Abstract

An integral method is presented for computing three-dimensional, time-dependen t, compressible, turbulent boundary layers in nonorthogonal curvilinear coordinates. Derivation of the momentum and mean-flow kinetic energy integral equations is given along with the auxiliary relations required for solution. Although the equations derived are valid for unsteady flow, only steady-state results are presented. The integral form of the equations is used in the interest of computational speed and because the three-dimensional method is an extension of an existing two-dimensional method. A time-dependent approach is used to provide a method that can use the same surface grid as an inviscid solver for use in viscous/invis cid 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 difference approximations. Computed steady-state results are shown to compare favorably with measurements and with computations of previous investigators.

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