Galerkin-based quasi-smooth manifold element(QSME)method for anisotropic heat conduction problems in composites with complex geometry

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外文摘要：The accurate and efficient analysis of anisotropic heat conduction problems in complex composites is crucial for structural design and performance evaluation.Tradi-tional numerical methods,such as the finite element method(FEM),often face a trade-off between calculation accuracy and efficiency.In this paper,we propose a quasi-smooth manifold element(QSME)method to address this challenge,and provide the accurate and efficient analysis of two-dimensional(2D)anisotropic heat conduction problems in composites with complex geometry.The QSME approach achieves high calculation preci-sion by a high-order local approximation that ensures the first-order derivative continuity.The results demonstrate that the QSME method is robust and stable,offering both high accuracy and efficiency in the heat conduction analysis.With the same degrees of freedom(DOFs),the QSME method can achieve at least an order of magnitude higher calcula-tion accuracy than the traditional FEM.Additionally,under the same level of calculation error,the QSME method requires 10 times fewer DOFs than the traditional FEM.The versatility of the proposed QSME method extends beyond anisotropic heat conduction problems in complex composites.The proposed QSME method can also be applied to other problems,including fluid flows,mechanical analyses,and other multi-field coupled problems,providing accurate and efficient numerical simulations.

作者：

Pan WANG、Xiangcheng HAN、Weibin WEN、Baolin WANG、Jun LIANG

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作者单位：

School of Civil Engineering,Central South University,Changsha 410083,China

Institute of Advanced Structure Technology,Beijing Institute of Technology,Beijing 100081,China

School of Science,Harbin Institute of Technology,Shenzhen 518055,Guangdong Province,China

基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province of ChinaNatural Science Foundation of Hunan Province of China

项目编号：

1210204312072375U22412402023JJ406982021JJ40710

出版年：

2024

DOI：

10.1007/s10483-024-3072-8

参考文献

引证文献

应用数学和力学(英文版)

影响因子：0.294

ISSN：0253-4827

年,卷(期)：2024.45(1)

Pan WANG,Xiangcheng HAN,Weibin WEN,et al.Galerkin-based quasi-smooth manifold element(QSME)method for anisotropic heat conduction problems in composites with complex geometry[J].应用数学和力学(英文版),2024,45(1):137-154.DOI:10.1007/s10483-024-3072-8.

参考文献量29