Calculation of turbulent supersonic flows

In this paper a finite volume procedure which combines flux-difference splitting and flux-vector splitting with an explicit treatment of viscosity terms, is extended from its essentially laminar or eddy viscosity form to include the equations for the second moments of turbulence and turbulence dissipation. The focus is on supersonic flows. The laminar version of the code is robust and accurate. The turbulence version is less robust for a couple of reasons, one of which is the choice, of initial conditions. However, when appropriate conditions are used, the calculated solutions compared well with measurements of supersonic turbulent boundary layers at Reynolds number, Re/m = 6. 5 x 10⁷ and Mach number M_∞ = 2. 87. We discuss our observations and ways to resolve some of the numerical difficulties, with sample results to show that accurate calculations are quite possible.