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Abstract:
We present a benchmark of magnetic induction codes driven by the ocean tidal flows. We concentrate on the
principal lunar semi-diurnal tide M2, using the state-of-the-art TPXO8-atlas ocean flow model. We assess the
effect of the two-dimensional thin-layer approximation, and the effect of self-induction. Large lateral variations
of ocean electrical conductivity are assumed. For the underlaying Earth’s mantle we consider either a realistic
one-dimensional conductivity profile, or use a perfect insulator approximation. Various numerical techniques are
compared, including weak formulation in the spherical harmonic domain, contracting integral equations, and finite
differences, both in the frequency and time domains. We compare the maps of magnetic field components at the
ocean surface, as well as the spherical harmonic power spectra.
