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    Solution of transonic flows by an integro-differential equation method

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    Date
    1978
    Author
    Ogana, W
    Type
    Technical Report
    Language
    en
    Metadata
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    Abstract
    Solutions of steady transonic flow past a two-dimensional airfoil are obtained from a singular integro-differential equation which involves a tangential derivative of the perturbation velocity potential. Subcritical flows are solved by taking central differences everywhere. For supercritical flows with shocks, central differences are taken in subsonic flow regions and backward differences in supersonic flow regions. The method is applied to a nonlifting parabolic-arc airfoil and to a lifting NACA 0012 airfoil. Results compare favorably with those of finite-difference schemes.
    URI
    http://hdl.handle.net/11295/46565
    Citation
    Ogana, W. (1978). Solution of transonic flows by an integro-differential equation method. NASA STI/Recon Technical Report N, 78, 26391.
    Publisher
    University of Nairobi.
     
    School of Mathematics
     
    Subject
    DIFFERENTIAL EQUATIONS
    INTEGRAL EQUATIONS
    NUMERICAL INTEGRATION
    PROBLEM SOLVING
    TRANSONIC FLOW
    AERODYNAMICS
    AIRFOIL PROFILES
    MATRICES (MATHEMATICS)
    PERTURBATION
    STEADY FLOW
    Collections
    • School Of Mathematics [35]

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