Integral equation approach to dynamo experiments and inverse problems


Integral equation approach to dynamo experiments and inverse problems

Xu, M.; Stefani, F.; Gerbeth, G.

The dynamo action is generally believed to be the origin of cosmic magnetic field generation. Usually, the numerical treatment of dynamo actions is carried out in the framework of the differential equation approach. In the present work, an integral equation approach is developed to simulate the dynamo actions with arbitrary geometries in general and the von Karman sodium experiment in particular. It is found that the lid layers in VKS experiment facility have an ambivalent effect on the efficiency of the dynamo. The induced magnetic field obtained recently by the integral equation approach shows a good agreement with the experimental result. The integral equation approach demonstrates a number of practical advantages: robust, numerically stable, fast and accurate. These features make it a good forward solver for inverse problems of dynamo experiment and other technical applications of magnetohydrodynamics. A test example to infer the velocity field of Riga dynamo experiment is presented.

Keywords: Dynamo

  • Invited lecture (Conferences)
    Kolloquium der Forschergruppe Magnetofluiddynamik, TU Ilmenau, 23.11.2005, Ilmenau, Germany

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Publ.-Id: 7848