Naskar, S. orcid.org/0000-0003-0445-8417, Chongsiripinyo, K., Mishra, S. et al. (2 more authors) (2024) A generalized curvilinear solver for spherical shell Rayleigh–Bénard convection. Geophysical Journal International, 238 (2). pp. 631-645. ISSN 0956-540X
Abstract
A 3-D finite-difference solver has been developed and implemented for Boussinesq convection in a spherical shell. The solver transforms any complex curvilinear domain into an equivalent Cartesian domain using Jacobi transformation and solves the governing equations in the latter. This feature enables the solver to account for the effects of the non-spherical shape of the convective regions of planets and stars. Apart from parallelization using MPI, implicit treatment of the viscous terms using a pipeline alternating direction implicit scheme and HYPRE multigrid accelerator for pressure correction makes the solver efficient for high-fidelity direct numerical simulations. We have performed simulations of Rayleigh–Bénard convection at two Rayleigh numbers Ra = 105 and 107 while keeping the Prandtl number fixed at unity (Pr = 1). The average radial temperature profile and the Nusselt number match very well, both qualitatively and quantitatively, with the existing literature. Closure of the turbulent kinetic energy budget, apart from the relative magnitude of the grid spacing compared to the local Kolmogorov scales, ensures sufficient spatial resolution.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2024. This is an open access article under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Core, Numerical modelling, Planetary interiors |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > School of Earth and Environment (Leeds) > Inst of Geophysics and Tectonics (IGT) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 Jun 2024 12:44 |
Last Modified: | 20 Jun 2024 12:44 |
Status: | Published |
Publisher: | Oxford University Press |
Identification Number: | 10.1093/gji/ggae175 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:213683 |