Steinhoff and Jameson (1981) have shown that within a certain range of angle of attack and freestream Mach number, numerical solutions of the full-potential equation for flow past an airfoil are not unique. This study was mainly concerned with showing that the anomaly is inherent to the partial-differential equation governing the flow and not a result of its discrete representation. Steinhoff and Jameson conjectured that the anomaly may have a physical basis. The present investigation has two objectives. Results are to be presented which indicate that the anomaly is due to a breakdown in the potential approximation, rather than a phenomenon associated with the inviscid flowfield. The second objective is to show that the lift coefficient, predicted by the potential equation, is a smooth but multivalued function of the angle of attack.


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    Title :

    Nonunique solutions to the transonic potential flow equation


    Contributors:
    Salas, M. D. (author) / Gumbert, C. R. (author) / Turkel, E. (author)

    Published in:

    Publication date :

    1984-01-01



    Type of media :

    Miscellaneous


    Type of material :

    No indication


    Language :

    English


    Keywords :


    Nonunique Solutions to the Transonic Potential Flow Equation

    M. D. Salas / C. R. Gumbert | AIAA | 1984


    Nonunique Solutions in Unsteady Transonic Flow

    Murty, H.S. | Online Contents | 1993



    Multiple solutions of the transonic potential flow equation

    STEINHOFF, J. / JAMESON, A. | AIAA | 1981


    Multiple Solutions of the Transonic Potential Flow Equation

    John Steinhoff / Antony Jameson | AIAA | 1982