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Non-Uniform Time Sampling for Multiple-Frequency Harmonic Balance Computations

Guédeney, Thomas and Gomar, Adrien and Gallard, François and Sicot, Frédéric and Dufour, Guillaume and Puigt, Guillaume Non-Uniform Time Sampling for Multiple-Frequency Harmonic Balance Computations. (2013) Journal of Computational Physics, 236. 317-345. ISSN 0021-9991

(Document in English)

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Official URL: http://dx.doi.org/10.1016/j.jcp.2012.11.010


A time-domain harmonic balance method for the analysis of almost-periodic (multi-harmonics) flows is presented. This method relies on Fourier analysis to derive an efficient alternative to classical time marching schemes for such flows. It has recently received significant attention, especially in the turbomachinery field where the flow spectrum is essentially a combination of the blade passing frequencies. Up to now, harmonic balance methods have used a uniform time sampling of the period of interest, but in the case of several frequencies, non-necessarily multiple of each other, harmonic balance methods can face stability issues due to a bad condition number of the Fourier operator. Two algorithms are derived to find a non-uniform time sampling in order to minimize this condition number. Their behavior is studied on a wide range of frequencies, and a model problem of a 1D flow with pulsating outlet pressure, which enables to prove their efficiency. Finally, the flow in a multi-stage axial compressor is analyzed with different frequency sets. It demonstrates the stability and robustness of the present non-uniform harmonic balance method regardless of the frequency set.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at Journal of computational physics website: http://www.sciencedirect.com/science/journal/00219991/
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution: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)
Other partners > SAFRAN (FRANCE)
Laboratory name:
Deposited On:14 Mar 2013 14:04

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