Fast precise integration method for hyperbolic heat conduction problems

被引：0
|
作者：
吴峰 [1 ]
高强 [1 ]
钟万勰 [1 ]
机构：
[1] State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology
来源：
AppliedMathematicsandMechanics(EnglishEdition) | 2013年 / 34卷 / 07期
基金：
中国国家自然科学基金;
关键词：
hyperbolic heat conduction; sparse matrix; precise integration method; matrix exponential; fast algorithm;
D O I：
暂无
中图分类号：
TK124 [传热学];
学科分类号：
摘要：
A fast precise integration method is developed for the time integral of the hyperbolic heat conduction problem. The wave nature of heat transfer is used to analyze the structure of the matrix exponential, leading to the fact that the matrix exponential is sparse. The presented method employs the sparsity of the matrix exponential to improve the original precise integration method. The merits are that the proposed method is suit- able for large hyperbolic heat equations and inherits the accuracy of the original version and the good computational efficiency, which are verified by two numerical examples.
引用
收藏
页码：791 / 800
页数：10
相关论文
共 50 条
  • [1] Fast precise integration method for hyperbolic heat conduction problems
    Wu, Feng
    Gao, Qiang
    Zhong, Wan-xie
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2013, 34 (07) : 791 - 800
  • [2] Fast precise integration method for hyperbolic heat conduction problems
    Feng Wu
    Qiang Gao
    Wan-xie Zhong
    Applied Mathematics and Mechanics, 2013, 34 : 791 - 800
  • [3] A precise integration boundary element method for solving transient heat conduction problems
    Yao, Weian
    Yu, Bo
    Gao, Xiaowei
    Gao, Qiang
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2014, 78 : 883 - 891
  • [4] A precise integration boundary element method for solving transient heat conduction problems
    Yao, Weian
    Yu, Bo
    Gao, Xiaowei
    Gao, Qiang
    International Journal of Heat and Mass Transfer, 2014, 78 : 883 - 891
  • [5] A precise integration boundary element method for solving transient heat conduction problems
    Yao, Weian
    Yu, Bo
    Gao, Xiaowei
    Gao, Qiang
    International Journal of Heat and Mass Transfer, 2014, 78 : 883 - 891
  • [6] Application of the precise time integration method to unsteady heat conduction problems (Study of accuracy and practicality of the precise time integration method)
    Fukuyo, Kazuhiro
    Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 2004, 70 (694): : 1533 - 1540
  • [7] Numerical method for hyperbolic inverse heat conduction problems
    Chen, HT
    Peng, SY
    Yang, PC
    Fang, LC
    INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2001, 28 (06) : 847 - 856
  • [8] A fast precise integration method for structural dynamics problems
    Gao, Q.
    Wu, F.
    Zhang, H. W.
    Zhong, W. X.
    Howson, W. P.
    Williams, F. W.
    STRUCTURAL ENGINEERING AND MECHANICS, 2012, 43 (01) : 1 - 13
  • [9] Substructures precise time integration method for transient heat conduction
    Chen, B.S.
    Gu, Y.X.
    Yingyong Lixue Xuebao/Chinese Journal of Applied Mechanics, 2001, 18 (01): : 14 - 18
  • [10] Differential Quadrature Method for Solving Hyperbolic Heat Conduction Problems
    Hsu, Ming-Hung
    JOURNAL OF APPLIED SCIENCE AND ENGINEERING, 2009, 12 (03): : 331 - 338
12345