FN Archimer Export Format PT J TI Galerkin analysis of kinematic dynamos in the von Karman geometry BT AF MARIE, Louis NORMAND, C DAVIAUD, F AS 1:1,4;2:2;3:3; FF 1:;2:;3:; C1 Service de Physique de l’Etat Condensé, DSM/DRECAM/SPEC, CNRS/SPM URA 2464, CEA/Saclay, 91191 Gif-sur-Yvette Cedex, France and Laboratoire de Physique des Océans, Université de Bretagne Occidentale, BP 809, 29285 Brest, France Service de Physique Théorique, CEA/DSM/SPhT, CNRS/SPM URA 2306, CEA/Saclay, 91191 Gif-sur-Yvette Cedex, France Service de Physique de l’Etat Condensé, DSM/DRECAM/SPEC, CNRS/SPM URA 2464, CEA/Saclay, 91191 Gif-sur-Yvette Cedex, France C2 CNRS, FRANCE CEA, FRANCE CNRS, FRANCE IFREMER, FRANCE IN WOS Ifremer jusqu'en 2018 IF 1.697 TC 31 UR https://archimer.ifremer.fr/doc/00253/36474/35014.pdf LA English DT Article AB We investigate dynamo action by solving the kinematic dynamo problem for velocity fields of the von Karman type between two coaxial counter-rotating propellers in a cylinder. A Galerkin method is implemented that takes advantage of the symmetries of the flow and their subsequent influence on the nature of the magnetic field at the dynamo threshold. Distinct modes of instability have been identified that differ by their spatial and temporal behaviors. Our calculations give the result that a stationary and antisymmetric mode prevails at the dynamo threshold. We then present a quantitative analysis of the results based on the parametric study of four interaction coefficients obtained by reduction of our initially large eigenvalue problem. We propose these coefficients to measure the relative importance of the different mechanisms at play in the von Karman kinematic dynamo. PY 2006 PD JAN SO Physics Of Fluids SN 1070-6631 PU Amer Inst Physics VL 18 IS 1 UT 000235015200025 DI 10.1063/1.2158267 ID 36474 ER EF