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Title: Gradient-free and gradient-based methods for shape optimization of water turbine blade (English)
Author: Bastl, Bohumír
Author: Brandner, Marek
Author: Egermaier, Jiří
Author: Horníková, Hana
Author: Michálková, Kristýna
Author: Turnerová, Eva
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Hejnice, June 24-29, 2018
Issue: 2018
Pages: 15-26
Category: math
Summary: The purpose of our work is to develop an automatic shape optimization tool for runner wheel blades in reaction water turbines, especially in Kaplan turbines. The fluid flow is simulated using an in-house incompressible turbulent flow solver based on recently introduced isogeometric analysis (see e.g. J. A. Cotrell et al.: Isogeometric Analysis: Toward Integration of CAD and FEA, Wiley, 2009). The proposed automatic shape optimization approach is based on a so-called hybrid optimization which combines gradient-free and gradient-based methods. As the gradient-free method, the Particle Swarm Optimization (PSO) method is used. The gradient-based part exploits a quasi-Newton method implemented in IpOpt software library (Interior Point OPTimizer) and gradients of the objective function with respect to design variables are provided by automatic differentiation of the computer code which is done with the help of CoDiPack software library (Code Differentiation Package). (English)
Keyword: shape optimization
Keyword: automatic differentiation
MSC: 65F08
MSC: 65M15
MSC: 65N15
DOI: 10.21136/panm.2018.02
Date available: 2019-04-29T13:34:41Z
Last updated: 2021-05-05
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