The integral equation approach to kinematic dynamo theory and its application to dynamo experiments in cylindrical geometry - AstrophysicsReportar como inadecuado




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Abstract: The conventional magnetic induction equation that governs hydromagneticdynamo action is transformed into an equivalent integral equation system. Anadvantage of this approach is that the computational domain is restricted tothe region occupied by the electrically conducting fluid and to its boundary.This integral equation approach is first employed to simulate kinematic dynamosexcited by Beltrami-like flows in a finite cylinder. The impact of externallyadded layers around the cylinder on the onset of dynamo actions isinvestigated. Then it is applied to simulate dynamo experiments withincylindrical geometry including the von Karman sodium VKS experiment and theRiga dynamo experiment. A modified version of this approach is utilized toinvestigate magnetic induction effects under the influence of externallyapplied magnetic fields which is also important to measure the proximity of agiven dynamo facility to the self-excitation threshold.



Autor: Mingtian Xu, Frank Stefani, Gunter Gerbeth

Fuente: https://arxiv.org/







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