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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:278

Article

Gomar, Adrien¹  Bouvy, Quentin¹  Sicota, Frederic¹  Dufour, Guillaume²  Cinnella, Paola³  Francois, Benjamin^1,4 

[1] CERFACS, CFD Team, F-31057 Toulouse 1, France

[2] Univ Toulouse, ISAE, F-31400 Toulouse, France

[3] DynFluid Lab, Arts & Metiers ParisTech, F-75013 Paris, France

[4] DAirbus Operat SAS, F-31060 Toulouse 9, France

关键词: Fourier-based time methods;    Harmonic balance;    Convergence;    Spectral accuracy;    Contra-rotating open rotor;    Turbomachinery;    Wake passing;   

DOI  :  10.1016/j.jcp.2014.08.029

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free