Physics – Classical Physics
Scientific paper
2010-09-30
Physics of The Earth and Planetary Interiors 182, 1--2 (2010) 119-128
Physics
Classical Physics
Scientific paper
10.1016/j.pepi.2010.07.003
The full non-linear evolution of the tidal instability is studied numerically in an ellipsoidal fluid domain relevant for planetary cores applications. Our numerical model, based on a finite element method, is first validated by reproducing some known analytical results. This model is then used to address open questions that were up to now inaccessible using theoretical and experimental approaches. Growth rates and mode selection of the instability are systematically studied as a function of the aspect ratio of the ellipsoid and as a function of the inclination of the rotation axis compared to the deformation plane. We also quantify the saturation amplitude of the flow driven by the instability and calculate the viscous dissipation that it causes. This tidal dissipation can be of major importance for some geophysical situations and we thus derive general scaling laws which are applied to typical planetary cores.
Cébron David
Le Bars Michael
Le Gal Patrice
Leontini Justin
Maubert Pierre
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