  We present a novel (high-order) hybridizable discontinuous Galerkin (HDG)
scheme for the fluid-structure interaction (FSI) problem. The (moving domain)
incompressible Navier-Stokes equations are discretized using a divergence-free
HDG scheme within the arbitrary Lagrangian-Euler (ALE) framework. The nonlinear
elasticity equations are discretized using a novel HDG scheme with an
H(curl)-conforming velocity/displacement approximation. We further use a
combination of the Nitsche's method (for the tangential component) and the
mortar method (for the normal component) to enforce the interface conditions on
the fluid/structure interface. A second-order backward difference formula
(BDF2) is use for the temporal discretization. Numerical results on the
classical benchmark problem by Turek and Hron show a good performance of our
proposed method.
