Progress towards Taylor State Models of the Core

Details Progress towards Taylor State Models of the Core Progress towards Taylor State Models of the Core

Dec 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009agufm.p31c1258j&link_type=abstract

American Geophysical Union, Fall Meeting 2009, abstract #P31C-1258

Mathematics

Logic

[1595] Geomagnetism And Paleomagnetism / Planetary Magnetism: All Frequencies And Wavelengths

Scientific paper

A plausible description of the dynamics of the core is the so-called magnetostrophic regime, whereby the primary force balance is between Coriolis forces, Lorentz forces and pressure gradients. It is well known that in this balance, when inertia, nonlinear advection and viscosity are ignored, the magnetic field must obey a morphological constraint known as Taylor's constraint. We have now at our disposal a framework for the imposition of this constraint when the model is parametrised in spherical harmonics in latitude and longitude and a truncated polynomial expansion in radius. When working in a whole sphere the radial expansion has an immediate optimal solution, the so-called ``Jones-Worland polynomials'', a special choice of Jacobi polynomials. Working in a spherical shell presents more challenges. We will report on our progress towards the determination of the magnetic component of flow driven by the magnetic forces, and the geostrophic component which evolves naturally in a manner so as to ensure the adherence at all times to Taylor's constraint. Our aim is to create time-evolving models of the magnetic field in the core that are compatible with the rich historical database of measurements spanning the last 400 years.

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