S. Clain et al., NUMERICAL MODELING OF INDUCTION-HEATING FOR 2-DIMENSIONAL GEOMETRIES, Mathematical models and methods in applied sciences, 3(6), 1993, pp. 805-822
We present both a mathematical model and a numerical method for simula
ting induction heating processes. The geometry of the conductors is cy
lindrical and the magnetic field is assumed to be parallel to the inva
riance axis. The model equations have current tension as prescribed da
ta rather than current intensity. In Particular, the formulation of th
e electromagnetic problem uses the magnetic field as the unknown funct
ion. The numerical method takes into account the time periodicity of t
he prescribed tension and deals with the two different time scales of
electromagnetic and thermal phenomena.