A numerical procedure has been developed which determines steady state solutions of the turbulent two-dimensional Navier-Stokes equations as the asymptotic large-time limit of the full unsteady equations. The formulation is presented for inviscid flow, laminar flow and turbulent flow using an analytic transformation from the physical space around the body to a computational space. Accurate boundary conditions are derived for inviscid and laminar flow. Inviscid flow calculations for several body shapes show convergence to the steady state solution. The formulation for turbulent flow incorporates equations for turbulence energy and dissipation, and uses a law-of-the-wall boundary condition to avoid the need for fine mesh spacing in the laminar sublayer. Results are presented for a symmetric Joukowsky airfoil for completely laminar flow and for laminar flow with transition to turbulence.


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    Title :

    Numerical solution of subsonic viscous-inviscid interacting flows


    Additional title:

    Numerische Loesung fuer zusammenwirkende zaehe und reibungsfreie Stroemungen bei Unterschallgeschwindigkeit


    Contributors:
    Verhoff, A. (author)

    Published in:

    Publication date :

    1976


    Size :

    112 Seiten


    Type of media :

    Report


    Type of material :

    Print


    Language :

    English