A two-dimensional (θ, z) Navier–Stokes solver for multiport wave rotor flow simulation is described. The finite-volume forms of the unsteady thin-layer Navier–Stokes equations are integrated in time on multiblock grids that represent the stationary inlet and outlet ports and the moving rotor passages of the wave rotor. Computed results are compared with three-port wave rotor experimental data. The model is applied to predict the performance of a planned four-port wave rotor experiment. Two-dimensional flow features that reduce machine performance and influence rotor blade and duct wall thermal loads are identified.

1.
Anderson
W. K.
,
Thomas
J. L.
, and
van Leer
B.
,
1986
, “
Comparison of Finite Volume Flux Vector Splittings for the Euler Equations
,”
AIAA J.
, Vol.
24
, No.
9
, Sept., pp.
1453
1460
.
2.
Azoury
P. H.
,
1965–66
, “
An Introduction to the Dynamic Pressure Exchanger
,”
Proc. Inst. Mech. Eng.
, Vol.
180
, Part 1, pp.
451
480
.
3.
Baldwin, B. S., and Lomax, H., 1978, “Thin-Layer Approximation and Algebraic Model for Separated Turbulent Flows,” Paper No. AIAA-78-257.
4.
Burri, H. U., 1958, “Non-steady Aerodynamics for the Comprex Supercharger,” ASME Paper No. 58-GTP-15.
5.
Chima
R. V.
,
1987
, “
Explicit Multigrid Algorithm for Quasi-Three-Dimensional Viscous Flows in Turbomachinery
,”
J. of Propulsion and Power
, Vol.
3
, No.
5
, Sept.–Oct., pp.
397
405
.
6.
Eidelman
S.
,
1985
, “
The Problem of Gradual Opening in Wave Rotor Passages
,”
J. Propulsion and Power
, Vol.
1
, No.
1
, Jan.–Feb., pp.
22
28
.
7.
Grossman
B.
, and
Walters
R. W.
,
1989
, “
Flux-Split Algorithms for the Multidimensional Euler Equations With Real Gases
,”
Computers and Fluids
, Vol.
17
, No.
1
, pp.
99
112
.
8.
Harten
A.
, and
Hyman
J. M.
,
1983
, “
Self Adjusting Grid Methods for One-Dimensional Hyperbolic Conservation Laws
,”
J. Comp. Phys.
, Vol.
50
, pp.
235
269
.
9.
Hong-De, J., 1983, “Two-Dimensional Unsteady Flow in Comprex Rotor,” Proc. 1983 Tokyo International Gas Turbine Congress, Oct., pp. 463–470.
10.
Jameson, A., Schmidt, W., and Turkel, E., 1981, “Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping,” Paper No. AIAA-81-1259.
11.
Keller, J. J., 1984, “Some Fundamentals of the Supercharger Comprex,” in: Sladky, 1984, pp. 47–54.
12.
Kentfield, J. A. C., 1969, “The Performance of Pressure-Exchanger Dividers and Equalizers,” ASME J. Basic Engineering, Sept., pp. 361–370.
13.
Larosiliere
L. M.
,
1995
, “
Wave Rotor Charging Process: Effects of Gradual Opening and Rotation
,”
J. Propulsion and Power
, Vol.
11
, No.
1
, Jan.–Feb., pp.
178
184
.
14.
Lear, W. E., Jr., and Candler, G., 1993, “Analysis of the Accuracy of Wave Rotor Boundary Conditions Using a Novel Computational Method,” Paper No. AIAA-93-2524.
15.
Mathur, A., 1985, “A Brief Review of G.E. Wave Engine Program (1958–1963),” in: Shreeve and Mathur, 1985, pp. 171–193.
16.
Moritz, R., 1985, “Rolls-Royce Study of Wave Rotors 1965–1970,” in: Shreeve and Mathur, 1985, pp. 116–124.
17.
Paxson, D. E., 1993, “An Improved Numerical Model for Wave Rotor Design and Analysis,” AIAA-93-0482; also NASA TM-105915.
18.
Paxson
D. E.
,
1995
, “
Comparison Between Numerically Modeled and Experimentally Measured Wave-Rotor Loss Mechanisms
,”
J. Propulsion and Power
, Vol.
11
, No.
5
, Sept.–Oct., pp.
908
914
; also NASA TM-106279.
19.
Roe
P. L.
,
1981
, “
Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
,”
J. Comp. Phys.
, Vol.
43
, pp.
357
372
.
20.
