Botha, G.J.J., Rucklidge, A.M. orcid.org/0000-0003-2985-0976 and Hurlburt, N.E. (2012) Formation of magnetic flux tubes in cylindrical wedge geometry. Geophysical & Astrophysical Fluid Dynamics, 106 (6). pp. 701-709. ISSN 0309-1929
Abstract
Three-dimensional (3D) MHD numerical simulations have not been able to demonstrate convincingly the spontaneous formation of large vertical flux tubes. Two-dimensional (2D) magnetoconvection in axisymmetric cylinders forms a central magnetic flux tube surrounded by annular convection rings. To study the robustness of this type of solution in three dimensions, the nonlinear resistive MHD equations are solved numerically in a 3D cylindrical wedge from an initially uniform vertical magnetic field. It is shown that the 2D result is retrieved for small domain radii. However, for larger radii the central axis loses its importance and in this case many convection cells form in the numerical domain. Magnetic flux is captured between cells where flow converges and the reduced amount of flux that congregates at the central axis is eroded by the surrounding convection.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This item is protected by copyright. This is an author produced version of an article published in Geophysical and Astrophysical Fluid Dynamics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Magnetoconvection; Turbulent erosion; Flux separation; Numerical solution |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 12 Feb 2025 10:20 |
Last Modified: | 12 Feb 2025 10:20 |
Published Version: | https://www.tandfonline.com/doi/full/10.1080/03091... |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/03091929.2011.643236 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:223207 |