An Efficient and Accurate Discrete Adjoint Method for Aerodynamic Design Optimization of Turbomachinery Blades
The key to performing efficient adjoint-based design optimization is accurate sensitivity information.First,based on the in-house Reynolds-Averaged Navier-Stokes(RANS)flow solver,the discrete adjoint solver is developed using the source code transformation automatic differentia-tion tool-Tapenade.Second,the effect of both flow and adjoint solvers'residual convergence levels,constant eddy viscosity assumption,and four different sensitivity evaluation methods on adjoint sen-sitivity accuracy is mainly studied.Then,the experiences of computing efficient and accurate adjoint sensitivity information are summarized,which provide the basis for performing efficient adjoint-based design optimization.Finally,the adjoint-based turbomachinery aerodynamic design optimization of the transonic compressor rotor-NASA Rotor 67 is performed.Moreover,the commercial software-NUMECA is used to further verify the effectiveness and reliability of the optimization results.