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Intermodal energy transfers in a proper orthogonal decomposition–Galerkin representation of a turbulent separated flow

Published online by Cambridge University Press:  27 August 2003

M. COUPLET
Affiliation:
ONERA, DSNA, 29 av. de la Division Leclerc, 92322 Châtillon, France
P. SAGAUT
Affiliation:
ONERA, DSNA, 29 av. de la Division Leclerc, 92322 Châtillon, France Laboratoire de Modélisation en Mécanique, Université Pierre et Marie Curie, Boite 162, 4 place Jussieu, 75252 Paris Cedex 5, France
C. BASDEVANT
Affiliation:
ONERA, DSNA, 29 av. de la Division Leclerc, 92322 Châtillon, France Laboratoire de Météorologie Dynamique, École Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 5, France

Abstract

Energy transfers between modes obtained from the proper orthogonal decomposition (POD) of a turbulent flow past a backward-facing step are analysed with the aim of providing guidelines for modelling unresolved modes in truncated POD–Galerkin models. It is observed that energy transfers are local in the POD basis, and that the Fourier-decomposition-based concepts of forward and backward energy cascades are also valid in the POD basis, the net effect being a forward energy cascade. General features of the eddy-viscosity representation of kinetic energy transfers are investigated through a priori tests. It is observed that the ideal eddy-viscosity model should exhibit a cusp behaviour near the cutoff mode.

Type
Papers
Copyright
© 2003 Cambridge University Press

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