Multiply Connected 3-D Transient Problem With Rigid Motion Associated With $mbi T\hbox {-}mmb\Omega$ Formulation

An automatic cut generation algorithm is applied to treat multiply connected regions in three-dimensional transient solutions including rigid motion. In the cutting domains, the zero curl condition of vector potential T is strongly imposed. A new algorithm is developed to guarantee that the generation of every cutting domain will reside on either the stationary region or on the moving region without touching or crossing the mesh coupling interface so that the difficulty of coupling the nonconforming mesh between stationary and moving parts can be avoided. In addition, a much convenient and reliable scheme is introduced to handle periodic boundary conditions.