Steady computational fluid dynamics solvers based on the Reynolds-averaged Navier–Stokes equations are the primary workhorses for turbomachinery aerodynamic analysis due to their good engineering accuracy at a low computational cost. However, even state-of-the-art steady solvers suffer from convergence slowdown or failure when applied to challenging off-design conditions. This severely limits the reliable nonlinear and linearized turbomachinery aerodynamic analysis over a wide operating range. To alleviate the convergence difficulties, a nonlinear flow solver using the Newton–Krylov method is developed. This is the first time the Newton–Krylov algorithm is used for achieving robust analysis of turbomachinery aerodynamics in the open literature. The proposed solution algorithm features 1) the exact Jacobian matrix forming, 2) straightforward parallelization, and 3) a reliable globalization strategy; and it aims to achieve fast machine-zero convergence. The solver accuracy is validated using four test cases: an airfoil, a linear turbine cascade, a centrifugal compressor, and an axial compressor. Machine-zero convergence is achieved for all cases over a wide range of operating conditions without manual intervention. The method shows great potential for enabling an automated and reliable whole-map turbomachinery aerodynamic analysis, and it paves the way for a robust and efficient linearized aerodynamic analysis, such as adjoint, time-linearized, and eigenvalue analyses.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Newton–Krylov Solver for Robust Turbomachinery Aerodynamic Analysis


    Contributors:

    Published in:

    AIAA Journal ; 58 , 3 ; 1320-1336


    Publication date :

    2020-03-01




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    Improvements to a Newton-Krylov Solver for Aerodynamic Flows

    Pueyo, A. / Zingg, D. W. / AIAA | British Library Conference Proceedings | 1998



    Improvements to a Newton-Krylov solver for aerodynamic flows

    Pueyo, Alberto / Zingg, David | AIAA | 1998


    Newton-Krylov Full-Space Aerodynamic Shape Optimization

    Shi-Dong, Doug / Nadarajah, Sivakumaran | AIAA | 2021