A New Method in Inverse Design, Based on Ball-Spine for Axisymmetric Ducts with Application in Gas Turbines

In this study, a novel inverse design method is introduced for axisymmetric ducts in subsonic regimes. This method is an indirect one and starts with an initial guess. In this algorithm, the duct walls are simulated by hypothetical balls moving freely in specified directions, called spines. The advantages of this shape modification algorithm are high convergence rate and performing as a black box. Thus, the algorithm can easily be combined with any efficient flow solver. Based on this algorithm, the final nozzle propulsive force is increased about 7%.