Shape Optimization Method for Francis Turbine Spiral Casing Design

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Abstract

The paper presents shape optimization method for Francis turbine spiral casing design. Two methods are applied: originally developed finite element potential flow model with conjugate gradient optimizer, as well as commercial FLUENT turbulent flow simulator with genetic algorithm as the search method. The objective functional is defined as the surface averaged value of the magnitude of the difference between calculated and desired velocities at the outlet, so as to give as homogenized spiral casing outflow as possible. The shape of the spiral casing is given by Bezier splines, the control points of which being optimizing parameters.

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