A Novel Method for Transient Heat Conduction in a Quasi-Periodic Structure With Nonlinear Defects
A Novel Method for Transient Heat Conduction in a Quasi-Periodic Structure With Nonlinear Defects
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DOI：
10.1115/1.4048469
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发表时间：
2020-12
影响因子：
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通讯作者：
H. Cui;Q. Gao;Xiaolan Li;H. Ouyang
中科院分区：
文献类型：
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作者：
H. Cui;Q. Gao;Xiaolan Li;H. Ouyang
本文提出了具有非线性缺陷的准周期结构中瞬态热传导的一种有效的数值计算方法。根据瞬态热传导的物理特性，提出了含非线性缺陷的准周期结构中瞬态热传导的拟叠加原理，并提出了一种新的方法，将拟周期结构中的瞬态热传导问题分解为一个完整周期结构的线性问题和一些含缺陷的小尺度结构的非线性问题。由于所要解决的非线性问题的规模大大减小，所需的计算资源也很低，因此获得了出色的效率。最后通过数值算例验证了该方法的有效性和准确性。
This paper proposes an efficient numerical method for transient heat conduction in a quasi-periodic structure with nonlinear defects. According to the physical features of transient heat conduction, a quasi-superposition principle for transient heat conduction in a quasi-periodic structure with nonlinear defects is presented, and then a new method is developed to separate the above nonlinear problem to be solved into a linear problem of a perfect periodic structure and nonlinear problems of some small-scale structures with defects. As the scale of nonlinear problem to be solved is significantly reduced and low computational resource is required, outstanding efficiency is achieved. Finally, a numerical example shows that the proposed method is effective and accurate.