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MAUDER, T. KŮDELA, J. KLIMEŠ, L. ZÁLEŠÁK, M. CHARVÁT, P.
Original Title
Soft computing methods in the solution of an inverse heat transfer problem with phase change: A comparative study
Type
journal article in Web of Science
Language
English
Original Abstract
Inverse heat transfer problems are ill-posed problems and their solution is challenging. Conventional (hard computing) solution methods were developed for this purpose in the past, but they are not well applicable in cases including phase change, which contain strong non-linearity and bring additional computational difficulties. Soft computing methods, which currently experience very rapid development, are a promising tool for the solution of such problems. This paper addresses an inverse heat transfer problem with phase change, in which the boundary heat flux is estimated. Four methods based on distinct mathematical principles are applied to this problem and thoroughly compared. These methods include a conventional Levenberg-Marquardt method (LMM), a predictive fuzzy logic (PFL)-based method, a population-based meta-heuristic method called LSHADE (a state-of-the-art differential evolution variant), and a recently developed surrogate-assisted method coupled with differential evolution, referred to as LSADE method. Furthermore, a reformulation of the problem was developed, utilising a dimension reduction scheme and a decomposition scheme that led to sub-problems with different time frames. This reformulation brought extensive computational improvements. Results of the comparison of the methods then showed that the LMM and the PFL behave well in case without phase change but their performance deteriorates substantially in case with phase change. The LSHADE and the LSADE showed superior performance in the solution of the inverse problem with the phase change. Moreover, their performance was rather stable and insensitive to the location of the temperature sensor, which was the source of data for the estimation.
Keywords
Inverse heat transfer; Soft computing; Machine learning; Meta-heuristics; Surrogate model; Fuzzy logic
Authors
MAUDER, T.; KŮDELA, J.; KLIMEŠ, L.; ZÁLEŠÁK, M.; CHARVÁT, P.
Released
1. 7. 2024
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Location
OXFORD
ISBN
1873-6769
Periodical
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE
Year of study
133
Number
B
State
United Kingdom of Great Britain and Northern Ireland
Pages from
108229
Pages to
108245
Pages count
17
URL
https://www.sciencedirect.com/science/article/pii/S0952197624003877
BibTex
@article{BUT189235, author="Tomáš {Mauder} and Jakub {Kůdela} and Lubomír {Klimeš} and Martin {Zálešák} and Pavel {Charvát}", title="Soft computing methods in the solution of an inverse heat transfer problem with phase change: A comparative study", journal="ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE", year="2024", volume="133", number="B", pages="17", doi="10.1016/j.engappai.2024.108229", issn="1873-6769", url="https://www.sciencedirect.com/science/article/pii/S0952197624003877" }