A time-accurate, two-dimensional, pressure-based, Navier–Stokes solver for incompressible flow is developed and used to carry out the numerical simulation of rotor–stator interaction. A low-Reynolds-number form of the two-equation turbulence model is used to account for the turbulence effects. In order to improve the accuracy of the numerical scheme, a central differencing plus an artificial dissipation scheme is implemented to provide precise control of numerical dissipation. An inner loop iteration scheme is used at each time step to account for the nonlinear effects. The computation of unsteady flow through a flat plate cascade subjected to a transverse gust reveals that the choice of grid spacing and the amount of artificial dissipation is critical for accurate prediction of unsteady phenomena. The rotor–stator interaction problem is simulated by starting the computation upstream of the stator, and the upstream rotor wake is specified from the experimental data. The results show that the stator potential effects have appreciable influence on the upstream rotor wake. The predicted unsteady wake profiles are compared with the available experimental data and the agreement is good. The numerical results are interpreted to draw conclusions on the unsteady wake transport mechanism in the blade passage.
Issue Section:
Research Papers
1.
Abhari
R. S.
Guenette
G. R.
Epstein
A. H.
Giles
M. B.
1992
, “Comparison of Time-Resolved Turbine Rotor Blade Heat Transfer Measurements and Numerical Calculations
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.2.
Adachi
T.
Murakami
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.3.
Addison
J. S.
Hodson
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1990
, “Unsteady Transition in an Axial Flow Turbine. Part 1.
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, Vol. 112
, pp. 206
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.4.
Basson
A. H.
Lakshminarayana
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1994
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, Vol. 2
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.5.
Chien
K.-Y.
1982
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, No. 1
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.6.
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7.
Dorney
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1992
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, Vol. 8
, pp. 520
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.8.
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9.
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Lakshminarayana
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M.
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, “A Low-Reynolds Number K–ε Model for Unsteady Turbulent Boundary Layer Flows
,” AIAA Journal
, Vol. 31
, No. 10
, pp. 1777
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.10.
Fang
J.
Atassi
H. M.
1993
, “Numerical Solutions for Unsteady Subsonic Vortical Flows Around Loaded Cascades
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, Vol. 115
, pp. 810
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.11.
Fleeter
S.
1973
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13.
Gundy-Burlet
K. L.
Rai
M. M.
Stauter
R. C.
Dring
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1991
, “Temporally and Spatially Resolved Flow in a Two-Stage Axial Compressor: Part 2—Computational Assessment
,” ASME JOURNAL OF TURBOMACHINERY
, Vol. 113
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.14.
Hah, C., 1992, “Navier–Stokes Analysis of Three-Dimensional Unsteady Flows Inside Turbine Stages,” AIAA Paper No. 92-3211.
15.
Hall
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Verdon
J. M.
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, “Gust Response for Cascade Operating in Nonuniform Mean Flows
,” AIAA Journal
, Vol. 29
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.16.
Ho
Y.-H.
Lakshminarayana
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1993
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,” AIAA Journal
, Vol. 31
, No. 12
, p. 2232
2232
.17.
Ho, Y.-H., 1995, “Numerical Simulation of Steady and Unsteady Viscous Flows in Turbomachinery Blade Rows,” Ph.D. Thesis, The Pennsylvania State University.
18.
Hobson
G. V.
Lakshminarayana
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1991
, “Prediction of Cascade Performance Using an Incompressible Navier–Stokes Technique
,” ASME JOURNAL OF TURBOMACHINERY
, Vol. 113
, pp. 561
–572
.19.
Hodson
H. P.
1985
a, “An Inviscid Blade-to-Blade Prediction of a Wake-Generated Unsteady Flow
,” ASME Journal of Engineering for Gas Turbines and Power
, Vol. 107
, pp. 337
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.20.
Hodson
H. P.
1985
b, “Measurements of Wake-Generated Unsteadiness in the Rotor Passages of Axial Flow Turbines
,” ASME Journal of Engineering for Gas Turbines and Power
, Vol. 107
, pp. 467
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.21.
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R. I.
1985
, “Solution of the Implicitly Discretized Fluid Flow Equations by Operator-Splitting
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, Vol. 62
, pp. 40
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.22.
Kim
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Benson
T. J.
1992
, “Comparison of the SMAC, PISO and Iterative Time-Advancing Schemes for Unsteady Flows
,” Computers Fluids
, Vol. 21
, pp. 435
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.23.
Kunz
R. F.
Lakshminarayana
B.
1992
, “Three-Dimensional Navier–Stokes Computation of Turbomachinery Flows Using an Explicit Numerical Procedure and a Coupled k–ε Turbulence Model
,” ASME JOURNAL OF TURBOMACHINERY
, Vol. 114
, pp. 627
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.24.
Leonard
B. P.
1979
, “A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation
,” Computer Methods in Applied Mechanics and Engineering
, Vol. 19
, pp. 59
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.25.
Manwaring
S. R.
Fleeter
S.
1993
, “Rotor Blade Unsteady Aerodynamic Gust Response to Inlet Guide Vane Wakes
,” ASME JOURNAL OF TURBOMACHINERY
, Vol. 115
, pp. 197
–206
.26.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corp., New York.
27.
Pulliam
T. H.
1986
, “Artificial Dissipation Models for the Euler Equations
,” AIAA Journal
, Vol. 24
, No. 12
, pp. 1931
–1940
.28.
Rai
M. M.
1987
, “Navier–Stokes Simulations of Rotor/Stator Interactions Using Patched and Overlaid Grids
,” J. of Propulsion Power
, Vol. 3
, pp. 387
–396
.29.
Rao, K. V., Delaney, R. A., and Dunn, M. G., 1992, “Vane-Blade Interaction in a Transonic Turbine, Part I—Aerodynamics,” AIAA Paper No. 92-3323.
30.
Rhie
C. M.
Chow
W. L.
1983
, “Numerical Study of the Turbulent Flow Past an Airfoil With Trailing Edge Separation
,” AIAA Journal
, Vol. 21
, No. 11
, pp. 1525
–1532
.31.
Stauter
R. C.
Dring
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Carta
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, “Temporally and Spatially Resolved Flow in a Two-Stage Axial Compressor: Part 1—Experiment
,” ASME JOURNAL OF TURBOMACHINERY
, Vol. 113
, pp. 219
–226
.32.
Stauter, R. C., 1992, private communication.
33.
Van Doormaal
J. P.
Raithby
G. D.
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, “Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flows
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, Vol. 7
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.34.
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