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Numerical Solution of a Class of Integral Equations Arising in Two-Dimensional Aerodynamics—The Problem of Flaps

  • J. A. Fromme
  • M. A. Golberg
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 18)

Abstract

Bland’s collocation method is extended to calculate aerodynamic forces on airfoils with flaps. This requires the solution of Cauchy singular integral equations with discontinuous right-hand sides. Straightforward application of collocation is shown to yield slow convergence, of order 1/N. Examination of a variety of methods that have been proposed to accelerate convergence leads us to select a simple form of extrapolation as an effective means of achieving engineering accuracy. Numerical results are presented supporting these assertions.

Keywords

Wind Tunnel Subsonic Flow Transonic Flow National Advisory Committee Subsonic Speed 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • J. A. Fromme
    • 1
  • M. A. Golberg
    • 1
  1. 1.University of Nevada at Las VegasLas VegasUSA

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