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• W2316975687 abstract "Abstract We investigate how the choice of either no-slip or stress-free boundary conditions affects numerical models of rapidly rotating flow in Earth’s core by computing solutions of the weakly-viscous magnetostrophic equations within a spherical shell, driven by a prescribed body force. For non-axisymmetric solutions, we show that models with either choice of boundary condition have thin boundary layers of depth E 1/2 , where E is the Ekman number and a free-stream flow that converges to the formally inviscid solution. At Earth-like values of viscosity, the boundary layer thickness is approximately 1 m, for either choice of condition. In contrast, the axisymmetric flows depend crucially on the choice of boundary condition, in both their structure and magnitude (either E −1/2 or E −1 ). These very large zonal flows arise from requiring viscosity to balance residual axisymmetric torques. We demonstrate that switching the mechanical boundary conditions can cause a distinct change of structure of the flow, including a sign-change close to the equator, even at asymptotically low viscosity. Thus implementation of stress-free boundary conditions, compared with no-slip conditions, may yield qualitatively different dynamics in weakly-viscous magnetostrophic models of Earth’s core. We further show that convergence of the free-stream flow to its asymptotic structure requires E ≤ 10 −5 ." @default.
• W2316975687 created "2016-06-24" @default.
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• W2316975687 date "2016-03-16" @default.
• W2316975687 modified "2023-09-24" @default.
• W2316975687 title "A comparison of no-slip, stress-free and inviscid models of rapidly rotating fluid in a spherical shell" @default.
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• W2316975687 doi "https://doi.org/10.1038/srep22812" @default.
• W2316975687 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/4793234" @default.
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• W2316975687 hasPublicationYear "2016" @default.
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