Multilevel Gradient Method with Bezier Parametrisation for AerodynamicShape Optimisation

Massimiliano Martinelli, Francois Beux


A new multilevel strategy for gradient-based method in aerodynamic optimum shape design is
proposed. This approach acts within the development of efficient algorithms for shape optimisation
problem, in which the governing equations resolution requires a high computational cost.
The proposed algorithm, based on the degree elevation property of Bezier curve for the
parametrisation construction, can be interpreted in two different ways. Indeed, a descent
direction is obtained considering as control variables shape grid-point coordinates as well
as Bezier control points. We intend to investigate the algorithm behaviour for a 2D nozzle
inverse problem and inviscid flows.

[DOI: 10.1685/CSC06110] About DOI

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