| We present a high-order accurate scheme for fully coupled fluid-structure interaction problems. The fluid is discretized using a discontinuous Galerkin method on unstructured tetrahedral meshes, and the structure uses a high-order volumetric continuous Galerkin finite element method. Standard radial basis functions are used for the mesh deformation. The time integration is performed using a partitioned approach based on implicit-explicit Runge-Kutta methods. The resulting scheme fully decouples the implicit solution procedures for the fluid and the solid parts, which we perform using two separate efficient parallel solvers. We demonstrate up to fifth order accuracy in time on a non-trivial test problem, on which we also show that additional subiterations are not required. We solve a benchmark problem of a cantilever beam in a shedding flow, and show good agreement with other results in the literature.;In addition, we create several simulations which are motivated by real-world phenomena. First, we investigate flow around a thin membrane at high-angle of attack, demonstrating the ability of the leading edge of the membrane to align with the incident flow. Examples are provided in both two and three dimensions. Next, we consider biologically inspired flight, by investigating wing-like structures driven in a flapping motion in both two and three dimensions.;Finally, we demonstrate how the method may be used in acoustics problems, simulating a tuning fork in three dimensions. Here we accurately capture decay rates purely from the fluid-structure interaction and without any damping coefficients built into the structure model. |
