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Research Papers

A Time-Domain Harmonic Balance Method for Rotor/Stator Interactions

[+] Author and Article Information
Frédéric Sicot1

Computational Fluid Dynamics Team, Centre Européen de Recherche et Formation Avancées en Calcul Scientifique, 42 Avenue Coriolis, 31057 Toulouse Cedex, Francefrederic.sicot@cerfacs.fr

Guillaume Dufour

Computational Fluid Dynamics Team, Centre Européen de Recherche et Formation Avancées en Calcul Scientifique, 42 Avenue Coriolis, 31057 Toulouse Cedex, Franceguillaume.dufour@cerfacs.fr

Nicolas Gourdain

Computational Fluid Dynamics Team, Centre Européen de Recherche et Formation Avancées en Calcul Scientifique, 42 Avenue Coriolis, 31057 Toulouse Cedex, Francenicolas.gourdain@cerfacs.fr

1

Present address: ONERA, The French Aerospace Lab, Aeroelasticity and Structural Dynamics Department, 29 Avenue de la Division Leclerc, BP72, 92322 Chatillon Cedex, France.

J. Turbomach 134(1), 011001 (May 24, 2011) (13 pages) doi:10.1115/1.4003210 History: Received September 23, 2009; Revised June 09, 2010; Published May 24, 2011; Online May 24, 2011

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.

Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Blade row interface duplication process (left: relative mesh position; right: duplication with phase lag periodic conditions)

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Figure 2

CME2 Navier–Stokes wall-law mesh (one out of every two points)

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Figure 3

Slice mixing plane computation

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Figure 4

U-RANS time sampling convergence (isentropic efficiency)

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Figure 5

U-RANS mass flow rate convergence

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Figure 6

HB computation residual convergence

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Figure 7

HB computation MFR convergence (15 instants)

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Figure 8

U-RANS and HB comparison: unsteady MFR and efficiency

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Figure 9

Mixing plane, U-RANS, and HB comparison: time-averaged MFR and efficiency

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Figure 10

Entropy at midspan

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Figure 11

Close-up of entropy at midspan at the row interface

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Figure 12

Downstream row without wake crossing the row interface

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Figure 13

Pressure at midspan

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Figure 14

Wall pressure harmonic convergence

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Figure 18

Instantaneous helicity at axial sections

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Figure 17

Instantaneous helicity at constant radius (98% blade span)

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Figure 16

CME2 mass flow rate

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Figure 15

HB computation CPU time gains

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