Investigation of thin-sheet approaches to simulate beam tube losses
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The beam tube in acceleration facilities is often made of very thin metal. During the switch-on or switch-off process of the dipole-magnets, the fast change in the magnetic field lead to eddy currents in the conductive beam tube. Applying a standard finite-element method (FEM) in order to simulate the parasitic effects results often in inapprop riate meshes and high computational effort. Thin sheet approaches improve the mesh quality and speed up the calculations, like shown in Fig. 1. In our report of 2013, existing thin-sheet approaches were studied and compared, and the approach of [1] and [2] were selected to be most efficient for the calculation of beam tube losses. In this report our new algorithm, which was already introduced in the report of 2012 for simple 1D test scenarios, is applied to higher spacial dimensions to be able to compare its performance to the competitive methods.
[1] Isaak D. Mayergoyz,et al. On calculation of 3-D eddy currents in conducting and magnetic shells , 1995 .
[2] Kersten Schmidt,et al. A Unified Analysis of Transmission Conditions for Thin Conducting Sheets in the Time-Harmonic Eddy Current Model , 2013, SIAM J. Appl. Math..
[3] Thomas Weiland,et al. A finite-element approach in order to avoid ill-conditioning in thin-sheet problems in frequency domain - Application to magneto-quasistatics , 2012, J. Comput. Appl. Math..