.826

Cited by 22 publications

(22 citation statements)

References 68 publications

(192 reference statements)

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“…2001; Goluskin & Doering 2016; Toppaladoddi et al. 2020). In these situations, the systems are in a statistical steady state.…”

Section: Resultsmentioning

confidence: 99%

“…In non-rotating turbulent Rayleigh-Bénard convection, with Dirichlet boundary conditions and periodically rough boundaries, Toppaladoddi, Succi & Wettlaufer (2015 showed that, for a given roughness wavelength, there is a ratio of the thermal boundary layer thickness to the roughness amplitude that optimizes Nu. Moreover, this enhancement of heat transport is a general consequence of roughness, observed for a wide range of geometries from rough on all surfaces to fractal boundaries (Roche et al 2001;Goluskin & Doering 2016;Toppaladoddi et al 2020). In these situations, the systems are in a statistical steady state.…”

Section: Maximal Phase Boundary Roughness and Maximal Heat Fluxmentioning

confidence: 95%

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Melting driven by rotating Rayleigh–Bénard convection

Ravichandran

Wettlaufer

2021

J. Fluid Mech.

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“…2001; Goluskin & Doering 2016; Toppaladoddi et al. 2020). In these situations, the systems are in a statistical steady state.…”

Section: Resultsmentioning

confidence: 99%

Section: Maximal Phase Boundary Roughness and Maximal Heat Fluxmentioning

confidence: 95%

Melting driven by rotating Rayleigh–Bénard convection

Ravichandran

Wettlaufer

2021

J. Fluid Mech.

Self Cite

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“…Secondly, the lower boundary in the CBL is neither smooth, nor uniformly heated. Recent results show that neither nonuniform heating (Bakhuis et al, 2018) nor rough boundaries (Zhu et al, 2019;Toppaladoddi et al, 2021) drastically change the dynamics of RBC, though the latter does tend to increase the heat flux towards the so-called "ultimate regime", equivalent to the free-convective regime which dominates discussion of scaling in the atmospheric convective boundary layer.…”

Section: The Relevance Of Rbc To Atmospheric Flowsmentioning

confidence: 99%

Two-fluid single-column modelling of Rayleigh-Bénard convection as a step towards multi-fluid modelling of atmospheric convection

Shipley¹,

Weller²,

Clark³

et al. 2022

Preprint

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Multi-fluid models have recently been proposed as an approach to improving the representation of convection in weather and climate models. This is an attractive framework as it is fundamentally dynamical, removing some of the assumptions of mass-flux convection schemes which are invalid at current model resolutions. However, it is still not understood how best to close the multi-fluid equations for atmospheric convection. In this paper we develop a simple two-fluid, single-column model with one rising and one falling fluid. No further modelling of sub-filter variability is included. We then apply this model to Rayleigh-Bénard convection, showing that, with minimal closures, the correct scaling of the heat flux (Nu) is predicted over six orders of magnitude of buoyancy forcing (Ra). This suggests that even a very simple two-fluid model can accurately capture the dominant coherent overturning structures of convection.

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“…Secondly, the lower boundary in the CBL is neither smooth, nor uniformly heated. Recent results show that neither non‐uniform heating (Bakhuis et al ., 2018) nor rough boundaries (Zhu et al ., 2019; Toppaladoddi et al ., 2021) drastically change the dynamics of RBC, though the latter does tend to increase the heat flux towards the so‐called “ultimate regime”, equivalent to the free‐convective regime which dominates discussion of scaling in the atmospheric convective boundary layer.…”

Section: Rayleigh–bénard Convection (Rbc)mentioning

confidence: 99%

Two‐fluid single‐column modelling of Rayleigh–Bénard convection as a step towards multi‐fluid modelling of atmospheric convection

Shipley

Weller

Clark

et al. 2021

Quart J Royal Meteoro Soc

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Multi‐fluid models have recently been proposed as an approach to improving the representation of convection in weather and climate models. This is an attractive framework as it is fundamentally dynamical, removing some of the assumptions of mass‐flux convection schemes which are invalid at current model resolutions. However, it is still not understood how best to close the multi‐fluid equations for atmospheric convection. In this paper we develop a simple two‐fluid, single‐column model with one rising and one falling fluid. No further modelling of sub‐filter variability is included. We then apply this model to Rayleigh–Bénard convection, showing that, with minimal closures, the correct scaling of the heat flux (Nu) is predicted over six orders of magnitude of buoyancy forcing (Ra). This suggests that even a very simple two‐fluid model can accurately capture the dominant coherent overturning structures of convection.

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Thermal convection over fractal surfaces

Abstract: Abstract

Cited by 22 publications

References 68 publications

Melting driven by rotating Rayleigh–Bénard convection

Melting driven by rotating Rayleigh–Bénard convection

Two-fluid single-column modelling of Rayleigh-Bénard convection as a step towards multi-fluid modelling of atmospheric convection

Two‐fluid single‐column modelling of Rayleigh–Bénard convection as a step towards multi‐fluid modelling of atmospheric convection

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