Nonlinear planetary dynamos in a rotating spherical shell. III. α²ω models and the geodynamo

References

• Abdel-Aziz , M. M. and Jones , C. A. 1988 . “αω dynamos and Taylor's constraint” . Geophys. Astrophys. Fluid Dynam. , 44 : 117 – 139 .
   Web of Science ®Google Scholar
• Barenghi , C. F. 1992 . “Nonlinear planetary dynamos in a rotating spherical shell. II. The post Taylor equilibration for α2 dynamos” . Geophys. Astrophys. Fluid Dynam. , 67 : 27 – 36 .
   Web of Science ®Google Scholar
• Barenghi , C. F. and Jones , C. A. 1991 . “Nonlinear planetary dynamos in a rotating spherical shell. I. Numerical methods” . Geophys. Astrophys. Fluid Dynam. , 60 : 211 – 243 .
   Web of Science ®Google Scholar
• Bott , M. H. P. 1982 . The interior of the Earth: its structure, constitution and evolution , Edward Arnold .
   Google Scholar
• Braginsky , S. I. 1975 . “Nearly axially symmetric model of the hydromagnetic dynamo of the Earth” . Geomagn. Aeron. , 15 : 122 – 128 .
   Google Scholar
• Braginsky , S. I. and Roberts , P. H. 1987 . “A model-Z geodynamo” . Geophys. Astrophys. Fluid Dynam. , 38 : 327 – 349 .
   Web of Science ®Google Scholar
• Brandenburg , A. , Norlund , A. , Pulkkinen , P. , Stein , R. F. and Tuominen , I. 1990 . “3-D Simulation of turbulent cyclonic magneto-convection” . Astron. Astrophys. , 232 : 277 – 291 .
   Web of Science ®Google Scholar
• Deinzer , W. , Kusserow , H.-U. V. and Stix , M. 1974 . “Steady and oscillatory αω dynamos” . Astron. Astrophys. , 36 : 69 – 78 .
   Web of Science ®Google Scholar
• Fearn , D. R. , Roberts , P. H. and Soward , A. M. 1988 . “Convection, stability and the dynamo” . In Energy, stability and convection , Pitman Research Notes in Mathematical Series Edited by: Galdi , G. P. and Straughan , B. Vol. 168 , 60 – 324 . Longmans .
   Google Scholar
• Hagee , V. and Olson , P. 1991 . “Dynamo models with permanent dipole fields and secular variations” . J. Geophys. Res. , 96 : 327 – 349 .
   Google Scholar
• Hollerbach , R. 1992 . “A direct spectral solution of the Ekman and Stewartson layers in a rotating spherical shell” submitted
   Google Scholar
• Hollerbach , R. and Ierley , G. R. 1991 . “A model α2 dynamo in the limited of asymptotically small viscosity” . Geophys. Astrophys. Fluid Dynam. , 56 : 133 – 158 .
   Web of Science ®Google Scholar
• Hollerbach , R. , Barenghi , C. F. and Jones , C. A. 1992 . “Taylor's constraint in a spherical αω-dynamo” . Geophys. Astrophys. Fluid Dynam. , 67 : 3 – 25 .
   Web of Science ®Google Scholar
• Jones , C. A. 1991 . “Dynamo models and Taylor's constraint” . In Advances in solar system magnetohydrodynamics , Edited by: Priest , E. R. and Hood , A. W. 25 – 50 . Cambridge Univ. Press .
   Google Scholar
• Jones , C. A. and Wallace , S. G. 1992 . “Periodic, chaotic and steady solutions in αω dynamos” submitted
   Google Scholar
• Malkus , W. V. R. and Proctor , M. R. E. 1975 . “The macrodynamics of α-effect dynamos in rotating fluids” . J. Fluid Mech. , 67 : 417 – 433 .
   Web of Science ®Google Scholar
• Olson , P. and Hagee , V. L. 1990 . “Geomagnetic polarity reversals, transition field structure and convection in the outer core” . J. Geophys. Res. , 95 : 4609 – 4620 .
   Web of Science ®Google Scholar
• Parker , E. N. 1979 . Cosmical magnetic fields, their origin and their activity , Oxford : Clarendon Press .
   Google Scholar
• Roberts , P. H. 1972 . “Kinematic dynamo models” . Phil. Trans. Roy. Soc. Lond. , A272 : 663 – 703 .
   Web of Science ®Google Scholar
• Roberts , P. H. 1988 . “Future of geodynamo theory” . Geophys. Astrophys. Fluid Dynam. , 44 : 3 – 32 .
   Web of Science ®Google Scholar
• Soward , A. M. 1992 . “The Earth's dynamo” to be published
   Google Scholar
• Soward , A. M. and Jones , C. A. 1983 . “α2 dynamos and Taylor's constraint” . Geophys. Astrophys. Fluid Dynam. , 27 : 87 – 122 .
   Web of Science ®Google Scholar
• Taylor , J. B. 1963 . “The magnetohydrodynamics of a rotating fluid and the earth's dynamo problem” . Proc. R. Soc. Lond. , A274 : 274 – 283 .
   Web of Science ®Google Scholar
• Zhang , K. K. and Busse , F. H. 1988 . “Finite amplitude convection and magnetic field generation in a rotating spherical shell” . Geophys. Astrophys. Fluid Dynam. , 44 : 33 – 54 .
   Web of Science ®Google Scholar
• Zhang , K. K. and Busse , F. H. 1989 . “Convection driven magnetohydrodynamic dynamos in rotating spherical shells” . Geophys. Astrophys. Fluid Dynam. , 49 : 97 – 116 .
   Web of Science ®Google Scholar
• Zhang , K. K. and Busse , F. H. 1990 . “Generation of magnetic field by convection in a rotating spherical fluid shell of infinite Prandl number” . Phys. Earth Plant. Inter. , 59 : 208 – 222 .
   Web of Science ®Google Scholar