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IUGG19-0309 - Application of Spherical Slepian Functions to Decomposing Core Surface Flows

Authors

Rogers,  H. H.
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;
University of Edinburgh;

Beggan,  Ciaran
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;
British Geological Survey;

Whaler,  Kathryn
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;
University of Edinburgh;

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Citation

Rogers, H. H., Beggan, C., Whaler, K. (2023): IUGG19-0309 - Application of Spherical Slepian Functions to Decomposing Core Surface Flows - Abstracts.
https://doi.org/10.57757/iugg23-0399


Cite as: https://gfzpublic.gfz-potsdam.de/pubman/item/item_5011433
Abstract
Spherical Slepian functions (or ‘Slepian functions’) are mathematical functions which can be used to decompose potential fields, as represented by spherical harmonics, into smaller regions covering part of a spherical surface. This allows a spatio-spectral trade-off between aliasing of the signal at the boundary edges while constraining it within a region of interest. While Slepian functions have previously been applied to crustal magnetic data, this work further applies Slepian functions to flows on the core-mantle boundary. There are two main reasons for restricting flow models to certain parts of the core surface. Firstly, we have reason to believe that different dynamics operate in different parts of the core while, secondly, the modelled flow is ambiguous over certain parts of the surface. Spherical Slepian functions retain many of the advantages of our usual flow description, concerning for example the boundary conditions it must satisfy, and allowing easy calculation of the power