Magnetohydrodynamic simulations of the elliptical instability in triaxial ellipsoids
arXiv:1309.1929 · doi:10.1080/03091929.2011.641961
Abstract
The elliptical instability can take place in planetary cores and stars elliptically deformed by gravitational effects, where it generates large-scale three-dimensional flows assumed to be dynamo capable. In this work, we present the first magneto-hydrodynamic numerical simulations of such flows, using a finite-element method. We first validate our numerical approach by comparing with kinematic and dynamic dynamos benchmarks of the literature. We then systematically study the magnetic field induced by various modes of the elliptical instability from an imposed external field in a triaxial ellipsoidal geometry, relevant in a geo- and astrophysical context. Finally, in tidal induction cases, the external magnetic field is suddenly shut down and the decay rates of the magnetic field are systematically reported.
References in corpus (5)
- Magnetic cycles of the planet-hosting star tauBootis
- Tidal instability in a rotating and differentially heated ellipsoidal shell
- A systematic numerical study of the tidal instability in a rotating triaxial ellipsoid
- Libration driven elliptical instability
- Tilt-over mode in a precessing triaxial ellipsoid
Cited by in corpus (12)
- Elliptical instability in hot Jupiter systems
- Nonlinear evolution of the elliptical instability in the presence of weak magnetic fields
- Magnetic fields driven by tidal mixing in radiative stars
- Fossil field decay due to nonlinear tides in massive binaries
- Turbulent kinematic dynamos in ellipsoids driven by mechanical forcing
- Libration driven multipolar instabilities
- Applications of a finite-volume algorithm for incompressible MHD problems
- Magnetic activity of red giants: correlation between the amplitude of solar-like oscillations and chromospheric indicators
- Elliptical instability of compressible flow in ellipsoids
- Triadic instability of a non-resonant precessing fluid cylinder
- Mechanisms for magnetic Field generation in precessing cubes
- Kinematic dynamos in triaxial ellipsoids