A Coupled Thermo-Electromagnetic Formulation Based on the Cell Method

Two discrete approaches for 3-D weakly coupled thermo-electromagnetic, magnetically linear, quasi-static problems in bounded domains are presented and compared. Both approaches are based, as far as the electromagnetic equations are concerned, on discrete potentials to model both conducting and nonconducting regions, whereas the thermal problem is solved by direct use of the temperature as unknown. The code implementing the formulations is validated by comparing results with those obtained by a commercial axisymmetric package with similar space and time discretizations.