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

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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.

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Authors and Affiliations

  1. Institute of Mathematics and Computing Science, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands

    A.E.P. Veldman

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  1. A.E.P. Veldman
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Veldman, A. Matched asymptotic expansions and the numerical treatment of viscous-inviscid interaction. Journal of Engineering Mathematics 39, 189–206 (2001). https://doi.org/10.1023/A:1004846400131

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  • DOI: https://doi.org/10.1023/A:1004846400131

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