ON THE NUMERICAL SOLUTION OF THE BOUNDARY LAYER EQUATIONS.
NEW YORK UNIV N Y DEPT OF AERONAUTICS AND ASTRONAUTICS
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The numerical solution of the boundary layer equations by means of the implicit finite-difference scheme is examined in detail. Based on Tings analysis of the compatibility condition for the velocity components at the initial station the present analysis shows that Flugge-Lotz and Blottner and Smith and Clutter overspecify the initial conditions. To be consistent with the formulation of the problem, a modification of the implicit finite-difference scheme is presented. While the original integration procedure for the momentum and energy equations is retained, the integration of the continuity equation is facilitated simultaneously by an iteration process. In this manner the difficulties at the start of the integration are eliminated and no additional initial conditions on the normal velocity component or the streamwise derivatives of u and T have to be imposed. Several numerical examples are included to demonstrate the application of the method. Author
- Numerical Mathematics
- Fluid Mechanics