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arXiv · 2304.06553

Multiscale Finite Element Formulations for 2D/1D Problems

Karl Hollaus·Markus Schöbinger
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Abstract

Multiscale finite element methods for 2D/1D problems have been studied in this work to demonstrate their excellent ability to solve real-world problems. These methods are much more efficient than conventional 3D finite element methods and just as accurate. The 2D/1D multiscale finite element methods are based on a magnetic vector potential or a current vector potential. Known currents for excitation can be replaced by the Biot-Savart-field. Boundary conditions allow to integrate planes of symmetry. All presented approaches consider eddy currents, an insulation layer and preserve the edge effect. A segment of a fictitious electrical machine has been studied to demonstrate all above options, the accuracy and the low computational costs of the 2D/1D multiscale finite element methods.

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BibTeXRIS

Karl Hollaus, Markus Schöbinger. 2023-04-13. Multiscale Finite Element Formulations for 2D/1D Problems. https://arxiv.org/abs/2304.06553

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