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

K.V. Kostas, M.M. Fyrillas, C.G Politis, A.I. Ginnis, P.D. Kaklis

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.
LanguageEnglish
Pages600-614
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume340
Early online date21 Jun 2018
DOIs
Publication statusPublished - 1 Oct 2018

Fingerprint

shape optimization
boundary element method
Shape optimization
Boundary element method
Interfaces (computer)
optimization
Boundary integral equations
Heat conduction
conductive heat transfer
integral equations
conductors
heat transfer
Heat transfer
gradients

Keywords

  • isogeometric analysis
  • NURBS
  • heat transfer
  • shape optimization

Cite this

Kostas, K.V. ; Fyrillas, M.M. ; Politis, C.G ; Ginnis, A.I. ; Kaklis, P.D. / Shape optimization of conductive-media interfaces using an IGA-BEM solver. In: Computer Methods in Applied Mechanics and Engineering. 2018 ; Vol. 340. pp. 600-614.
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Shape optimization of conductive-media interfaces using an IGA-BEM solver. / Kostas, K.V.; Fyrillas, M.M.; Politis, C.G; Ginnis, A.I.; Kaklis, P.D.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 340, 01.10.2018, p. 600-614.

Research output: Contribution to journalArticle

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T1 - Shape optimization of conductive-media interfaces using an IGA-BEM solver

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AU - Politis, C.G

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AU - Kaklis, P.D.

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KW - isogeometric analysis

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