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Transient nonlinear heat transfer analysis using a generic grid refinement for structure parameter variations
International Journal of Thermal Sciences ( IF 4.5 ) Pub Date : 2020-07-01 , DOI: 10.1016/j.ijthermalsci.2020.106357
S.Z. Feng , Y.R. Tao , Z.J. Ma , Grzegorz Królczyk , Z.X. Li

Abstract Traditional finite element models are usually established based on specific structures to address the transient nonlinear heat transfer analysis; however, if the structure parameters change one has to reanalyze/rebuild the finite element models, resulting in a lot of additional computational cost. To address this problem, this work develops a generic grid refinement approach to improve the computational efficiency of nonlinear heat transfer analysis. The advantage of the proposed method lies that the grids can be used to establish connections between original and modified structures through transfer operators, which is calculated only once for the original structures and can be reused in following grid iterations. Then, the transient nonlinear heat transfer equations of modified structures can be efficiently solved based on the grid iterations in each time step. As a result, the computational cost can be magnificently reduced. Several numerical examples are investigated to comprehensively evaluate the performance of the present algorithm when dealing with the transient nonlinear heat transfer analysis of structures with modifications.

中文翻译:

对结构参数变化使用通用网格细化的瞬态非线性传热分析

摘要 传统的有限元模型通常是基于特定结构建立的,以解决瞬态非线性传热分析问题;然而,如果结构参数发生变化,则必须重新分析/重建有限元模型,从而导致大量额外的计算成本。为了解决这个问题,这项工作开发了一种通用的网格细化方法,以提高非线性传热分析的计算效率。该方法的优点在于网格可以通过传递算子在原始结构和修改结构之间建立连接,对原始结构只计算一次,可以在后续网格迭代中重复使用。然后,基于每个时间步长的网格迭代,可以有效地求解修改结构的瞬态非线性传热方程。结果,可以极大地降低计算成本。研究了几个数值例子,以综合评估本算法在处理带有修改的结构的瞬态非线性传热分析时的性能。
更新日期:2020-07-01
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