Abstract
The industrial design of turbines and compressors requires fast and reliable algorithms for the numerical optimization of design parameters that influence the flow in the turbomachine. The engineering process of designing the shape of the blades inside the turbomachine aims at the matching of the velocity profile of the flow around the blade with desired properties. This problem is formulated as a boundary control least squares minimization problem. A new direct simultaneous solution approach is developed which uses at its core a partially reduced SQP-method allowing for intermediate infeasibilities. Special multigrid methods are constructed for the solution of the arising large scale forward and adjoint linear systems.
This work is supported by the federal ministry for education, science, research and technology (BMBF), Germany, MTU Munich, Germany, and ABB Baden, Switzerland.
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References
Bock, H.G.: Randwertproblemmethoden zur Parameteridentifizierung in Systemen nichtlinearer Differentialgleichungen. Bonner Math. Schr. 183, Bonn, 1987.
Fritsch, G.: Berechnung der zweidimensionalen Umfangslösung entlang einer beliebigen Rotationsstromfläche erster Art mit Hilfe eines Stromfunktionsverfahrens in konservativer Formulierung. Diploma thesis, Univ. Stuttgart, 1987.
Gabay, D.: Reduced quasi-Newton methods with feasibility improvement for nonlinear constrained optimization. Math. Progr. Study, 16, pp. 18–44, 1982.
Hackbusch, W.: Multigrid methods and applications. Springer, 1985.
Happel, H.W.: Rechenverfahren zur Turbomaschinenauslegung. Vorlesungsmanuskript, Lehrstuhl für Fluidenergiemaschinen, Ruhr-Universität Bochum, 1995.
Kupfer, F.-S., Sachs, E.W.: Reduced SQP methods for nonlinear heat conduction control problems. In R. Bulirsch, D. Kraft (eds.): Computational Optimal Control, pp. 145–160, Birkhäuser, Basel, Boston, Berlin, 1994.
Schulz, V.H.: Reduced SQP methods for large scale optimal control problems in DAE with application to path planning problems for satellite mounted robots. Ph.D. thesis, University of Heidelberg, 1995.
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© 1996 Springer-Verlag Berlin Heidelberg
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Schulz, V., Dreyer, T., Speer, T., Bock, H.G. (1996). Optimum Shape Design of Turbine Blades. In: Kleinschmidt, P., Bachem, A., Derigs, U., Fischer, D., Leopold-Wildburger, U., Möhring, R. (eds) Operations Research Proceedings 1995. Operations Research Proceedings, vol 1995. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80117-4_33
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DOI: https://doi.org/10.1007/978-3-642-80117-4_33
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