Journal of Engineering Mathematics

, Volume 39, Issue 1, pp 189–206

Matched asymptotic expansions and the numerical treatment of viscous-inviscid interaction

  • A.E.P. Veldman

DOI: 10.1023/A:1004846400131

Cite this article as:
Veldman, A. Journal of Engineering Mathematics (2001) 39: 189. doi:10.1023/A:1004846400131


The paper presents a personal view on the history of viscous-inviscid interaction methods, a history closely related to the evolution of the method of matched asymptotic expansions. The main challenge in solving Prandtl's boundary-layer equations has been to overcome the singularity at a point of steady flow separation. Stewartson's triple-deck theory has inspired a solution to this challenge, and thereby it paved the way for industrial use of viscous-inviscid interaction methods.

boundary-layer separationviscous-inviscid interactionmatched asymptotic expansionsnumerical simulationtransonic airfoils

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • A.E.P. Veldman
    • 1
  1. 1.Institute of Mathematics and Computing ScienceUniversity of GroningenGroningenThe Netherlands