Journal of Engineering Mathematics

, Volume 39, Issue 1, pp 189–206 | Cite as

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

  • A.E.P. Veldman


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 separation viscous-inviscid interaction matched asymptotic expansions numerical simulation transonic airfoils 


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  1. 62.
    R. Agarwal, Computational fluid dynamics of whole-body aircraft. Ann. Rev. Fluid Mech. 31 (1999) 125–169.Google Scholar
  2. 63.
    W. Haase, F. Brandsma, E. Elsholz, M. Leschziner and D. Schwamborn (eds.), EUROVAL – An European Initiative on Validation of CFD Codes. Notes on Numerical Fluid Mechanics 42. Braunschweig: Vieweg (1993) 530 pp.Google Scholar
  3. 64.
    T. Cebeci, H. Hefazi, F. Roknaldin and L.W. Carr, Predicting stall and post-stall behaviour of airfoils at low Mach numbers. AIAA J. 33 (1995) 595–602.Google Scholar
  4. 65.
    A.J. van derWees and J. van Muijden, A fast and robust viscous-inviscid interaction solver for transonic flow about wing/body configurations on the basis of full potential theory. AIAA paper 93-3026 (1993).Google Scholar
  5. 66.
    P.D. Smith, A viscous package for attached and separated flows on swept and tapered wings. RAE Technical Report 89027 (1989).Google Scholar
  6. 67.
    M. Drela and M.B. Giles, ISES: a two-dimensional viscous aerodynamic design and analysis code. AIAA paper 87-1118 (1987).Google Scholar
  7. 68.
    A. Verhoff, H.H. Chen, T. Cebeci and T. Michal, An accurate and efficient interactive boundary-layer method for analysis and design of airfoils. AIAA paper 96-0328 (1996).Google Scholar

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

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