For most of the published research considering separation control for wing sections the effect of wing motion on the fluid dynamics is neglected. In the near-stall and/or full stall regime, where separation control is of interest, some degree of wing movement is always present. Additional terms were added to a compressible Navier-Stokes code to allow for simulations of wing sections undergoing structural motion. Several circular cylinder and wing section validation cases from the literature were considered: Good agreement with earlier published results was obtained for a circular cylinder undergoing a forced and a flow-induced plunge motion. In addition, the interaction of a neutrally buoyant cylinder with a vortex pair was investigated. Simulations were also carried out for a NACA0012 wing section undergoing a harmonic pitching motion and plunging motion. For a plunging motion with a reduced frequency of k=12.3 the unsteady fluid dynamics were found to depend strongly on the freestream Mach number for 0.1≤M≤0.4. Finally, simulations for a NACA643-618 wing section illustrated that the flow field can “lock in” to a high-frequency harmonic pitching motion.