A new upwind algorithm based on Roe's scheme has been developed to solve the two-dimensional parabolized Navier-Stokes equations. This method does not require the addition of user-specified smoothing terms for the capture of discontinuities such as shock waves. Thus, the method is easy to use and can be applied without modification to a wide variety of supersonic flowfields. The advantages and disadvantages of this adaptation are discussed in relation to those of the conventional Beam-Warming (1978) scheme in terms of accuracy, stability, computer time and storage requirements, and programming effort. The new algorithm has been validated by applying it to three laminar test cases, including flat-plate boundary-layer flow, hypersonic flow past a 15-deg compression corner, and hypersonic flow into a converging inlet. The computed results compare well with experiment and show a dramatic improvement in the resolution of flowfield details when compared with results obtained using the conventional Beam-Warming algorithm.


    Access

    Access via TIB

    Check availability in my library


    Export, share and cite



    Title :

    Upwind algorithm for the parabolized Navier-Stokes equations


    Contributors:

    Published in:

    Publication date :

    1989-09-01



    Type of media :

    Miscellaneous


    Type of material :

    No indication


    Language :

    English


    Keywords :


    Upwind Algorithm For Parabolized Navier-Stokes Equations

    Lawrence, Scott L. / Chaussee, Denny S. / Tannehill, John C. | NTRS | 1990


    Upwind algorithm for the parabolized Navier-Stokes equations

    LAWRENCE, SCOTT L. / TANNEHILL, JOHN C. / CHAUSEE, DENNY S. | AIAA | 1989



    An upwind algorithm for the parabolized Navier-Stokes equations

    LAWRENCE, S. / TANNEHILL, J. / CHAUSSEE, D. | AIAA | 1986