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hal-00714429, version 1

Comparison of computations of asymptotic flow models in a constricted channel

Franz Chouly (, http://lmb.univ-fcomte.fr/franz-chouly) 1, Pierre-Yves Lagrée 2

Applied Mathematical Modelling (2012) In Press

Abstract: We aim at comparing computations with asymptotic models issued from incom- pressible Navier-Stokes at high Reynolds number: the Reduced Navier-Stokes/Prandtl (RNS/P) equations and the Double Deck (DD) equations. We treat the case of the steady two dimensional flow in a constricted pipe. In particular, finite differences and finite element solvers are compared for the RNS/P equations. It results from this study that the two codes compare well. Numerical examples also illustrate the interest of these asymptotic models as well as the flexibility of the finite element solver.

  • 1:  Laboratoire de Mathématiques (LM-Besançon)
  • CNRS : UMR6623 – Université de Franche-Comté
  • 2:  Institut Jean Le Rond d'Alembert (IJLRA)
  • CNRS : UMR7190 – Université Pierre et Marie Curie (UPMC) - Paris VI
  • Domain : Mathematics/Numerical Analysis
    Physics/Mechanics/Mechanics of the fluids
    Engineering Sciences/Mechanics/Fluids mechanics
  • Keywords : Triple Deck – Double Deck – Boundary Layer.
 
  • hal-00714429, version 1
  • http://hal.archives-ouvertes.fr/hal-00714429
  • oai:hal.archives-ouvertes.fr:hal-00714429
  • From: Franz Chouly <>
  • Submitted on: Wednesday, 4 July 2012 15:05:17
  • Updated on: Wednesday, 4 July 2012 16:48:57