Nonlinear T- $\Omega$ Formulation Including Motion for Multiply Connected 3-D Problems

An automatic cut generation algorithm based on the tree/co-tree technique is presented for treating multiply connected regions in 3D transient solutions including rigid motion. In the cutting domains, the zero curl condition of vector potential is strongly imposed. As part of the algorithm, a separation technique is introduced to confine the generation of each cutting domain to either the stationary or moving regions for nonconforming mesh coupling and reducing computational cost.