A space-time finite element formulation for fluid-structure interaction

We present a space-time finite element formulation of the Navier-Stokes equations which is stabilized via the Galerkin/least-squares approach. The variational equation is based on the time discontinuous Galerkin method and is written in terms of the physical entropy variables over the moving and deforming space-time slabs. The formulation thus becomes analogous to the classical arbitrary Lagrangian-Eulerian technique and is therefore applicable to a broad spectrum of flow problems that involve moving free surfaces and deforming fluid-solid interfaces. Numerical simulation of a projectile moving in a stationary flow field is presented to show the versatility of the proposed methodology.