A conforming sliding mesh technique for an embedded‐hybridized discontinuous Galerkin discretization for fluid‐rigid body interaction

In previous work, we introduced a space-time embedded-hybridizable discontinuous Galerkin method for the solution of incompressible Navier–Stokes equations on time-dependent domains which motion domain is prescribed. This discretization exactly mass conserving, locally momentum and energy-stable. this article, extend to fluid-rigid body interaction problems in fluid not known priori. To account large rotational rigid body, present novel conforming sliding mesh technique. For introduce local edge swapping algorithm such that global slab one only four different configurations. These configurations can be pre-computed thereby reducing any costs associated with changing connectivity. Furthermore, occurs within between discrete time-levels; there no spatial meshes so need project from another. We demonstrate performance various numerical examples.