Multiphysics discovery with moving boundaries using Ensemble SINDy and peridynamic differential operator
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366_2024_2064_ReferencePDF.pdf
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2.28 MB
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ba06f414cbd730d5f3bccf20ad08a414
Author(s)
Bekar, Ali C.
Haghighat, Ehsan
Madenci, Erdogan
Date Issued
September 16, 2024
Journal
Engineering with Computers
Publisher
Springer London
Citation
Bekar, A.C., Haghighat, E. & Madenci, E. Multiphysics discovery with moving boundaries using Ensemble SINDy and peridynamic differential operator. Engineering with Computers 41, 887–904 (2025).
Version
Author's final manuscript
Abstract
This study proposes a novel framework for learning the underlying physics of phenomena with moving boundaries. The proposed approach combines Ensemble SINDy and Peridynamic Differential Operator (PDDO) and imposes an inductive bias assuming the moving boundary physics evolves in its own corotational coordinate system. The robustness of the approach is demonstrated by considering various levels of noise in the measured data using the 2D Fisher–Stefan model. The confidence intervals of recovered coefficients are listed, and the uncertainties of the moving boundary positions are depicted by obtaining the solutions with the recovered coefficients. Although the main focus of this study is the Fisher–Stefan model, the proposed approach is applicable to any type of moving boundary problem with a smooth moving boundary front without an intermediate zone of two states. The code and data for this framework is available at: https://github.com/alicanbekar/MB_PDDO-SINDy.
MIT Department
Massachusetts Institute of Technology. Earth Resources Laboratory
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00366-024-02064-1
