HifiMagnet is a platform for modeling, simulation and optimisation of high field magnets.

The Laboratoire National des Champs Magnétiques Intenses (LNCMI) is  a French large scale facility [1], also part of the European Magnetic Field Laboratory (EMFL), enabling researchers to perform experiments in the highest possible magnetic field (up to 35 T static field  provided by water cooled resistive magnets connected with a 24 MW power supply). Magnets are accessible to the international scientific community through project calls twice a year. Studies range from solid physics to applied superconductivity and magneto-science. In a strong international competition driven by the NHMFL in the USA and with the emergence of magnet labs in China, the LNCMI is embarked into the race for higher field. To keep up in this context magnet technologies have to be pushed to their limits both in terms of materials (active researches are carried out to have materials – either resistive or superconductor – with improved mechanical and electrical properties) and of design methods.

From an engineering point of view designing such high field magnet reaches the limits of our current methodology and the models upon which it relies. In peculiar it raises questions about the model precisions from a pure numerical point of view and from the model itself: is the physics considered sufficient to correctly represent the involved phenomenon? On top of that to guarantee the requested homogeneity it is mandatory to account for geometrical uncertainties, slight plays and mechanical clearances. Moreover, material properties and operating parameters uncertainties should be accounted for to assure a robust design

The HIFIMAGNET pilot application [2] [3] has been developed on top of the Feel++ library in the frame of a collaboration between LNCMI and Institut de Recherche Mathématique Avancée (IRMA) from Unistra to address these questions.  HIFIMAGNET consists in (i) a set of numerical models ranging from 2D axi to  3D  including more and more physics,  and  (ii) a additional framework to perform sensitivity  analysis and uncertainty quantification  on material properties, operational parameters and geometric that aims to complement LNCMI standard design.


Contact: C. Trophime <christophe.trophime@lncmi.cnrs.fr


[1] J. Béard and F. Debray, The French High Magnetic Field Facility, Journal of Low Temperature Physics, 2013, 170(5-6), pp541-552

[2] C. Daversin, C. Prudhomme, C. Trophime. Full 3D MultiPhysics Model of High Field PolyHelices Magnets. IEEE Transactions on Applied Superconductivity, Institute of Electrical and Electronics Engineers, 2016, 26 (4), pp.1-4.

[3] C. Daversin-Catty. Reduced basis method applied to large non-linear multi-physics problems. Application to high field magnets design. Analysis of PDEs [math.AP]. IRMA (UMR 7501), 2016. English. <tel-01361722>