Rose, P. H., 1979, “Potential Applications of Wave Machinery to Energy and Chemical Processes,” Lifshitz, A., and Rom, J., eds., Shock Tubes and Wave, Proc. 12th Int. Symposium on Shock Tubes and Waves, The Magnes Press, Jerusalem, Israel, July, pp. 3–30.
21.
Shreeve, R. P., and Mathur, A., eds., 1985, Proc. 1985 ONR/NAVAIR Wave Rotor Research and Technology Workshop, Report NPS-67-85-008, Naval Post-graduate School, Monterey, CA, May.
22.
Sladky, J. F., Jr., ed., 1984, Machinery for Direct Fluid-Fluid Energy Exchange, AD-07, Winter Annual Meeting of The ASME, New Orleans, LA, Dec. 9–14.
23.
Sturtevant, B., 1987, “Rayleigh-Taylor Instability in Compressible Fluids,” Gronig, H., ed., Shock Tubes and Waves, Proc. of the Sixteenth Int. Symp. on Shock Tubes and Waves, Achen, West Germany, July, VCH, Federal Republic of Germany, pp. 89–100.
24.
Taussig, R. T., 1984, “Wave Rotor Turbofan Engines for Aircraft,” in: Sladky, 1984, pp. 9–45; also see Mech. Engineering, Nov., 1984, pp. 60–66.
25.
Taussig, R. T., and Hertzberg, A., 1984, “Wave Rotors for Turbomachinery,” in: Sladky, 1984, pp. 1–7.
26.
Thayer, W. J., III, Vaidyanathan, T. S., and Zumdieck, J. F., 1980, “Measurements and Modeling of Energy Exchanger Flow,” Proc. Intersociety Energy Conversion Engineering Conference, Vol. 3, Aug., pp. 2368–2379.
27.
van Leer
B.
,
1979
, “
Towards the Ultimate Conservative Difference Scheme. V. A Second-Order Sequel to Godunov’s Method
,”
J. Comp. Phys.
, Vol.
32
, pp.
101
136
.
28.
Walters, R. W., and Thomas, J. L., 1989, “Advances in Upwind Relaxation Methods,” Noor, A. K. and Oden, J. T., eds., State-of-the-Art Surveys on Computational Mechanics, The American Society of Mechanical Engineers, New York, U.S.A., pp. 145–183.
29.
Welch, G. E., 1993, “Two-Dimensional Numerical Study of Wave Rotor Flow Dynamics,” Paper No. AIAA-93-2525.
30.
Welch, G. E., and Chima, R. V., 1993, “Two-Dimensional CFD Modeling of Wave Rotor Flow Dynamics,” Proc. 11th Computational Fluid Dynamics Conference, Part 1, AIAA-93-3318-CP, July, pp. 234–247; also NASA TM-106261.
31.
Welch
G. E.
,
1997
, “
Macroscopic Balance Model for Wave Rotors
,”
J. Propulsion and Power
, Vol.
13
, No.
4
, July–Aug., pp.
508
516
.
32.
Welch
G. E.
,
Jones
S. M.
, and
Paxson
D. E.
,
1997
, “
Wave-Rotor-Enhanced Gas Turbine Engine
,”
ASME JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER
, Vol.
119
, pp.
469
477
.
33.
Wen
W.
, and
Mingzheng
C.
,
1982
, “
Some Result [sic] of Theoretical Analysis, Calculation and Experimental Research of Pressure Wave Supercharger
,”
J. Engineering Thermophysics
, Vol.
3
, No.
1
, Feb., pp.
33
38
.
34.
Wilson, J., and Fronek, D., 1993, “Initial Results from the NASA Lewis Wave Rotor Experiment,” Paper No. AIAA-93-2521; also NASA TM-106148.
35.
Wilson
J.
, and
Paxson
D. E.
,
1996
, “
Optimization of Wave Rotors for Use as Gas Turbine Engine Topping Cycles
,”
J. Propulsion and Power
, Vol.
12
, No.
4
, July–Aug., pp.
778
785
.
36.
Zauner, E., Chyou, Y.-P., Walraven, F., and Althaus, R., 1993, “Gas Turbine Topping Stage Based on Energy Exchangers: Process and Performance,” ASME Paper No. 93-GT-58.
37.
Zehnder, G., 1971, “Calculating Gas Flow in Pressure-Wave Machines,” Brown-Broveri Review, Rev. 4/5, pp. 172–176.
38.
Zhang
H. S.
, and
So
R. M. C.
,
1990
, “
Calculation of the Material Interface in a Pressure-Wave Supercharger
,”
Proc. Inst. Mech. Eng., Part A: J. of Power and Energy
, Vol.
204
, No.
A1
, pp.
151
161
.
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