Numerical modelling of thermoelectric magnetic effects in solidification

International audienceSince several years experiments performed on solidification of alloys with application of a static magnetic field show a significant effect of the latter on the solidified structure and segregation. A hypothesis suggests that these modifications are related to a thermoelectric magnetic force. Serious efforts were made to reproduce observed phenomena with numerical modeling, yet, they faced significant difficulties. In the paper we discuss some numerical issues using a model magneto-thermoelectric problem coupled with hydrodynamics with finite volume and a finite element method