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10.1063-5.0145941 |
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230526s2023 CNT 000 0 und d |
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|a 10706631 (ISSN)
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|a Topologically assisted optimization for rotor design
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|b American Institute of Physics Inc.
|c 2023
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|z View Fulltext in Publisher
|u https://doi.org/10.1063/5.0145941
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|a We develop and apply a novel shape optimization exemplified for a two-blade rotor with respect to the figure of merit. This topologically assisted optimization contains two steps. First, a global evolutionary optimization is performed for the shape parameters, and then a topological analysis reveals the local and global extrema of the objective function directly from the data. This non-dimensional objective function compares the achieved thrust with the required torque. Rotor blades have a decisive contribution to the performance of quadcopters. A two-blade rotor with pre-defined chord length distribution is chosen as the baseline model. The simulation is performed in a moving reference frame with a k - ω turbulence model for the hovering condition. The rotor shape is parameterized by the twist angle distribution. The optimization of this distribution employs a genetic algorithm. The local maxima are distilled from the data using a novel topological analysis inspired by discrete scalar-field topology. We identify one global maximum to be located in the interior of the data and five further local maxima related to errors from non-converged simulations. The interior location of the global optimum suggests that small improvements can be gained from further optimization. The local maxima have a small persistence, i.e., disappear under a small ϵ perturbation of the figure of merit values. In other words, the data may be approximated by a smooth mono-modal surrogate model. Thus, the topological data analysis provides valuable insight for optimization and surrogate modeling. © 2023 Author(s).
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|a Blade rotors
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|a Evolutionary optimizations
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|a Genetic algorithms
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|a Global optimization
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|a Local maximum
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|a Objective functions
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|a Optimisations
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|a Rotor design
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|a Shape optimization
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|a Shape-optimization
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|a Surrogate modeling
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|a Topological analysis
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|a Topology
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|a Turbulence models
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|a Two-blade
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|a Chen, X.
|e author
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|a Cornejo Maceda, G.Y.
|e author
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|a Iollo, A.
|e author
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|a Li, P.
|e author
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|a Noack, B.R.
|e author
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|a Wang, T.
|e author
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|a Yang, Y.
|e author
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|t Physics of Fluids
|x 10706631 (ISSN)
|g 35 5
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