Geomagnetic acceleration and rapid hydromagnetic wave dynamics in advanced numerical simulations of the geodynamo

Abstract

Geomagnetic secular acceleration is a unique window on the dynamics taking place in Earth's core. In this study, the behaviours of the secular acceleration and underlying core dynamics are examined in new numerical simulations of the geodynamo that reside on a theoretical path in parameter space connecting the region where most classical models are found to the natural conditions. The typical time scale for geomagnetic acceleration is found to be invariant along this path, at a value close to 10 years that matches Earth's core estimates. Despite this invariance, the spatio-temporal properties of secular acceleration show significant variability along the path, with an asymptotic regime of rapid rotation reached after 30% of this path (corresponding to a model Ekman number $E=310^{-7}$). In this regime, the energy of secular acceleration is entirely found at periods longer than that of planetary rotation, and the underlying flow acceleration patterns acquire a two-dimensional columnar structure representative of the rapid rotation limit. The spatial pattern of the secular acceleration at the core-mantle boundary shows significant localisation of energy within an equatorial belt. Rapid hydromagnetic wave dynamics is absent at the start of the path but can be clearly exhibited in the asymptotic regime. This study reports on ubiquitous axisymmetric geostrophic torsional waves of weak amplitude relatively to convective transport, and also stronger, laterally limited, quasi-geostrophic Alfvén waves propagating in the cylindrical radial direction from the tip of convective plumes towards the core-mantle boundary. Quasi-geostrophic Alfvén waves are shown to be an important carrier of flow acceleration to the core surface that links with the generation of strong, short-lived and intermittent equatorial pulses in the secular acceleration energy.

arXiv comment35 pages, 14 figures

References in corpus (9)

• Thermal and electrical conductivity of iron at Earth's core conditions
• Turbulent geodynamo simulations: a leap towards Earth's core
• Efficient Spherical Harmonic Transforms aimed at pseudo-spectral numerical simulations
• Spherical convective dynamos in the rapidly rotating asymptotic regime
• Planetary gyre, time-dependent eddies, torsional waves, and equatorial jets at the Earth's core surface
• Axial invariance of rapidly varying diffusionless motions in the Earth's core interior
• Electrical conductivity of the lowermost mantle explains absorption of core torsional waves at the equator
• The dynamics and excitation of torsional waves in geodynamo simulations
• Variability modes in core flows inverted from geomagnetic field models

Cited by in corpus (8)

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• Approaching Earth's core conditions in high-resolution geodynamo simulations
• Rapid Variations of Earth's Core Magnetic Field
• The interplay of fast waves and slow convection in geodynamo simulations nearing Earth's core conditions
• Core-surface kinematic control of polarity reversals in advanced geodynamo simulations
• Anelastic torsional oscillations in Jupiter's metallic hydrogen region
• Interplay between tidal flows and magnetic fields in nonlinear simulations of stellar and planetary convective envelopes