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Behavior of hydrodynamic and magnetohydrodynamic turbulence in a rotating sphere with precession and dynamo action
Phys. Rev. Fluids 7, 103801 – Published 26 October, 2022
DOI: https://doi.org/10.1103/PhysRevFluids.7.103801
Abstract
The effect of precession in a rotating sphere filled with fluid was studied with direct numerical simulations, in both incompressible hydrodynamics (HD) and magnetohydrodynamics (MHD) scenarios. In both cases the asymptotic state and its dependence with both rotating and precession frequency was analyzed. For the MHD case no self-sustaining dynamos were found for the prograde precession case, whereas on the other hand a critical retrograde precession frequency was found above which dynamo action is self-sustained. It was also found that these correspond to small-scale dynamos with a developed turbulent regime. Furthermore, the presence of reversals of the magnetic dipole moment is observed, with greater waiting times between reversals for smaller precession frequencies.
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References (30)
- G. A. Glatzmaiers and P. H. Roberts, A three-dimensional self-consistent computer simulation of a geomagnetic field reversal, Nature (London) 377, 203 (1995).
- S. I. Braginsky and P. H. Roberts, Equations governing convection in Earth's core and the geodynamo, Geophys. Astrophys. Fluid Dyn. 79, 1 (1995).
- P. H. Roberts and G. A. Glatzmaier, Geodynamo theory and simulations, Rev. Mod. Phys. 72, 1081 (2000).
- R. Monchaux, M. Berhanu, S. Aumaître, A. Chiffaudel, F. Daviaud, B. Dubrulle, F. Ravelet, S. Fauve, N. Mordant, F. Pétrélis, M. Bourgoin, P. Odier, J.-F. Pinton, N. Plihon, and R. Volk, The von Kármán Sodium experiment: Turbulent dynamical dynamos, Phys. Fluids 21, 035108 (2009).
- U. R. Christensen, J. Aubert, and G. Hulot, Conditions for Earth-like geodynamo models, Earth Planet. Sci. Lett. 296, 487 (2010).
- K. Stewartson and P. H. Roberts, On the motion of liquid in a spheroidal cavity of a precessing rigid body, J. Fluid Mech. 17, 1 (1963).
- F. H. Busse, Steady fluid flow in a precessing spheroidal shell, J. Fluid Mech. 33, 739 (1968).
- J. Noir, P. Cardin, D. Jault, and J.-P. Masson, Experimental evidence of non-linear resonance effects between retrograde precession and the tilt-over mode within a spheroid, Geophys. J. Int. 154, 407 (2003).
- A. Tilgner, Precession driven dynamos, Phys. Fluids 17, 034104 (2005).
- J. Vidal and D. Cébron, Kinematic dynamos in triaxial ellipsoids, Proc. Math. Phys. Eng. Sci. 477, 20210252 (2021).
- W. V. R. Malkus, Precession of the Earth as the cause of geomagnetism, Science 160, 259 (1968).
- X. L. Keke Zhang, Theory and Modeling of Rotating Fluids: Convection, Inertial Waves and Precession, 1st ed., Cambridge Monographs on Mechanics (Cambridge University Press, Cambridge, 2017).
- Y. Lin, P. Marti, J. Noir, and A. Jackson, Precession-driven dynamos in a full sphere and the role of large scale cyclonic vortices, Phys. Fluids (1994) 28, 066601 (2016).
- D. Cébron, R. Laguerre, J. Noir, and N. Schaeffer, Precessing spherical shells: Flows, dissipation, dynamo and the lunar core, Geophys. J. Int. 219, S34 (2019).
- M. Fontana, P. D. Mininni, and P. Dmitruk, Effect of electromagnetic boundary conditions on convective dynamo onset, arXiv:2207.02394 [physics.flu-dyn].
- H. W. Babcock, The topology of the sun's magnetic field and the 22-YEAR Cycle, Astrophys. J. 133, 572 (1961).
- Y. Ponty, H. Politano, and J.-F. Pinton, Simulation of Induction at Low Magnetic Prandtl Number, Phys. Rev. Lett. 92, 144503 (2004).
- P. Olson, Core Dynamics: Treatise on Geophysics, 1st ed. (Elsevier, New York, 2009).
- H. Amit, R. Leonhardt, and J. Wicht, Polarity reversals from paleomagnetic observations and numerical dynamo simulations, Space Sci. Rev. 155, 293 (2010).
- P. Dmitruk, P. D. Mininni, A. Pouquet, S. Servidio, and W. H. Matthaeus, Emergence of very long time fluctuations and noise in ideal flows, Phys. Rev. E 83, 066318 (2011).
- P. Dmitruk, P. D. Mininni, A. Pouquet, S. Servidio, and W. H. Matthaeus, Magnetic field reversals and long-time memory in conducting flows, Phys. Rev. E 90, 043010 (2014).
- M. Fontana, P. D. Mininni, and P. Dmitruk, Magnetic structure, dipole reversals, and noise in resistive MHD spherical dynamos, Phys. Rev. Fluids 3, 123702 (2018).
- P. D. Mininni and D. C. Montgomery, Magnetohydrodynamic activity inside a sphere, Phys. Fluids 18, 116602 (2006).
- P. D. Mininni, D. C. Montgomery, and L. Turner, Hydrodynamic and magnetohydrodynamic computations inside a rotating sphere, New J. Phys. 9, 303 (2007).
- P. D. Mininni and A. Pouquet, Inverse cascade behavior in freely decaying two-dimensional fluid turbulence, Phys. Rev. E 87, 033002 (2013).
- A. Sen, P. D. Mininni, D. Rosenberg, and A. Pouquet, Anisotropy and nonuniversality in scaling laws of the large-scale energy spectrum in rotating turbulence, Phys. Rev. E 86, 036319 (2012).
- T. Teitelbaum and P. D. Mininni, Effect of Helicity and Rotation on the Free Decay of Turbulent Flows, Phys. Rev. Lett. 103, 014501 (2009).
- M. López-Caballero and J. Burguete, Inverse Cascades Sustained by the Transfer Rate of Angular Momentum in a 3D Turbulent Flow, Phys. Rev. Lett. 110, 124501 (2013).
- J. Vanyo, P. Wilde, P. Cardin, and P. Olson, Experiments on precessing flows in the Earth's liquid core, Geophys. J. Int. 121, 136 (1995).
- M. Pais and J. Le Moeuel, Precession-induced flows in liquid-filled containers and in the Earth's core, Geophys. J. Int. 144, 539 (2001).
