A new finite-difference scheme has been developed to solve efficiently the unsteady Euler equations for three-dimensional inviscid supersonic flows with subsonic pockets. The technique utilizes planar Gauss-Seidel relaxation in the marching direction and approximate factorization n the crossflow plane. An 'infinitely large' time step is used in parts of the flowfield where the component of velocity in the marching direction is supersonic - here the Gauss-Seidel sweeps are restricted to the forward direction only, and the procedure reduces to simple space-marching; a finite time step is used in parts of the flowfield where the marching component of velocity is subsonic - here, backward and forward Gauss-Seidel sweeps are employed to allow for upstream and downstream propagation of signals, and a time-asymptotic steady state is obtained. The discretization formulas are based on finite-volume implementation of high accuracy (up to third-order) total variation diminishing formulations. Numerical solutions are obtained for an analytically defined forebody, a realistic fighter configuration, and the Space Shuttle. The results are in very good agreement with available experimental data and numerical solutions of the full-potential equation.


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    Title :

    Euler solver for three-dimensional supersonic flows with subsonic pockets


    Contributors:

    Published in:

    Publication date :

    1987-02-01



    Type of media :

    Miscellaneous


    Type of material :

    No indication


    Language :

    English


    Keywords :


    Euler solver for three-dimensional supersonic flows with subsonic pockets

    CHAKRAVARTHY, SUKUMAR R. / SZEMA, KUO-YEN | AIAA | 1987


    Euler solver for three-dimensional supersonic flows with subsonic pockets

    CHAKRAVARTHY, SUKUMAR / SZEMA, KUO-YEN | AIAA | 1985




    Separated supersonic and subsonic flows

    Chapman, D. R. / Kuehn, D. M. / Larson, H. K. | NTRS | 1955