Time-dependent inverse solution of three-dimensional, compressible, turbulent, integral boundary-layer equations in nonorthogonal curvilinear coordinates

  • T. W. Swafford
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 218)


A method for computing three-dimensional, turbulent, compressible boundary layers in a time-dependent inverse mode has been developed and results compared with measurements. The three-dimensional inverse formulation is well suited for incorporation into an inviscid solver for viscous/inviscid interaction calculations.

It can be concluded that although the inverse formulation appears to yield more accurate solutions compared to solutions obtained from the direct formulation, the present inverse form of the equations has coefficient matrices which yield complex eigenvalues for some flow conditions. For the van den Berg infinite swept wing case, this appears to result in instabilities when solving the equations using a four-stage Runge-Kutta scheme, whereas the MacCormack scheme enabled a converged solution to be obtained. However, the latter solution magnifies the inherent inadequacies of integral methods which must rely upon empirical correlations being accurate over a very wide range of flow conditions. Accuracy of the present integral method will therefore be limited until more general correlations, particularly the crossflow velocity profile model, are incorporated into the code.


Turbulent Boundary Layer AIAA Paper Flow Angle Compressible Boundary Layer Edge Velocity 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • T. W. Swafford
    • 1
  1. 1.Sverdrup Technology, Inc./AFDC GroupArnold Air Force StationUSA

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