Shape optimization of conductive-media interfaces using an IGA-BEM solver

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Kostas, K.V. and Fyrillas, M.M. and Politis, C.G and Ginnis, A.I. and Kaklis, P.D. (2018) Shape optimization of conductive-media interfaces using an IGA-BEM solver. Computer Methods in Applied Mechanics and Engineering, 340. pp. 600-614. ISSN 0045-7825 (https://doi.org/10.1016/j.cma.2018.06.019)

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Abstract

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.

ORCID iDs

Kostas, K.V., Fyrillas, M.M., Politis, C.G, Ginnis, A.I. and Kaklis, P.D. ORCID logoORCID: https://orcid.org/0000-0002-1843-8815;
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