TY - JOUR
T1 - A detailed analysis of a dynamo mechanism in a rapidly rotating spherical shell
AU - Takahashi, F.
AU - Shimizu, H.
N1 - Funding Information:
We thank H. Tsunakawa for discussion and valuable comments, and J. Aubert and anonymous referees for their thorough review and insightful comments. F.T. is supported by the Japan Society for the Promotion of Science under the grant-in-aid for young scientists (B) No. 22740292. Numerical simulations were performed on the Earth Simulator at the Earth Simulator Center, Yokohama, Japan.
PY - 2012/6/25
Y1 - 2012/6/25
N2 - Mechanisms of magnetic field intensification by flows of an electrically conducting fluid in a rapidly rotating spherical shell are investigated using a numerical dynamo model with an Ekman number of 10 -5. A strong dipolar solution with a magnetic energy 55 times larger than the kinetic energy of thermal convection is obtained. In a regime of small viscosity and inertia with the strong magnetic field, the convection structure consists of a few large-scale retrograde flows in the azimuthal direction and localized thin sheet-like plumes. A detailed term-by-term analysis of the magnetic field amplification processes shows that the magnetic field is amplified through stretching of magnetic lines, which occurs typically through four types of flow: the retrograde azimuthal flow near the outer boundary, the downwelling flow of the sheet plume, the prograde azimuthal flow near the rim of the tangent cylinder, and the cylindrical-radially alternating flows of the plume cluster. The current loop structure emerges as a result of stretching the magnetic lines along the magnetic field by the flow acceleration. The most remarkable effects of the generated magnetic field on the flow come from the strong azimuthal (toroidal) magnetic field. Similarities of the present model in the convection and magnetic field structures to previous studies at larger and even smaller Ekman numbers suggest universality of the dynamo mechanism in rotating spherical dynamos.
AB - Mechanisms of magnetic field intensification by flows of an electrically conducting fluid in a rapidly rotating spherical shell are investigated using a numerical dynamo model with an Ekman number of 10 -5. A strong dipolar solution with a magnetic energy 55 times larger than the kinetic energy of thermal convection is obtained. In a regime of small viscosity and inertia with the strong magnetic field, the convection structure consists of a few large-scale retrograde flows in the azimuthal direction and localized thin sheet-like plumes. A detailed term-by-term analysis of the magnetic field amplification processes shows that the magnetic field is amplified through stretching of magnetic lines, which occurs typically through four types of flow: the retrograde azimuthal flow near the outer boundary, the downwelling flow of the sheet plume, the prograde azimuthal flow near the rim of the tangent cylinder, and the cylindrical-radially alternating flows of the plume cluster. The current loop structure emerges as a result of stretching the magnetic lines along the magnetic field by the flow acceleration. The most remarkable effects of the generated magnetic field on the flow come from the strong azimuthal (toroidal) magnetic field. Similarities of the present model in the convection and magnetic field structures to previous studies at larger and even smaller Ekman numbers suggest universality of the dynamo mechanism in rotating spherical dynamos.
UR - http://www.scopus.com/inward/record.url?scp=84864247215&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84864247215&partnerID=8YFLogxK
U2 - 10.1017/jfm.2012.154
DO - 10.1017/jfm.2012.154
M3 - Article
AN - SCOPUS:84864247215
SN - 0022-1120
VL - 701
SP - 228
EP - 250
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -