A Special Galerkin Method for a Class of Steady Two-Dimensional Incompressible Laminar Boundary-Layer Flows.

摘要

A class of steady two-dimensional incompressible laminar boundary layer flows is solved by the proposed Galerkin method in which the approximating functions are closely related to the eigenfunctions of the governing equation. The method has been tested on two typical boundary layer flows of different nature, a linearly retarded flow and a flow past a circular cylinder. The analysis of the method and the numerical experiments on the two examples have indicated that highly accurate results for the entire flow region can be obtained only if the assumed finite series solution in the Galerkin's procedure satisfies closely the compatibility conditions of the problem. It also suggests that the set of approximating functions found is indeed general enough to permit solutions of all conceivable problems governed by the system of boundary layer equations considered. It is recommended that the method be investigated further by taking an assumed series solution which would satisfy more closely the compatibility conditions of the problems. (Author)