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

In: Practical Asymptotics

Author

Listed:
  • A. E. P. Veldman

    (University of Groningen, Institute of Mathematics and Computing Science)

Abstract

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.

Suggested Citation

  • A. E. P. Veldman, 2001. "Matched asymptotic expansions and the numerical treatment of viscous-inviscid interaction," Springer Books, in: H. K. Kuiken (ed.), Practical Asymptotics, pages 189-206, Springer.
    • Handle: RePEc:spr:sprchp:978-94-010-0698-9_10
    DOI: 10.1007/978-94-010-0698-9_10
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