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The Boundary Layer Problem of Triple Deck Type

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Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

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Abstract

We give the formulation of the Von Mises problem of the boundary layer of triple deck type. An original non-local condition appears. We prove the existence of a solution by studying a semi-discrete scheme in which we consider the pressure gradient as a parameter. We then obtain a solution in physical variables but the condition v(x, 0) = 0 is not proved. Besides, the numerical simulations give a surprising nonuniqueness result with given pressure in the case of a break-away.

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References

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  3. Plantié, L.: Le problème de la couche interne des modèles asymptotiques de type triple couche: modèle, analyse et simulations numériques. Ph.D. thesis, Department of Applied Mathematics, Université Paul Sabatier, Toulouse (1997).

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  4. Plantié, L.: A semi-discrete problem for the boundary layer of triple deck type (part I). CERFACS Report TR/PA/00/45 (2000) http://www.cerfacs.fr/algor.

  5. Plantié, L.: A semi-discrete problem for the boundary layer of triple deck type (part II). CERFACS Report TR/PA/00/46 (2000) http://www.cerfacs.fr/algor.

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Author information

Authors and Affiliations

  1. CERFACS, 42 Avenue Gaspard Coriolis, 31057, Toulouse cedex 01, France

    Laurent Plantié

Authors
  1. Laurent Plantié
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Rousse, 7000, Rousse, Bulgaria

    Lubin Vulkov  & Plamen Yalamov  & 

  2. UNI-C,Danish Computing Center for Research and Education, DTU,Building 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2001 Springer-Verlag Berlin Heidelberg

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Plantié, L. (2001). The Boundary Layer Problem of Triple Deck Type. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_80

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  • DOI: https://doi.org/10.1007/3-540-45262-1_80

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

  • eBook Packages: Springer Book Archive

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