Shape optimization of conductive-media interfaces using an IGA-BEM solver
| Autor: | K.V. Kostas, Panagiotis Kaklis, A. I. Ginnis, C. G. Politis, Marios M. Fyrillas |
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| Rok vydání: | 2018 |
| Předmět: |
Computer science
VM Mechanical Engineering Computational Mechanics General Physics and Astronomy Context (language use) 02 engineering and technology Isogeometric analysis Solver Computer Science::Numerical Analysis 01 natural sciences Computer Science Applications 010101 applied mathematics 020303 mechanical engineering & transports 0203 mechanical engineering Rate of convergence Mechanics of Materials Heat transfer Parametric model Applied mathematics Shape optimization 0101 mathematics Boundary element method |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering. 340:600-614 |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/j.cma.2018.06.019 |
| Popis: | In this paper, we present a method that combines the Boundary Element Method (BEM) with IsoGeometric Analysis (IGA) for numerically solving the system of Boundary Integral Equations (BIE) arising in the context of a 2-D steady-state heat conduction problem across a periodic interface separating two conducting and conforming media. Our approach leads to a fast solver with high convergence rate when compared with low-order BEM. Additionally, an optimization framework comprising a parametric model for the interface’s shape, our IGA-BEM solver, and evolutionary and gradient-based optimization algorithms is developed and tested. The optimization examples demonstrate the efficiency of the framework in generating optimum interfaces for maximizing heat transfer under various geometric constraints. |
| Databáze: | OpenAIRE |
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