A novel efficient method for transient heat analysis of cylindrical periodic structure based on the physical features and group theory
A novel efficient method for transient heat analysis of cylindrical periodic structure based on the physical features and group theory
复制标题
DOI：
10.1080/10407790.2023.2266769
复制
发表时间：
2023-10
期刊：
影响因子：
--
通讯作者：
C. Nie;B. W. Fu;Q. Gao
中科院分区：
文献类型：
--
作者：
C. Nie;B. W. Fu;Q. Gao
本文提出了一种新的计算圆柱周期结构瞬态温度响应的高效、精确的数值方法。利用结构的周向循环周期特性，利用群论，提出了一种周向分解策略，将圆柱周期结构的温度响应分析转化为一维周期结构的分析。然后，基于瞬态热传导的物理本质，提出了一种轴向分解策略，将一维周期结构的温度计算转化为一系列小尺度结构的温度计算。这些小尺度结构的计算成本进一步降低，通过使用群论。数值算例表明，与Crank-Nicolson方法相比，该方法具有更高的精度和计算效率。当Crank-Nicolson方法获得可接受的结果时，该方法分别比使用直接和预处理共轭梯度求解器的Crank-Nicolson方法快约10倍和20倍。
In this paper, a novel efficient and accurate numerical method is developed for analyzing the transient temperature responses of cylindrical periodic structures. By exploiting the structure’s circumferential cyclic periodic property and leveraging group theory, a circumferential decomposition strategy is presented to transform the temperature response analysis of the cylindrical periodic structure into the analyses of a series of one-dimensional periodic structures. Then, based on the physical nature of the transient heat conduction, an axial decomposition strategy is developed to convert the computations of the temperatures of these one-dimensional periodic structures into the calculations of the temperatures of a series of small-scale structures. The computational cost of these small-scale structures is further reduced by using the group theory. Several numerical examples demonstrate that the proposed method has higher accuracy and computational efficiency in comparison with the Crank-Nicolson method. When the Crank-Nicolson method attains the acceptable results, the proposed method is about 10 and 20 times faster than the Crank-Nicolson method with direct and preconditioning conjugate gradient solvers, respectively.