2007/04/20 by Mingtian Xu, Frank Stefani, G. Gerbeth +1
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Physics and Astronomy · #Action (physics) #Classical mechanics #Dynamo #Dynamo theory #Fluid dynamics and aerodynamics studies #Geomagnetism and Paleomagnetism Studies #Geometry #Integral equation #Kinematics #Magnetic and Electromagnetic Effects #Magnetic field #Mathematical analysis #Mathematics #Mechanics #Physics #Solar dynamo #astro-ph
paper · pdf · doi:10.1016/j.jcp.2008.05.009
published in Journal of Computational Physics 227(17), 8130-8144 (Elsevier BV) · 22 pages, 14 figures
arxiv created 2007/04/20 · openalex publication_date 2008/05/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The conventional magnetic induction equation that governs hydromagnetic dynamo action is transformed into an equivalent integral equation system. An advantage of this approach is that the computational domain is restricted to the region occupied by the electrically conducting fluid and to its boundary. This integral equation approach is first employed to simulate kinematic dynamos excited by Beltrami-like flows in a finite cylinder. The impact of externally added layers around the cylinder on the onset of dynamo actions is investigated. Then it is applied to simulate dynamo experiments within cylindrical geometry including the von Karman sodium (VKS) experiment and the Riga dynamo experiment. A modified version of this approach is utilized to investigate magnetic induction effects under the influence of externally applied magnetic fields which is also important to measure the proximity of a given dynamo facility to the self-excitation threshold.