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Numerical Solution of Asymptotic Two-Point Boundary Value Problems with Application to the Swirling Flow over a Plane Disk

  • Hans Josef Pesch
  • Peter Rentrop
Conference paper

Abstract

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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Copyright information

© B. G. Teubner Stuttgart 1989

Authors and Affiliations

  • Hans Josef Pesch
    • 1
  • Peter Rentrop
    • 1
  1. 1.Mathematisches InstitutTechnische Universität MünchenMünchen 2Germany

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