A two-dimensional inviscid flow solver is developed for the calculation of unsteady around bodies in motion usina unstructured meshes. The numerical scheme is based on the cell-centered finite-volume method and the Roe`s flux-clifference splitting with an explicit Run-e-Kutta fin-te integration. N/leshes around moving bodies a-re allowed to follow the motion of the body by introducing the mesh window concept. Inter-mediate remeshing is also adopted for poor quality meshes due to defo=ation. Local mesh adaptation ;, implemented to enhance the solution accuracy of the high gradient flow features. The accurac-v of the numerical technique is demonstrated by comparing the results of oscillating airfoils with experimental data. For the unsteady flow arialysis with relative motion, wing/store separation with relative translational and rotational motion is investigated.