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Path: Home » Indice Pubblicazioni » Convegni ATI - Accesso riservato soci CTI » CA - 57 - Pisa 2002 » Progressive optimization using ortogh...

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Progressive optimization using ortoghonal shape functions and an efficient finite-difference computation of sensitivities

Pubblicazione


Autore: L.A. Catalano, A. Dadone, G. Mele

Collana: CA - 57 - Pisa 2002

Note:
Two novel contributions to the development of an efficient and robust formulation for the design of high-load 2- and 3-D turbomachinery blades are presented: the first element consists of a method for the generation of a set of orthogonal shape functions for a wide and efficinet definition of the blade profile; this ingredient has been included in an optimization code, which employs a recently developed progressive strategy on nested grids and smoothed adjoint equations for the robust computation of the sensitivity derivatives. The method has been tested versus the inverse design of 2-D turbine blades in inviscid transonic flow conditions, using ten design parameters. Then, with the aid of some important multigrid concepts, an alternative approach has been developed for substituting the smoothed adjoint technique with finite-difference sensitivities, while retaining a high efficiency. The new method is simpler, is parallelizable, is invariant with respect to the flow modelization and/or discretization, and can be combined with black-box commercial codes. The finite-difference approach has been included in the aforementioned progressive optimization strategy on nested grids and tested versus the inverse design of a 3-D nozzle in inviscid transonic flow conditions. In both applications the methodology turns out to be robust and highly efficient.


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