Zonal free element method for solving nonlinear transient heat conduction problems

doi:10.1016/j.enganabound.2025.106170

2025-04-01

PRE

DOI：10.1016/j.enganabound.2025.106170

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摘要

En 中文

本文提出了一种区域自由元法（ZFREM）以求解瞬态非线性热传导问题。作为一种新颖的无网格方法，ZFREM利用了等参单元的形函数，这使其相较于其他无网格方法具有增强的稳定性。此外，通过区域划分，该方法能够有效处理复杂的几何构型。另一个独特之处在于，单元由配置节点（CN）及其周围节点（场节点）构成，这使得易于使用高阶单元并获得更精确的解。本文还建立了采用该方法求解非线性热传导问题的特定统一格式。最后，作者将所提出的方法用于分析涉及非线性热导率的三维非稳态热传导问题。采用该方法得到的结果与参考结果一致，验证了其有效性。

Keyword:

Zonal free element method

Mesh free method

Nonlinear transient heat conduction

Isoparametric elements

期刊

Engineering Analysis with Boundary Elements

IF:

4.1

论文数:

5.9K

被引数:

9.4K

机构

Dalian Univ Technol

学者数:

4.8K

论文数: 2.1K

被引数: 696

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