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Towards the ultimate regime in Rayleigh-Darcy convection

Lookup NU author(s): Dr Francesco Zonta

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

© 2021 Cambridge University Press. All rights reserved. Numerical simulations are used to probe Rayleigh-Darcy convection in fluid-saturated porous media towards the ultimate regime. The present three-dimensional dataset, up to Rayleigh-Darcy number, suggests that the appropriate scaling of the Nusselt number is, fitting the computed data for. Extrapolation of current predictions to the ultimate linear regime yields the asymptotic law, about less than indicated in previous studies. Upon examination of the flow structures near the boundaries, we confirm previous indications of small flow cells hierarchically nesting into supercells, and we show evidence that the supercells at the boundary are the footprints of the megaplumes that dominate the interior part of the flow. The present findings pave the way for more accurate modelling of geophysical systems, with special reference to geological sequestration.


Publication metadata

Author(s): Pirozzoli S, De Paoli M, Zonta F, Soldati A

Publication type: Article

Publication status: Published

Journal: Journal of Fluid Mechanics

Year: 2021

Volume: 911

Print publication date: 25/03/2021

Online publication date: 02/02/2021

Acceptance date: 26/12/2020

Date deposited: 07/02/2025

ISSN (print): 0022-1120

ISSN (electronic): 1469-7645

Publisher: Cambridge University Press

URL: https://doi.org/10.1017/jfm.2020.1178

DOI: 10.1017/jfm.2020.1178


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Funding

Funder referenceFunder name
CINECA supercomputing centre (under the grants ISCRA IsB20–3DSIMCON and PRACE Pra19-4938)
ERASMUS+ project 29415-EPP–1–2014–1–IT–EPPKA3–ECHE between TU Wien and La Sapienza University
Vienna Scientific Cluster (VSC)

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