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Convergence of Fourier-based time methods for turbomachinery wake passing problems

Article dans une revue avec comité de lecture
Author
GOMAR, Adrien
27660 Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique [CERFACS]
BOUVY, Quentin
27660 Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique [CERFACS]
SICOT, Frédéric
27660 Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique [CERFACS]
DUFOUR, Guillaume
82720 Institut Supérieur de l'Aéronautique et de l'Espace [ISAE-SUPAERO]
CINNELLA, Paola
134975 Laboratoire de Dynamique des Fluides [DynFluid]
FRANCOIS, Benjamin
27660 Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique [CERFACS]

URI
http://hdl.handle.net/10985/10074
DOI
10.1016/j.jcp.2014.08.029
Date
2014
Journal
Journal of Computational Physics

Abstract

The convergence of Fourier-based time methods applied to turbomachinery flows is assessed. The focus is on the harmonic balance method, which is a timedomain Fourier-based approach standing as an efficient alternative to classical time marching schemes for periodic flows. In the literature, no consensus exists concerning the number of harmonics needed to achieve convergence for turbomachinery stage configurations. In this paper it is shown that the convergence of Fourier-based methods is closely related to the impulsive nature of the flow solution, which in turbomachines is essentially governed by the characteristics of the passing wakes between adjacent rows. As a result of the proposed analysis, a priori estimates are provided for the minimum number of harmonics required to accurately compute a given turbomachinery configuration. Their application to several contra-rotating open-rotor configurations is assessed, demonstrating the practical interest of the proposed methodology.

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