Numerical Study of Transonic Shock/Boundary Layer Interactions on an Oscillating Airfoil Using a Third-Order Scheme and Nonlinear Turbulence Models

  • Paola Cinnella
Conference paper


The understanding and the prediction of unsteady shock/turbulent boundary layer interactions is of great importance for many external and internal aerodynamic applications, notably when the shock is strong enough to produce massive boundary layer separation. This kind of phenomena represents a really challenging CFD problem, both for turbulence models and numerical methods. The modeling difficulties are related to the simultaneous occurrence of compressibility effects, strong pressure gradients, boundary layer separation, streamline curvature, all of which give rise to unequal normal Reynolds stresses. In such cases, standard eddy viscosity models generally show all their deficiencies, inherent to the linear description chosen for the Reynolds stress tensor. Additional difficulties are due to flow unsteadiness: as pointed out in [1], standard transport equation models, by their nature, are not completely suitable for time-dependent calculations; on the other hand more sofisticated approaches are still not reliable enough and too much expensive to be used in such extremely complex unsteady flow fields. It is then necessary to look for some compromise solution: an ”optimal” turbulence model for transonic separated unsteady flows should account for more flow physics than standard Boussinesq models and, at the same time, have good numerical robustness and moderate computational cost. ¿From this point of view, the new generation of algebraic Reynolds stress closures seems to be quite promising.


Turbulence Model Unsteady Flow AIAA Paper Layer Interaction Reynolds Stress Tensor 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Paola Cinnella
    • 1
  1. 1.SINUMEF LaboratoryEcole Nationale Supérieure d’Arts et MétiersParisFrance

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