2D shape optimization of turbine blades

In this paper, we present methods to optimize the efficiency of turbine blades. The profile of a turbine blade is parameterized by curves, its parameters form the variables of a nonlinear optimization problem. Because of the very expensive function evaluation, gradient based optimization methods are preferred. In order to provide gradient information for the optimization method, the fluid sensitivities have to be considered. Theoretical properties and implementation aspects for the sensitivity equation are discussed. Constraints guarantee the requirements for casting, machining, and cooling of the blades. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.