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

Gomar, Adrien and Bouvy, Quentin and Sicot, Frédéric and Dufour, Guillaume and Cinnella, Paola and François, Benjamin Convergence of Fourier-based time methods for turbomachinery wake passing problems. (2014) Journal of Computational Physics, 278. 229-256. ISSN 0021-9991

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Official URL: http://dx.doi.org/10.1016/j.jcp.2014.08.029


The convergence of Fourier-based time methods applied to turbomachinery flows is assessed. The focus is on the harmonic balance method, which is a time-domain 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.

Item Type:Article
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Airbus (FRANCE)
Other partners > Arts et Métiers ParisTech (FRANCE)
Other partners > Conservatoire National des Arts et Métiers - CNAM (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Laboratory name:
Deposited On:23 Sep 2014 08:47

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