AV-formulation with vxB motion term (Electrical Machine)

By

For the moving system and the resting observer, as introduced earlier, the motion term is considered by applying:

tmp10293_thumb

For the moving system and the resting observer, as introduced earlier, the motion term is considered by applying:

tmp10294_thumb

Together with Ampere’s law (3.9), this leads to the AV-formulation considering the motion term v x B.

tmp10295_thumb

Considering the motion term causes the later coefficient matrix to be non-symmetric. This is important for the stability of the method used. To obtain a stable solution procedure, the discretised part of the convection termtmp10296_thumbhas to be smaller when compared to the termtmp10297_thumb(Hackbusch46).