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2026, 02, v.25 43-52
Higher-order multi-scale computational method and its error estimation for heat conduction problem of quasi-periodic composite structures
Email: donghaoxd@xidian.edu.cn;
DOI: 10.12194/j.ntu.20241125001
Published:   2025-04-24
Publication Date:   2025-04-24
Online:   2025-04-24
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Abstract:

In this paper, a comprehensive computational framework is established based on multiscale asymptotic analysis for analyzing the heat conduction performances of quasi-periodic composite structures, integrating lower-and higher-order microscopic unit cell models, a homogenized macroscopic model, and a second-order two-scale asymptotic solution with macro-micro correlations. Subsequently, local error analysis demonstrates that the second-order two-scale solution ensures local heat flux balance, accurately capturing the micro-scale oscillating behavior of quasiperiodic composite structures. Furthermore, global error analysis in the integral sense provides explicit error estimates for the second-order two-scale solution. Additionally, a multi-scale numerical algorithm is developed, combining the finite element method, finite difference method, and interpolation method, to effectively solve the heat conduction problem. Finally, numerical experiments confirm the effectiveness of the proposed method, in particular, its high-precision computational performance is thoroughly validated.

References

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Basic Information:

DOI:10.12194/j.ntu.20241125001

China Classification Code:TB33

Citation Information:

[1]DING Yifei,DONG Hao.Higher-order multi-scale computational method and its error estimation for heat conduction problem of quasi-periodic composite structures[J].Journal of Nantong University (Natural Science Edition),2026,25(02):43-52.DOI:10.12194/j.ntu.20241125001.

Fund Information:

国家自然科学基金面上项目(12471387); 陕西省科协青年人才托举计划项目(20220506); 西安电子科技大学2024年学科交叉拓展特支计划项目(TZJH2024008); 中央高校基本科研业务费项目(ZYTS24071)

Published:  

2025-04-24

Publication Date:  

2025-04-24

Online:  

2025-04-24

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