The presentation will show how to compute the magnetic field efficiently using the Biot-Savart law, coupled with a thermoelectric problem. The non-linearity of this problem, due to the dependence of the electric and thermal conductivities, is treated with the Empirical Interpolation Method (EIM). An algorithm has also been designed to compute the magnetic field in an adequate way for parallel computing.
As an illustration, we present two applications used at the Laboratoire National des Champs Magnétiques Intenses
- The identification of material properties according to measurements made at the LNCMI.
- The optimization of the magnet’s shape, with respect to the homogeneity of the magnetic field. This requires the use of the discrete version of EIM.
This work has been funded by the European project MSO4SC.