Numerical solutions of three-dimensional time-dependent compressible turbulent integral boundary-layer equations in general curvilinear coordinates
Abstract
A method is presented for computing three-dimensional, time-dependent compressible turbulent boundary layers in nonorthogonal 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. The necessary auxiliary relations are given along with the relationships between 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. 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. Finally, computed steady-state results are compared with measurements and with computations of previous investigators.
- Publication:
-
16th Fluid and Plasma Dynamics Conference
- Pub Date:
- July 1983
- Bibcode:
- 1983fpdy.confQ....S
- Keywords:
-
- Boundary Layer Equations;
- Compressible Boundary Layer;
- Computational Fluid Dynamics;
- Integral Equations;
- Three Dimensional Boundary Layer;
- Turbulent Boundary Layer;
- Boundary Value Problems;
- Momentum;
- Runge-Kutta Method;
- Spherical Coordinates;
- Time Dependence;
- Fluid Mechanics and Heat Transfer