Two spinning ways for precession dynamo.

It is numerically demonstrated by means of a magnetohydrodynamic code that precession can trigger dynamo action in a cylindrical container. Fixing the angle between the spin and the precession axis to be 1/2π, two limit configurations of the spinning axis are explored: either the symmetry axis of the cylinder is parallel to the spin axis (this configuration is henceforth referred to as the axial spin case), or it is perpendicular to the spin axis (this configuration is referred to as the equatorial spin case). In both cases, the centro-symmetry of the flow breaks when the kinetic Reynolds number increases. Equatorial spinning is found to be more efficient in breaking the centro-symmetry of the flow. In both cases, the average flow in the reference frame of the mantle converges to a counter-rotation with respect to the spin axis as the Reynolds number grows. We find a scaling law for the average kinetic energy in term of the Reynolds number in the axial spin case. In the equatorial spin case, the unsteady asymmetric flow is shown to be capable of sustaining dynamo action in the linear and nonlinear regimes. The magnetic field is mainly dipolar in the equatorial spin case, while it is is mainly quadrupolar in the axial spin case.

[1]  R. Zhu,et al.  Precessing cylinders at the second and third resonance: turbulence controlled by geostrophic flow. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  J. Herault,et al.  Triadic resonances in nonlinear simulations of a fluid flow in a precessing cylinder , 2015, 1508.00334.

[3]  H. Blackburn,et al.  Triadic resonances in precessing rapidly rotating cylinder flows , 2015, Journal of Fluid Mechanics.

[4]  D. Cébron,et al.  Flows driven by libration, precession, and tides , 2015 .

[5]  X. Liao,et al.  On the transition from the laminar to disordered flow in a precessing spherical-like cylinder , 2014 .

[6]  J. Herault,et al.  Towards a precession driven dynamo experiment , 2014, 1410.8373.

[7]  X. Liao,et al.  The sidewall-localized mode in a resonant precessing cylinder , 2014 .

[8]  S. Kida,et al.  Turbulence driven by precession in spherical and slightly elongated spheroidal cavities , 2014 .

[9]  A. Jackson,et al.  Experimental study of fluid flows in a precessing cylindrical annulus , 2014, 1403.3532.

[10]  Jean-Luc Guermond,et al.  Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains , 2013 .

[11]  R. Vitry,et al.  Evidence for a cyclonic regime in a precessing cylindrical container , 2012 .

[12]  G. Gerbeth,et al.  DRESDYN - A new facility for MHD experiments with liquid sodium , 2012, 1201.5737.

[13]  J. Guermond,et al.  Influence of high-permeability discs in an axisymmetric model of the Cadarache dynamo experiment , 2011, 1112.1780.

[14]  Jean-Luc Guermond,et al.  From Suitable Weak Solutions to Entropy Viscosity , 2011, J. Sci. Comput..

[15]  Jean-Luc Guermond,et al.  Effects of discontinuous magnetic permeability on magnetodynamic problems , 2011, J. Comput. Phys..

[16]  Jean-Luc Guermond,et al.  Entropy viscosity method for nonlinear conservation laws , 2011, J. Comput. Phys..

[17]  J. Guermond,et al.  Nonlinear dynamo action in a precessing cylindrical container. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Jean-Luc Guermond,et al.  Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements , 2011, Math. Comput..

[19]  C. Eloy,et al.  Precessional instability of a fluid cylinder , 2011, Journal of Fluid Mechanics.

[20]  J. Guermond,et al.  Electromagnetic induction in non-uniform domains , 2010, 1004.0061.

[21]  J. Pinton,et al.  Induction in a von Kármán flow driven by ferromagnetic impellers , 2009, 0912.2429.

[22]  Cheng-Chin Wu,et al.  On a dynamo driven by topographic precession , 2009 .

[23]  Jean-Luc Guermond,et al.  Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method , 2009, J. Comput. Phys..

[24]  Jean-Luc Guermond,et al.  Effects of conductivity jumps in the envelope of a kinematic dynamo flow , 2006 .

[25]  F. Daviaud,et al.  Ambivalent effects of added layers on steady kinematic dynamos in cylindrical geometry: application to the VKS experiment , 2005, physics/0511149.

[26]  A. Tilgner Precession driven dynamos , 2005 .

[27]  R. Gans On hydromagnetic precession in a cylinder , 1971, Journal of Fluid Mechanics.

[28]  W. Malkus,et al.  Precession of the Earth as the Cause of Geomagnetism , 1968, Science.

[29]  F. Mokhtari,et al.  3D computational investigation of vertical magnetic field effect on heat transfer and 83Pb-17Li flow , 2015 .

[30]  C. Cremaschini,et al.  Diamagnetic-driven kinetic dynamos in collisionless astrophysical plasmas , 2012 .

[31]  Jean-Luc Guermond,et al.  An interior penalty Galerkin method for the MHD equations in heterogeneous domains , 2007, J. Comput. Phys..