标题： 多物理场嵌入局部正交分解用于热机械耦合问题 显示英文标题

标题： Multiphysics embedding localized orthogonal decomposition for thermomechanical coupling problems

摘要： 多尺度建模和分析高度非均质介质中的多物理场耦合过程面临重大挑战。 在本文中，我们提出了一种新颖的多物理场嵌入局部正交分解（ME-LOD）方法，用于解决热力学耦合问题，该方法还提供了一种系统的方法来处理多物理系统中的复杂耦合效应。 与标准局部正交分解（LOD）方法为每个物理场构建独立的多尺度空间不同，所提出的方法对位移和温度进行了统一构造。 与标准LOD方法相比，我们的方法通过正交化实现算子稳定性重构，同时保持计算效率。 几个数值实验表明，ME-LOD方法在准确性方面优于传统LOD方法，特别是在材料特性存在显著差异的情况下。 显示英文摘要

摘要： Multiscale modeling and analysis of multiphysics coupling processes in highly heterogeneous media present significant challenges. In this paper, we propose a novel multiphysics embedding localized orthogonal decomposition (ME-LOD) method for solving thermomechanical coupling problems, which also provides a systematic approach to address intricate coupling effects in multiphysical systems. Unlike the standard localized orthogonal decomposition (LOD) method that constructs separate multiscale spaces for each physical field, the proposed method features a unified construction for both displacement and temperature. Compared to the standard LOD method, our approach achieves operator stability reconstruction through orthogonalization while preserving computational efficiency. Several numerical experiments demonstrate that the ME-LOD method outperforms the traditional LOD method in accuracy, particularly in cases with significant contrasts in material properties.