Electromagnet design

Hi,

I am trying to simulate an electromagnet, consists of two coils and cores, in order to test different core design and materials. In particular, I would like to test for the magnetic field between the cores, as a function of the current in the coils, taking into account the remanent magnetization in the core (if made from a ferromagnetic material).
Can anyone provide any tips, or point me to a similar model which I can investigate?

Thanks.