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- W4230604911 abstract "In this chapter, we review the progress in numerical modeling of the geodynamo made since 1995. Modern geodynamo models solve the fundamental equations of convection-driven flow and magnetic induction in a rotating spherical shell filled with an electrically conducting fluid. We discuss the basic model setup commonly employed as well as some modifications. The majority of modelers has employed a spectral transform method based on a spherical harmonic representation of the unknowns, which we describe in some detail. The dynamo problem is governed by at least four nondimensional control parameters. Numerical limitations dictate that the values for some of them must be chosen in a range that is far removed from Earth values, and it remains an open question how well these models represent the geodynamo. Many dynamo models generate a magnetic field that is dominated by the axial dipole, but depending on parameter values and boundary conditions others have a quadrupolar or a complex small-scaled magnetic field morphology. Numerical dynamos have been analyzed to elucidate details of the mechanism that generates the large-scale magnetic field in the Earth’s core. First attempts to determine how the fundamental properties of a dynamo scale with the control parameters are encouraging, but have been made on an empirical basis and need to be tested in the future. Despite unrealistic parameter values, some models reproduce known properties of the geomagnetic field to a surprisingly high degree. We compare the field morphology, magnetic power spectra, characteristic properties of secular variation, and persistent non-axisymmetric field structures that could have their origin in the heterogeneous heat flow imposed by the mantle on the core." @default.
- W4230604911 created "2022-05-11" @default.
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- W4230604911 date "2007-01-01" @default.
- W4230604911 modified "2023-10-03" @default.
- W4230604911 title "Numerical Dynamo Simulations" @default.
- W4230604911 doi "https://doi.org/10.1016/b978-044452748-6/00134-6" @default.
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