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A finite volume method for cylindrical heat conduction problems based on local analytical solution

机译:基于局部解析解的圆柱体导热问题的有限体积法

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摘要

A new finite volume method for cylindrical heat conduction problems based on local analytical solution is proposed in this paper with detailed derivation. The calculation results of this new method are compared with the traditional second-order finite volume method. The newly proposed method is more accurate than conventional ones, even though the discretized expression of this proposed method is slightly more complex than the second-order central finite volume method, making it cost more calculation time on the same grids. Numerical result shows that the total CPU time of the new method is significantly less than conventional methods for achieving the same level of accuracy.
机译:本文提出了一种基于局部解析解的圆柱体导热问题的有限体积新方法,并对其进行了详细推导。将该新方法的计算结果与传统的二阶有限体积方法进行了比较。新提出的方法比传统方法更准确,即使该提议方法的离散表达式比二阶中心有限体积方法稍微复杂一些,也使得在相同网格上花费更多的计算时间。数值结果表明,新方法的总CPU时间明显少于传统方法,以达到相同的精度水平。

著录项

  • 来源
    《International Journal of Heat and Mass Transfer》 |2012年第22期|p.5570-5582|共13页
  • 作者单位

    Beijing Key Laboratory of Urban Oil and Cas Distribution Technology, China University of Petroleum, Beijing 102249, People's Republic of China;

    Beijing Key Laboratory of Urban Oil and Cas Distribution Technology, China University of Petroleum, Beijing 102249, People's Republic of China;

    Beijing Key Laboratory of Urban Oil and Cas Distribution Technology, China University of Petroleum, Beijing 102249, People's Republic of China;

    Beijing Key Laboratory of Urban Oil and Cas Distribution Technology, China University of Petroleum, Beijing 102249, People's Republic of China;

    Computational Transport Phenomena Laboratory, Division of Physical Science and Engineering, King Abdullah University of Science and Technology,Thuwal 23955-6900, Saudi Arabia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    heat conduction; cylindrical coordinate; analytical solution; second-order central difference scheme; finite volume method;

    机译:导热圆柱坐标分析溶液;二阶中心差分方案;有限体积法;

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