The Shear-Slip Mesh Update Method, designed to handle certain classes of flow
problems with moving boundaries and interfaces, is presented. Specifically, we
focus on problems with large but regular boundary displacements, such as
straight-line translation or rotation. These motions are accommodated by using a
thin layer of deforming space-time elements, together with limited remeshing
without any projection at space-time slab interfaces. As examples, 2D flow around
two counter-rotating squares and 3D flow past a propeller are presented.