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