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A novel efficient method for transient heat analysis of cylindrical periodic structure based on the physical features and group theory.

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Title: A novel efficient method for transient heat analysis of cylindrical periodic structure based on the physical features and group theory.
Authors: Nie, C. B.1 (AUTHOR), Fu, B. W.1 (AUTHOR), Gao, Q.1 (AUTHOR) qgao@dlut.edu.cn
Source: Numerical Heat Transfer: Part B -- Fundamentals. 2024, Vol. 85 Issue 11, p1461-1488. 28p.
Subjects: Crank-Nicolson method, Group theory, Heat conduction, Superposition principle (Physics), Transient analysis
Abstract: 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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract: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. [ABSTRACT FROM AUTHOR]
ISSN:10407790
DOI:10.1080/10407790.2023.2266769