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Reduced-order modeling for unsteady transonic flows around an airfoil
Author(s) -
Rémi Bourguet,
Marianna Braza,
Alain Dervieux
Publication year - 2007
Publication title -
physics of fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.188
H-Index - 180
eISSN - 1089-7666
pISSN - 1070-6631
DOI - 10.1063/1.2800042
Subject(s) - transonic , airfoil , reynolds number , mach number , mathematics , mechanics , physics , compressible flow , compressibility , aerodynamics , turbulence
High-transonic unsteady flows around an airfoil at zero angle of incidence and moderate Reynolds numbers are characterized by an unsteadiness induced by the von Kármán instability and buffet phenomenon interaction. These flows are investigated by means of low-dimensional modeling approaches. Reduced-order dynamical systems based on proper orthogonal decomposition are derived from a Galerkin projection of two-dimensional compressible Navier-Stokes equations. A specific formulation concerning density and pressure is considered. Reduced-order modeling accurately predicts unsteady transonic phenomena

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