To optimize the shape of a cascade where velocity (or pressure) distribution is optimally given.

    Design/methodology/approach

    The semi-inverse method suggested by Ji-Huan He is applied to establishment of a variational theory for the discussed inverse problem. The boundary conditions on unknown shape are converted into the natural boundary conditions of the obtained variational functional.

    Findings

    Ji-Huan He's semi-inverse method is a powerful tool to the search for the variational formulation for the discussed problem. The derivation procedure is very simple and convenient; the finite element method based on the variational theory with moving boundary provides a very effective and robust numerical approach to the inverse problem.

    Research limitations/implications

    The design method is limited to frictionless flow.

    Practical implications

    The numerical method based on variational principle with moving boundary can be readily extended to other cases with moving surfaces or free boundaries.

    Originality/value

    The suggested numerical method can satisfy the demand of various cascade designs, where the velocity (or pressure) distribution can be optimally given from different aspects of engineering requirement: aerodynamics, strength, manufacture, etc.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Inverse design problem for optimizing cascades


    Contributors:

    Published in:

    Publication date :

    2006-11-01


    Size :

    7 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    INVERSE DESIGN OF TURBOMACHINERY CASCADES

    Ozhamam, M. / Eyi, S. / American Institute of Aeronautics and Astronautics | British Library Conference Proceedings | 2003


    "Aerodynamic Inverse Design of Transonic Turbomachinery Cascades"

    Ahmadi, M. / Ghaly, W. S. / Canadian Aeronautics and Space Institute | British Library Conference Proceedings | 1999


    Adjoint Optimization Method for Aerodynamic Inverse Problem of Cascades

    Zhu, Yujie / Ju, Yaping / Dai, Ren et al. | British Library Online Contents | 2017


    AIAA 2001-0387 Inverse Design of Compressor Cascades

    Kaplan, B. / Eyi, S. / AIAA | British Library Conference Proceedings | 2001