Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part II: Numerical simulation |
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Authors: | Nikola Popović Dirk Praetorius Anja Schlömerkemper |
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Institution: | 1. Department of Mathematics and Statistics and Center for BioDynamics, Boston University, 111 Cummington Street, Boston, MA, 02215, USA 2. Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstra?e 8-10, 1040, Vienna, Austria 3. Max Planck Institute for Mathematics in the Sciences, Inselstra?e 22-26, 04103, Leipzig, Germany
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Abstract: | The analysis of magnetoelastic phenomena is a field of active research. Formulae for the magnetic force in macroscopic systems
have been under discussion for some time. In Popović et al. (Continum. Mech. Thermodyn. 2007), we rigorously justify several
of the available formulae in the context of rigid bodies in two and three space dimensions. In the present, second part of
our study, we investigate these formulae in a series of numerical experiments in which the magnetic force is computed in dependence
on the geometries of the bodies as well as on the distance between them. In case the two bodies are in contact, i.e., in the
limit as their distance tends to zero, we focus especially on a formula obtained in a discrete-to-continuum approximation.
The aim of our study is to help clarify the question which force formula is the correct one in the sense that it describes
nature most accurately and to suggest adequate real-life experiments for a comparison with the provided numerical data.
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Keywords: | Magnetostatics Magnetic force formulae Numerical simulation Single-layer potential |
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