Numerical Solution of Asymptotic Two-Point Boundary Value Problems with Application to the Swirling Flow over a Plane Disk
A technique is presented for the numerical solution of asymptotic two-point boundary value problems. Thereby the boundary layer part of the solution, defined over a finite interval, is splitted from the asymptotic part of the solution. By a linearization technique one obtains surrogate boundary conditions so that the infinite problem can be efficiently approximated by a finite problem. This allows the convenient application of standard software for the solution of two-point boundary value problems. As a main example, the swirling flow of a viscous incompressible fluid over an infinite plane disk is investigated. Limitations of the procedure are discussed.
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