3D Magnetostatics and magnetic rigid-body forces | |
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Browse model files — Download zip archive |

## Quick start

To run the model, open `magnets.pro`

with Gmsh
and click on the "Run" button in the left panel.

## Features addressed in this tutorial

- 3D Magnetostatics
- Dual vector and scalar magnetic potentials formulations
- Boundary condition at infinity with infinite elements
- Maxwell stress tensor and rigid-body magnetic forces

## Additional information

This rather didactic tutorial solves the electromagnetic field and the rigid-body forces acting on a set of magnetic pieces of parallelepipedic or cylindrical shape. The tutorial model proposes both dual 3D magnetostatic formulations: the magnetic vector potential formulation with spanning-tree gauging, and the scalar magnetic potential formulation. As in tutorial 2 (magnetostatic field of an electromagnet), a shell of so-called infinite elements is used here to impose the exact zero-field boundary condition at infinity. The preferred way to compute electromagnetic forces in GetDP is as an explicit by-product of the Maxwell stress tensor.

## References

*This work was funded in part by the Walloon Region (WBGreen No 1217703 FEDO, WIST3 No 1017086 ONELAB) and by the Belgian Science Policy (IAP P7/02). Copyright (c) 2012-2018 ULiège-UCL.*