Multiphysics discovery with moving boundaries using Ensemble SINDy and peridynamic differential operator

IF 8.7 2区 工程技术 Q1 Mathematics Engineering with Computers Pub Date : 2024-09-16 DOI:10.1007/s00366-024-02064-1
Ali Can Bekar, Ehsan Haghighat, Erdogan Madenci
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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.

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利用集合 SINDy 和周动态微分算子发现具有移动边界的多物理场
本研究提出了一种新颖的框架,用于学习具有移动边界现象的基础物理学。所提出的方法结合了集合 SINDy 和周动态微分算子 (PDDO),并假定运动边界物理在其自身的相关坐标系中演化,从而施加归纳偏差。通过使用二维 Fisher-Stefan 模型考虑测量数据中不同程度的噪声,证明了该方法的稳健性。列出了恢复系数的置信区间,并通过获得具有恢复系数的解来描述移动边界位置的不确定性。虽然本研究的重点是 Fisher-Stefan 模型,但所提出的方法适用于任何类型的移动边界问题,这些问题具有平滑的移动边界前沿,没有两个状态的中间区域。本框架的代码和数据可在以下网址获取:https://github.com/alicanbekar/MB_PDDO-SINDy。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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