In the absence of instabilities, the large deterministic scales of turbomachinery flows resulting from the periodic rotation of blades can be considered periodic in time. Such flows are not simulated with enough efficiency when using classical unsteady techniques as a transient regime must be bypassed. New techniques, dedicated to time-periodic flows and based on Fourier analysis, have been developed recently. Among these, harmonic balance methods cast a time-periodic flow computation in several coupled steady flow computations. A time-domain harmonic balance method is derived and adapted to phase lag periodic conditions to allow the simulation of only one blade passage per row regardless of row blade counts. Sophisticated space and time interpolations are involved and detailed. The test case is a single stage subsonic compressor. A convergence study of the present harmonic balance is performed and compared with a reference well-resolved classical unsteady flow simulation. The results show, on one hand, the good behavior of the harmonic balance and its ability to correctly predict global quantities as well as local flow pattern; on the other hand, the simulation time is drastically reduced.
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e-mail: frederic.sicot@cerfacs.fr
e-mail: guillaume.dufour@cerfacs.fr
e-mail: nicolas.gourdain@cerfacs.fr
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January 2012
Research Papers
A Time-Domain Harmonic Balance Method for Rotor/Stator Interactions
Frédéric Sicot,
Frédéric Sicot
Research Engineer
Computational Fluid Dynamics Team,
e-mail: frederic.sicot@cerfacs.fr
Centre Européen de Recherche et Formation Avancées en Calcul Scientifique
, 42 Avenue Coriolis, 31057 Toulouse Cedex, France
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Guillaume Dufour,
Guillaume Dufour
Senior Researcher
Computational Fluid Dynamics Team,
e-mail: guillaume.dufour@cerfacs.fr
Centre Européen de Recherche et Formation Avancées en Calcul Scientifique
, 42 Avenue Coriolis, 31057 Toulouse Cedex, France
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Nicolas Gourdain
Nicolas Gourdain
Senior Researcher
Computational Fluid Dynamics Team,
e-mail: nicolas.gourdain@cerfacs.fr
Centre Européen de Recherche et Formation Avancées en Calcul Scientifique
, 42 Avenue Coriolis, 31057 Toulouse Cedex, France
Search for other works by this author on:
Frédéric Sicot
Research Engineer
Computational Fluid Dynamics Team,
Centre Européen de Recherche et Formation Avancées en Calcul Scientifique
, 42 Avenue Coriolis, 31057 Toulouse Cedex, Francee-mail: frederic.sicot@cerfacs.fr
Guillaume Dufour
Senior Researcher
Computational Fluid Dynamics Team,
Centre Européen de Recherche et Formation Avancées en Calcul Scientifique
, 42 Avenue Coriolis, 31057 Toulouse Cedex, Francee-mail: guillaume.dufour@cerfacs.fr
Nicolas Gourdain
Senior Researcher
Computational Fluid Dynamics Team,
Centre Européen de Recherche et Formation Avancées en Calcul Scientifique
, 42 Avenue Coriolis, 31057 Toulouse Cedex, Francee-mail: nicolas.gourdain@cerfacs.fr
J. Turbomach. Jan 2012, 134(1): 011001 (13 pages)
Published Online: May 24, 2011
Article history
Received:
September 23, 2009
Revised:
June 9, 2010
Online:
May 24, 2011
Published:
May 24, 2011
Citation
Sicot, F., Dufour, G., and Gourdain, N. (May 24, 2011). "A Time-Domain Harmonic Balance Method for Rotor/Stator Interactions." ASME. J. Turbomach. January 2012; 134(1): 011001. https://doi.org/10.1115/1.4003210
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