A numerical model for elliptical instability of the Earth's fluid outer core
Tài liệu tham khảo
Aldridge, 1972, Axisymmetric inertial oscillations of a fluid in a rotating spherical shell, Mathematika, 19, 163, 10.1112/S002557930000560X
Aldridge, 1989, A. Poincaré model for the Earth's fluid core, Geophys. Astrophys. Fluid Dyn., 103, 5, 10.1080/03091928908219523
Bayly, 1986, Three-dimensional instability of elliptical flow, Phys. Rev. Lett., 57, 2160, 10.1103/PhysRevLett.57.2160
Gledzer, 1977, Finite-dimensional approximation of the motions of an incompressible fluid in an ellipsoidal cavity, Izv. Atmos. Ocean. Phys., 10, 69
Gledzer, 1992, Instability of bounded flows with elliptical streamlines, J. Fluid Mech., 240, 1, 10.1017/S0022112092000016
Gledzer, 1975, An experimental and theoretical study of the stability of motion of a liquid in an elliptical cylinder, Izv. Atmos. Ocean. Phys., 11, 617
Greenhill, 1879, On the rotation of a liquid ellipsoid about its mean axis, Proc. Cambridge Philos. Soc., 3, 233
Greenspan, H.P., 1969. The Theory of Rotating Fluids. Cambridge Univ. Press.
Henderson, G.A., 1996. A finite-element method for weak solutions of the Poincaré problem. PhD Thesis, York Univ.
Hough, 1895, The oscillations of a rotating ellipsoidal shell containing fluid, Philos. Trans. R. Soc. London A, 186, 469, 10.1098/rsta.1895.0012
Kerswell, 1993, The instability of precessing flow, Geophys. Astrophys. Fluid Dyn., 72, 107, 10.1080/03091929308203609
Kerswell, 1994, Tidal excitation of hydrodynamic waves and their damping in the Earth, J. Fluid Mech., 274, 219, 10.1017/S0022112094002107
Kerswell, 1998, Tidal instability as the source for Io's magnetic signature, Geophys. Res. Lett., 25, 603, 10.1029/98GL00237
Lumb, L.I., Aldridge, K.D., 1988. An experimental study of inertial waves in a rotating spherical shell of fluid. In: Smylie, D.E., Hide, R. (Eds.), Structure and Dynamics of the Earth's Deep Interior. Am. Geophys. Union, Geophys. Monogr., 46, 35–39.
Lumb, L.I., Aldridge, K.D., Henderson, G.A., 1993. A generalized `core resonance' phenomenon: inferences from a Poincaré core model. In: Le Moüel, J.L., Smylie, D.E., Herring, T.A. (Eds.), Dynamics of the Earth's Deep Interior and Earth Rotation. Am. Geophys. Union, Geophys. Monogr., 72, 51–68.
Malkus, 1989, An experimental study of global instability due to tidal (elliptical) distortion of a rotating elastic cylinder, Geophys. Astrophys. Fluid Dyn., 48, 123, 10.1080/03091928908219529
Pierrehumbert, 1986, Universal short-wave instability of two-dimensional eddies in an inviscid fluid, Phys. Rev. Lett., 57, 2157, 10.1103/PhysRevLett.57.2157
Poincaré, 1910, Sur la précession des corps déformables, Bull. Astron., 27, 321, 10.3406/bastr.1910.12831
Rieutord, 1995, Inertial modes in the liquid core of the Earth, Phys. Earth Planet. Inter., 91, 41, 10.1016/0031-9201(95)03040-4
Rieutord, 1997, Inertial modes in a rotating spherical shell, J. Fluid Mech., 341, 77, 10.1017/S0022112097005491
Stergiopoulos, 1984, Ringdown of inertial oscillations in a spheroidal shell of rotating fluid, Phys. Earth Planet. Inter., 36, 17, 10.1016/0031-9201(84)90095-5
Suess, 1971, Viscous flow in a deformable rotating container, J. Fluid Mech., 45, 189, 10.1017/S0022112071003069
Vladimirov, 1986, Instability of steady flow with constant vorticity in vessels of elliptic cross-section, PMM U.S.S.R., 50, 279
Waleffe, 1990, On the three-dimensional instability of strained vortices, Phys. Fluids A, 2, 76, 10.1063/1.857682