References
- Avalos-Zuñiga , R and Plunian , F . 2005 . Influence of inner and outer walls electromagnetic properties on the onset of a stationary dynamo action . Eur. Phys. J. B , 47 : 127 – 135 .
- Avalos-Zuñiga , R , Plunian , F and Gailitis , A . 2003 . Influence of electromagnetic boundary conditions onto the onset of dynamo action in laboratory experiments . Phys. Rev. E , 68 : 066307
- Bonito , A and Guermond , J-L . 2010 . Approximation of the eigenvalue problem for time harmonic Maxwell systems by continuous Lagrange finite elements . Math. Comp. , (in press)
- Busse , FH and Wicht , J . 1992 . A simple dynamo caused by conductivity variations . Geophys. Astrophys. Fluid Dyn. , 64 : 135 – 144 .
- Costabel , M . 1991 . A coercive bilinear form for Maxwell's equations . J. Math. Anal. Appl. , 157 : 527 – 541 .
- de la Torre , A and Burguete , J . 2007 . Slow dynamics in a turbulent von Kármán swirling flow . Phys. Rev. Lett. , 99 : 054101
- Dobler , W , Frick , P and Stepanov , R . 2003 . Screw dynamo in a time-dependent pipe flow . Phys. Rev. E , 67 : 056309
- Frick , P , Khripchenko , S , Denisov , S , Sokoloff , D and Pinton , JF . 2002 . Effective magnetic permeability of a turbulent fluid with macroferroparticles . Eur. Phys. J. B , 25 : 399 – 402 .
- Giesecke , A , Nore , C , Plunian , F , Laguerre , R , Ribeiro , A , Stefani , F , Gerbeth , G , Leorat , J and Guermond , J . 2010a . Generation of axisymmetric modes in cylindrical kinematic mean-field dynamos of VKS type . Geophys. Astrophys. Fluid Dyn. , 104 : 249 – 271 .
- Giesecke , A , Stefani , F and Gerbeth , G . 2008 . Kinematic simulations of dynamo action with a hybrid boundary-element/finite-volume method . Magnetohydrodynamics , 44 : 237 – 252 .
- Giesecke , A , Stefani , F and Gerbeth , G . 2010b . Role of soft-iron impellers on the mode selection in the von-Kármán–sodium dynamo experiment . Phys. Rev. Lett. , 104 : 044503
- Gissinger , C , Iskakov , A , Fauve , S and Dormy , E . 2008 . Effect of magnetic boundary conditions on the dynamo threshold of von Kármán swirling flows . Europhys. Lett. , 82 : 29001
- Guermond , JL , Laguerre , R , Léorat , J and Nore , C . 2009 . Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method . J. Comput. Phys. , 228 : 2739 – 2757 .
- Guermond , JL , Laguerre , R , Léorat , J and Nore , C . 2007 . An interior penalty Galerkin method for the MHD equations in heterogeneous domains . J. Comput. Phys. , 221 : 349 – 369 .
- Haber , E and Ascher , UM . 2001 . Fast finite volume simulation of 3d electromagnetic problems with highly discontinuous coefficients . SIAM J. Sci. Comput. , 22 : 1943 – 1961 .
- Iskakov , AB , Descombes , S and Dormy , E . 2004 . An integro-differential formulation for magnetic induction in bounded domains: boundary element-finite volume method . J. Comp. Phys. , 197 : 540 – 554 .
- Iskakov , AB and Dormy , E . 2005 . On magnetic boundary conditions for non-spectral dynamo simulations . Geophys. Astrophys. Fluid Dyn. , 99 : 481 – 492 .
- Jackson , JD . 1975 . Classical Electrodynamics, , 2nd , New York : Wiley . 1975
- Laguerre , R , Nore , C , Ribeiro , A , Léorat , J , Guermond , J and Plunian , F . 2008a . Impact of impellers on the axisymmetric magnetic mode in the VKS2 dynamo experiment . Phys. Rev. Lett. , 101 : 104501
- Laguerre , R , Nore , C , Ribeiro , A , Léorat , J , Guermond , J and Plunian , F . 2008b . Erratum: Impact of impellers on the axisymmetric magnetic mode in the VKS2 dynamo experiment [Phys. Rev. Lett. 2008, 101, 104501] . Phys. Rev. Lett. , 101 : 219902
- Lowes , FJ and Wilkinson , I . 1963 . Geomagnetic dynamo: a laboratory model . Nature , 198 : 1158 – 1160 .
- Lowes , FJ and Wilkinson , I . 1968 . Geomagnetic dynamo: an improved laboratory model . Nature , 219 : 717 – 718 .
- Marié , L , Normand , C and Daviaud , F . 2006 . Galerkin analysis of kinematic dynamos in the von Kármán geometry . Phys. Fluids , 18 : 017102
- Monchaux , R . 2007 . Generation of a magnetic field by dynamo action in a turbulent flow of liquid sodium . Phys. Rev. Lett. , 98 : 044502
- Pétrélis , F , Mordant , N and Fauve , S . 2007 . On the magnetic fields generated by experimental dynamos . Geophys. Astrophys. Fluid Dyn. , 101 : 289 – 323 .
- Roberts , PH , Glatzmaier , GA and Clune , TL . 2010 . Numerical simulation of a spherical dynamo excited by a flow of von Kármán type . Geophys. Astrophys. Fluid Dyn. , 104 : 207 – 220 .
- Stefani , F , Giesecke , A and Gerbeth , G . 2009 . Numerical simulations of liquid metal experiments on cosmic magnetic fields . Theor. Comp. Fluid Dyn. , 23 : 405 – 429 .
- Stefani , F , Xu , M , Gerbeth , G , Ravelet , F , Chiffaudel , A , Daviaud , F and Leorat , J . 2006 . Ambivalent effects of added layers on steady kinematic dynamos in cylindrical geometry: application to the VKS experiment . Eur. J. Mech. B , 25 : 894 – 908 .
- Stone , JM and Norman , ML . 1992a . ZEUS-2D: a radiation magnetohydrodynamics code for astrophysical flows in two space dimensions: Part I – the hydrodynamic algorithms and tests . Astrophys. J. Supp. , 80 : 753 – 790 .
- Stone , JM and Norman , ML . 1992b . ZEUS-2D: a radiation magnetohydrodynamics code for astrophysical flows in two space dimensions: Part II. The magnetohydrodynamic algorithms and tests . Astrophys. J. Supp. , 80 : 791
- Verhille , G , Plihon , N , Bourgoin , M , Odier , P and Pinton , J . 2010 . Induction in a von Kármán flow driven by ferromagnetic impellers . New J. Phys. , 12 : 033006
- Ziegler , U . 1999 . A three-dimensional Cartesian adaptive mesh code for compressible magnetohydrodynamics . Comp. Phys. Commun. , 116 : 65 – 77 .