Multilevel Gradient Method with Bezier Parametrisation for AerodynamicShape Optimisation

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  • Massimiliano Martinelli
  • Francois Beux

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https://doi.org/10.1685/

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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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2007-10-01

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