A nonlinear, two-dimensional, compressible dynamic model has been developed to study rotating stall/surge inception and development in high-speed, multistage, axial flow compressors. The flow dynamics are represented by the unsteady Euler equations, solved in each interblade row gap and inlet and exit ducts as two-dimensional domains, and in each blade passage as a one-dimensional domain. The resulting equations are solved on a computational grid. The boundary conditions between domains are represented by ideal turning coupled with empirical loss and deviation correlations. Results are presented comparing model simulations to instability inception data of an eleven stage, high-pressure-ratio compressor operating at both part and full power, and the results analyzed in the context of a linear modal analysis.

1.
Alexandrov, V. G., Grin, V. T., and Shironosov, V. A., 1995, “Simulation and Active Control of Unstable Regimes in Air-Breathing Engine Elements,” AIAA Paper No. 95-2364.
2.
Bonnaure, L. P., 1991, “Modelling High Speed Multistage Compressor Stability,” M.S. Thesis, Department of Aeronautics and Astronautics, MIT.
3.
Boris
J. P.
, and
Book
D. L.
,
1976
, “
Solution of the Continuity Equation by the Method of Flux-Corrected Transport
,”
Methods in Computational Physics
, Vol.
16
, pp.
85
129
.
4.
Boris, J. P., Gardner, J. H., Oran, E. S., Guirguis, R. H., and Patnaik, G., 1987, “LCPFCT—Flux-Corrected Transport for Generalized Continuity Equations,” NRL Memorandum Report, Naval Research Laboratory.
5.
Day
I. J.
, and
Cumpsty
N. A.
,
1978
, “
The Measurement and Interpretation of Flow Within Rotating Stall Cells in Axial Compressors
,”
Journal of Mechanical Engineering Sciences
, Vol.
20
, pp.
101
114
.
6.
Day
I. J.
,
Greitzer
E. M.
, and
Cumpsty
N. A.
,
1978
, “
Prediction of Compressor Performance in Rotating Stall
,”
ASME Journal of Engineering for Power
, Vol.
100
, pp.
1
14
.
7.
Day
I. J.
, and
Freeman
C.
,
1994
, “
The Unstable Behavior of Low and High-Speed Compressors
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
116
, pp.
194
201
.
8.
Emmons
H. W.
,
Pearson
C. E.
, and
Grant
H. P.
,
1955
, “
Compressor Surge and Stall Propagation
,”
ASME Transactions
, Vol.
79
, pp.
455
469
.
9.
Eveker, K. M., Gysling, D. L., Nett, C. N., and Sharma, O. P., “Integrated Control of Rotating Stall and Surge in High-Speed Multi-Stage Compression Systems,” ASME Paper No. 97-GT-352.
10.
Feulner
M. R.
,
Hendricks
G. J.
, and
Paduano
J. D.
,
1996
, “
Modeling for Control of Rotating Stall in High-Speed Multistage Axial Compressors
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
118
, pp.
1
10
.
11.
Gallops, G. W., Roadinger, T. J., and French, J. V., 1993, “Stall Testing and Analysis of Two Mixed Flow Turbofans,” ASME Paper No. 93-GT-62.
1.
Greitzer
E. M.
,
1976
, “
Surge and Rotating Stall in Axial Flow Compressors: Part I—Theoretical Compressor System Model
,”
ASME Journal of Engineering for Power
, Vol.
98
, pp.
190
198
;
2.
Part II—Experimental Results and Comparison With Theory
,”
ASME Journal of Engineering for Power
, Vol.
98
, pp.
199
217
.
1.
Greitzer
E. M.
, and
Moore
F. K.
,
1986
, “
A Theory of Post-Stall Transients in Axial Compression Systems: Part II—Application
,”
ASME Journal of Engineering for Gas Turbines and Power
, Vol.
108
, pp.
231
239
.
2.
Haynes
J. M.
,
Hendricks
G. J.
, and
Epstein
A. M.
,
1994
, “
Active Stabilization of Rotating Stall in a Three-Stage Axial Compressor
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
116
, pp.
226
239
.
3.
Hendricks, G. J., Bonnaure, L. P., Longley, J. P., Greitzer, E. M., and Epstein, A. M., 1993, “Analysis of Rotating Stall Onset in High Speed Axial Flow Compressors,” AIAA Paper No. 93-2233.
4.
Hoying, D. A., 1993, “Stall Inception in a Multistage High Speed Axial Compressors,” AIAA Paper No. 93-2386.
5.
Ishii, H., and Kashiwabara, Y., “A Numerical Study of Surge and Rotating Stall in Multistage Axial Compressors,” AIAA Paper No. 92-3193.
6.
Koff, S. G., and Greitzer, E. M., 1984, “Stalled Flow Performance for Axial Compressors—I: Axisymmetric Characteristics,” ASME Paper No. 84-GT-93.
7.
Longley
J. P.
,
1994
, “
A Review of Nonsteady Flow Models for Compressor Stability
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
116
, pp.
202
215
.
8.
Mazzawy, R. S., 1977, “Multiple Segment Parallel Compressor Model for Circumferential Flow Distortion,” ASME Journal of Engineering for Power, Vol. 99, No. 2.
9.
Moore
F. K.
, and
Greitzer
E. M.
,
1986
, “
A Theory of Post-stall Transients in Axial Compressors: Part 1—Development of the Equations
,”
ASME Journal of Engineering for Gas Turbines and Power
, Vol.
108
, pp.
68
76
.
10.
Nagano, S., Machida, Y., and Takata, H., 1971, “Dynamic Performance of Stalled Blade Rows,” Japan Society of Mechanical Engineering Paper JSME 11, presented at the Tokyo Joint International Gas Turbine Conference, Tokyo, Japan.
11.
Oran, E. S., and Boris, J. P., 1987, Numerical Simulation of Reactive Flow, Elsevier.
12.
Tryfonidis
H.
,
Etchevers
O.
,
Paduano
J. D.
,
Epstein
A. H.
, and
Hendricks
G. J.
,
1995
, “
Prestall Behavior of Several High-Speed Compressors
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
117
, pp.
62
80
.
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