力学与实践 ›› 1998, Vol. 20 ›› Issue (4): 9-11.DOI: 10.6052/1000-0879-1999-293

• 应用研究 • 上一篇    下一篇

获得热传导问题“拟解析解”的精细积分算法

张洪武 张鹏 钟万勰   

  1. 大连理工大学工业装备与结构分析国家重点实验室,辽宁 大连 116024 大连理工大学工程力学研究所
  • 收稿日期:2006-08-01 修回日期:1900-01-01 出版日期:1998-08-10 发布日期:1998-08-10

A PRECISE INTEGRATION METHOD FOR THE QUASI ANALYTICAL SOLUTION OF HEAT CONDUCTION

  • Received:2006-08-01 Revised:1900-01-01 Online:1998-08-10 Published:1998-08-10

摘要: 研究并讨论了用于热传导分析有限元解的精细积分算法,算法很好地克服了传统方法求解时的单调性问题,且对空间离散后所获得方程的解是解析的,因而算法的解将具有“拟解析解”的意义,论文证明了算法单调性.

关键词: 热传导, 数值方法, 精细积分

Abstract: The precise integration method for the finite element solution of heat conduction problems is studied in this paper. The monotonous property of the method is discussed. From accuracy analysis, it is obvious that the solution obtained by the new method is analytical for the equations derived by the space discretization of the original governing equations. So the solution obtained by the new method could be called quasi analytical solution, and the new method is very useful for the numerical solution of some...

Key words: heat conduction, numerical method, precise integration