This work focuses on application of a high-order accurate scheme for coupled fluid-structure interaction problems. A simplified mathematical model is considered consisting of the Navier-Stokes equations describing the compressible fluid flow and the equation of motion describing the movement of a structure. The fluid flow is discretized using a discontinuous Galerkin method on unstructured triangular meshes, and the structure uses high-order explicit Runge-Kutta method. Results obtained by presented scheme and OpenFOAM's implementation of a finite volume scheme are compared.