| This study presents a Non-Linear Frequency Domain (NLFD) method for the simulation of periodic unsteady flows for overset meshes. The main objective is to allow the simulation of unsteady flows for geometries that are too complex for traditional meshing techniques. The current research describes in detail both the formulation of the governing equations and the framework allowing overlapping meshes with the NLFD technique. The approach is firstly validated through the simulation of a vortex advection. Secondly, this work presents the steady flow simulation for a NACA-0012 airfoil in transonic flow. Lastly, pitching, forced flutter and flapping motions are presented to assess of the validity of the framework for complex unsteady flows. |