A new POD-based Reduced-Order EDM-RIBEM method for multi-domain transient heat transfer problems

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-05-26 DOI:10.1016/j.enganabound.2025.106310

Baoqi Zhang, Siqi Zhang, Wenwei Jiang, Chenhao Tan, Yuntao Zhou, Haifeng Peng, Kai Yang, Xiaowei Gao

引用次数: 0

Abstract

We introduce a reduced-order coupling algorithm of Element Differential Method (EDM) and Radial Integration Boundary Element Method (RIBEM) for efficient solution of multi-domain transient heat transfer problems. An important innovation of this method is its incorporation of Proper Orthogonal Decomposition (POD) method. By applying POD for dimensionality reduction of system equations, the iterative coupling process between EDM and RIBEM is significantly accelerated, thus improving overall computational efficiency. The integration of POD method ensures that the reduced-order model captures the essential features of the multi-domain problem while maintaining computational efficiency. The results of numerical examples demonstrate the accuracy and efficiency of the reduced-order coupling method in solving multi-domain transient heat conduction problems.

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多域瞬态传热问题的一种基于pod的降阶EDM-RIBEM新方法

为了有效求解多域瞬态传热问题，提出了单元微分法（EDM）和径向积分边界元法（RIBEM）的降阶耦合算法。该方法的一个重要创新是引入了固有正交分解（POD）方法。通过将POD应用于系统方程降维，可以显著加快电火花加工与RIBEM之间的迭代耦合过程，从而提高整体计算效率。POD方法的集成保证了降阶模型在保持计算效率的同时能够捕捉到多域问题的本质特征。数值算例的结果证明了降阶耦合方法在求解多域瞬态热传导问题中的准确性和有效性。

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 Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.