Abstract
The efficient method to solve two-dimensional, incompressible, steady, partially parabolized Navier-Stokes equations has been presented. The method has been extended from Keller's BOX method for boundary-layer equations. The Israeli's source term, a streamwise direction staggered grid and a multi-grid procedure have been applied in order to obtain numerical stability and fast convergence. Quantitative comparisons with Briley's full Navier-Stokes solutions of a separation bubble problem and Nishioka's experimental data of a flat plate trailing edge problem have been made. In the former case, the agreement is excellent, and the pressure distribution at the wall also agrees well with Carter's inverse boundary-layer solution. In the latter case, the agreement is reasonable. It is also found that the pressure gradients in both the streamwise and normal directions are almost of the same order. This suggests that the omission of the normal momentum equation, i.e., the boundary-layer equations, is supposed to be a rough approximation for the trailing edge flow.
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