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A PRIORI ANALYSIS OF POD REDUCED ORDER MODELS FOR SIMULATION OF TURBULENT FLOWS

Simone Camarri
Department of Aerospace Engineering, University of Pisa V. G. Caruso, 56126 Pisa, Italy

Maria-Vittoria Salvetti
Dipartimento di Ingegneria Aerospaziale, Università di Pisa, Via G. Caruso, 56122 Pisa, Italy

Francois Beux
Scuola Normale Superiore di Pisa, Italy

Angelo lollo
Department of Aeronautic and Space Engineering, Politecnico of Torino, Italy

Alfredo Soldati
Centro Interdipartimentale di Fluidodinamics e Idraulica, Dipartimento di Energetica e Macchine, Universita degli Studi di Udine, Via delle Scienze 208, 33100 Udine, Italy

Abstract

Different POD approaches are investigated in a priori tests for turbulent channel flow. In addition to the classical POD decomposition, in which the modes are computed in order to have an optimal representation of the L2 norm of velocity, POD bases are also obtained by maximizing either the Hε1 norm of velocity or the L2 norm of vorticity. The velocity fields reconstructed by considering an increasing number of POD modes are compared with those obtained in direct numerical simulation. The accuracy in reproducing statistical moments and near-wall structures and events is evaluated. The physical significance of the POD bases generated in the different approaches is investigated.