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Gradient Span Analysis Method: Application to the Multipoint Aerodynamic Shape Optimization of a Turbine Cascade

Montanelli, Hadrien and Montagnac, Marc and Gallard, François Gradient Span Analysis Method: Application to the Multipoint Aerodynamic Shape Optimization of a Turbine Cascade. (2015) Journal of Turbomachinery, 137 (9). ISSN 0889-504X

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Official URL: http://dx.doi.org/10.1115/1.4030016


This paper presents the application of the gradient span analysis (GSA) method to the multipoint optimization of the two-dimensional LS89 turbine distributor. The cost function (total pressure loss) and the constraint (mass flow rate) are computed from the resolution of the Reynolds-averaged Navier-Stokes equations. The penalty method is used to replace the constrained optimization problem with an unconstrained problem. The optimization process is steered by a gradient-based quasi-Newton algorithm. The gradient of the cost function with respect to design variables is obtained with the discrete adjoint method, which ensures an efficient computation time independent of the number of design variables. The GSA method gives a minimal set of operating conditions to insert into the weighted sum model to solve the multipoint optimization problem. The weights associated to these conditions are computed with the utopia point method. The single-point optimization at the nominal condition and the multipoint optimization over a wide range of conditions of the LS89 blade are compared. The comparison shows the strong advantages of the multipoint optimization with the GSA method and utopia-point weighting over the traditional single-point optimization.

Item Type:Article
HAL Id:hal-01622343
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Airbus (FRANCE)
French research institutions > Centre National d'Études Spatiales - CNES (FRANCE)
Other partners > EDF (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
Other partners > Total (FRANCE)
Other partners > IRT Saint Exupéry - Institut de Recherche Technologique (FRANCE)
Other partners > Météo France (FRANCE)
Other partners > SAFRAN (FRANCE)
Other partners > University of Oxford (UNITED KINGDOM)
Laboratory name:
Airbus group
Deposited On:24 Oct 2017 10:42

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