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TECHNICAL PAPERS

A Novel Two-Dimensional Viscous Inverse Design Method for Turbomachinery Blading

[+] Author and Article Information
L. de Vito, R. A. Van den Braembussche, H. Deconinck

von Karman Institute for Fluid Dynamics, Turbomachinery & Propulsion/Aerospace Departments, Waterloose steenweg, 72, 1640 Sint-Genesius-Rode, Belgium

J. Turbomach 125(2), 310-316 (Apr 23, 2003) (7 pages) doi:10.1115/1.1545765 History: Received November 27, 2002; Online April 23, 2003
Copyright © 2003 by ASME
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References

Leonard,  O., and Van den Braembussche,  R. A., 1992, “Design Method for Subsonic and Transonic Cascades with Prescribed Mach Number Distribution,” ASME J. Turbomach., 114(3), pp. 553–560.
Demeulenaere,  A., and Van den Braembussche,  R. A., 1996, “Three-Dimensional Inverse Method for Turbomachinery Blading Design,” ASME J. Turbomach., 120(1), pp. 247–255.
Demeulenaere, A., and Leonard, O., and Van den Braembussche, R. A., 1997, “A Two-Dimensional Navier-Stokes Inverse Solver for Compressor and Turbine Blade Design,” Proc. Second European Conference on “Turbomachinery—Fluid Dynamics and Thermodynamics,” Antwerp, Belgium, pp. 339–346.
Callot, S., 1998, “Inverse Blade Design by Means of a Navier-Stokes Solver,” von Karman Institute, PR 1998-04.
Passrucker, H., and Van den Braembussche, R. A., 2000, “Inverse Design of Centrifugal Impellers by Simultaneous Modification of Blade Shape and Meridional Contour,” ASME Paper No. 2000-GT-457.
Bartelheimer,  W., 1996, “An Inverse Method for the Design of Transonic Airfoils and Wings,” J. Inverse Problems Eng, 4(1), pp. 21–51.
Arnone,  A., and Swanson,  R. C., 1993, “A Navier-Stokes Solver for Turbomachinery Applications,” ASME J. Turbomach., 115(2), pp. 305–313.
Harten,  A., Lax,  P. D., and van Leer,  B., 1983, “On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws,” SIAM Rev., 25(1), pp. 35–61.
Toro,  E. F., Spruce,  M., and Speares,  W., 1994, “Restoration of the Contact Surface in the HLL-Riemann Solver,” Shock Waves, 4, pp. 25–34.
Barth, T. J., and Jespersen, D. C., 1989, “The Design and Application of Upwind Schemes on Unstructured Meshes,” Paper AIAA-89-0366.
Venkatakrishnan, V., 1993, “On the Accuracy of Limiters and Convergence to Steady State Solutions,” Paper AIAA 93-0880.
Leonard, O., 1992, “Conception et Développement d’une Méthode Inverse de Type Euler et Application à la Génération de Grilles d’Aubes Transsoniques,” Ph.D. thesis, von Karman Institute and Faculté Polytechnique de Mons, Belgium.
Arts, T., Lambert de Rouvroit, M., and Rutherford, A. W., 1990, “Aero-Thermal Investigation of a Highly Loaded Transonic Linear Turbine Guide Vane Cascade,” von Karman Institute, TN 174.
Zannetti, L., and Pandolfi, M., 1984, “Inverse Design Technique for Cascades,” NASA CR 3836.
Demeulenaere, A., 1997, “Conception et Développement d’une Méthode Inverse pour la Génération d’Aubes de Turbomachines,” Ph.D. thesis, von Karman Institute and Université de Liège, Belgium.

Figures

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Structure of the novel approach
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Coarse 193×43 nonperiodic C-mesh around the LS89 blade for the viscous analysis
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Example of a restricted mesh around the LS89 blade for the (inviscid) inverse design
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The two-dimensional transpiration technique.
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Original LS89 blade and profile LS89b
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Different blade profiles (top) and the corresponding pressure distributions (bottom); solutions with large mass flow errors
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Different blade profiles (top) and corresponding pressure distributions (bottom); a solution with small error on the mass flow
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Blade profiles (top) and pressure distributions (bottom); blind design in transonic regime
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Blade profiles (top) and pressure distributions (bottom), design at transonic regime; a solution with a large change in mass flow
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Blade profiles (top) and pressure distributions (bottom); blind design at supersonic outflow
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Iso-Mach lines, solution (top) and initial profiles (bottom)

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