Abstract
An improved numerical algorithm has been developed for the calculation of flowfields in two-dimensional high speed inlets. The full mean compressible Navier-Stokes equations are employed, with turbulence represented by an algebraic turbulent eddy viscosity. A body-oriented coordinate transformation is used to facilitate treatment of arbitrary inlet contours. The explicit finite-difference algorithm of MacCormack is utilized. Several well-known techniques for improving computational efficiency are incorporated, including time-splitting of the finite-difference operators and splitting of the mesh into several regions in the cross-stream direction. A number of new computational techniques are introduced; namely, a procedure for automatic determination of the optimal mesh splitting, and a separate treatment of the viscous sublayer and transition wall region of the turbulent boundary layers. The accuracy and efficiency of the approach is demonstrated for the specific examples of the development of a turbulent boundary layer on a flat plate, and the interaction of a shock wave with a flat plate turbulent boundary layer. In all cases, the results compare very favorably with previous numerical calculations and experimental results.
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