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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]
Copyright of Numerical Heat Transfer: Part B -- Fundamentals is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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  Data: A novel efficient method for transient heat analysis of cylindrical periodic structure based on the physical features and group theory.
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  Data: <searchLink fieldCode="AR" term="%22Nie%2C+C%2E+B%2E%22">Nie, C. B.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Fu%2C+B%2E+W%2E%22">Fu, B. W.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Gao%2C+Q%2E%22">Gao, Q.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> qgao@dlut.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Numerical+Heat+Transfer%3A+Part+B+--+Fundamentals%22">Numerical Heat Transfer: Part B -- Fundamentals</searchLink>. 2024, Vol. 85 Issue 11, p1461-1488. 28p.
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  Data: <searchLink fieldCode="DE" term="%22Crank-Nicolson+method%22">Crank-Nicolson method</searchLink><br /><searchLink fieldCode="DE" term="%22Group+theory%22">Group theory</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+conduction%22">Heat conduction</searchLink><br /><searchLink fieldCode="DE" term="%22Superposition+principle+%28Physics%29%22">Superposition principle (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Transient+analysis%22">Transient analysis</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Numerical Heat Transfer: Part B -- Fundamentals is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Identifiers:
      – Type: doi
        Value: 10.1080/10407790.2023.2266769
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 28
        StartPage: 1461
    Subjects:
      – SubjectFull: Crank-Nicolson method
        Type: general
      – SubjectFull: Group theory
        Type: general
      – SubjectFull: Heat conduction
        Type: general
      – SubjectFull: Superposition principle (Physics)
        Type: general
      – SubjectFull: Transient analysis
        Type: general
    Titles:
      – TitleFull: A novel efficient method for transient heat analysis of cylindrical periodic structure based on the physical features and group theory.
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            NameFull: Nie, C. B.
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            NameFull: Fu, B. W.
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            NameFull: Gao, Q.
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            – D: 01
              M: 11
              Text: 2024
              Type: published
              Y: 2024
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              Value: 85
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              Value: 11
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            – TitleFull: Numerical Heat Transfer: Part B -- Fundamentals
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