In the present study, an unsteady flow simulations of a variable geometry nozzle were conducted using a two-dimensional flow solver based on hybrid unstructured meshes. The variable geometry nozzle are used to obtain the efficient performance of the aircraft engines at various operating conditions. To describe the motion of the variable geometry nozzle, an algebraic method based on the basis decomposition of normal edge vector was used for the deformation of viscous elements, and a ball-vertex spring analogy was used for inviscid elements. Aerodynamic data were obtained for a range of nozzle pressure ratios and the steady results were compared with available experimental data. The results show that the nozzle performances are influenced by geometry variations.