Three-Dimensional, Time-Dependent, Compressible, Turbulent, Integral Boundary-Layer Equations in General Curvilinear Coordinates and Their Numerical Solution
Final rept. Aug 1982-Aug 1983
ARNOLD ENGINEERING DEVELOPMENT CENTER ARNOLD AFB TN
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A method is presented for computing three-dimensional, time- dependent, compressible, turbulent boundary layers in nonorthogonal curvilinear coordinates. An integral method is employed in the interest of computational speed and because the three-dimensional method is an extension of an existing two-dimensional method. After presenting a detailed derivation of the integral form of the boundary-layer equations, the necessary auxiliary relations are given along with the relationships between integral lengths expressed in streamline and nonorthogonal coordinates. A time dependent approach is used to account for time accuracy if desired and to provide a method that is compatible with the surface grid used by an inviscid solver for use in viscous- inviscid interaction calculations. The equations are solved using a Runge-Kutta scheme with local time stepping to accelerate convergence. Stability and convergence of the numerical scheme are examined for various space differences compared with measurements and with computations of previous investigators.
- Fluid Mechanics