@article {2987,
	title = {A numerical model for elliptical instability of the Earth{\textquoteright}s fluidouter core},
	journal = {Physics of the Earth and Planetary Interiors},
	volume = {117},
	year = {2000},
	pages = {51 - 61},
	abstract = {A dynamical model is proposed for the elliptical instability that has been reported by Aldridge et al. [Aldridge, K.D.,\&nbsp;Seyed-Mahmoud, B., \&nbsp;Henderson, G.A., van Wijngaarden, W., 1997. \&nbsp;Elliptical instability of the Earth{\textquoteright}s fluid core. Phys.\&nbsp;Earth Planet. Inter., 103, 365{\textendash}374] in connection with recent experiments on an ellipsoidal shell of rotating fluid. The\&nbsp;frequencies and growth rates of the instability are obtained numerically \&nbsp;by means of a Galerkin method that is based upon\&nbsp;the normal modes of the contained fluid. A finite-element method has been employed to \&nbsp;approximately solve the ill-posed\&nbsp;Poincare{\textasciiacute} problem for the normal \&nbsp;modes. The numerical results for a special case are compared with their \&nbsp;analytical\&nbsp;counterparts, and the agreement is to within 0.1\% for shells of small ellipticity. Results are presented for other cases,\&nbsp;including some where the boundary perturbation is allowed to rotate slowly with respect to the inertial frame. The\&nbsp;conclusion is that such investigations are of \&nbsp;geophysical interest, since tidal forcing might be sufficient to excite an \&nbsp;elliptical\&nbsp;instability of the fluid outer core of the Earth and thus contribute to the geomagnetic field.},
	author = {Behnam Seyed-Mahmoud and Gary Henderson and Keith Aldridge}
}
