期刊文献+

提高热平衡积分法的求解精度

Improving the Accuracy of Heat Balance Integral Methods
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摘要 通过引入最小误差函数,并将其应用于传统的热平衡积分法,改进的热平衡积分法和替换的热平衡积分法,在求解的过程中来确定近似多项式的次数,有效降低了事先给定多项式次数引起的误差,通过对计算结果的比较,得出此方法求得的结果要明显优于传统的热平衡积分法,进而实现精度的提高. A minimum error function is employed in Heat Balance Integral Method, Refined Integral Method and Mternative Refined Integral Method, and the exponent of the approximating polynomal is deter- mined during solution process. The new solutions are compared with the known solutions,which surpass the traditional HIMB. So, the accuracy of the solutions is improved
作者 王轶昆
出处 《内蒙古工业大学学报(自然科学版)》 2012年第2期14-19,共6页 Journal of Inner Mongolia University of Technology:Natural Science Edition
关键词 传统的热平衡积分法 改进的热平衡积分法 替换的热平衡积分法 traditional heat balance integral method refined integral method alternative refined integral method
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参考文献11

  • 1Goodman. The heat balance integral and its application to problem involving a change of phase[ J]. Trans ASME Journal of Heat Transfer, 1985,80:335 - 342.
  • 2L. Fox,What are the best numerical methods? PP. 210 -241. Clarendon Press,Oxford(1975).
  • 3D. Langford, The heat balance integral method, [ J ]. Heat Mass Transfer 16,2424 - 2428 ( 1973 ).
  • 4Wood A S. A new look at the heat balance integral method[ J]. Applied Mathematical Modeling,2001,25 (10) :815 -824.
  • 5S.L. Mitchell ,T. G. myers, Application of standard and refined heat balance integral methods to one dimensional Stefan Problem. SIAM Review,52(1) :57 - 86 (2010).
  • 6T. G. Myers, Optimal exponent heat blance and refined integral methods applied to Stefan problems. Iternational Journal of Heat and Mass Transfer 53(2010) 1119 -1127.
  • 7S. L. Mitchell, T. G. Myers, Improving the accuracy of heat blance integral methods applied to thermal problems with time dependent boundary conditions. Itemational Journal of Heat and Mass Transfer 53 (2010) 3540 -3551.
  • 8徐湘田,令锋.单相融化问题热平衡积分细化解的收敛性[J].内蒙古大学学报(自然科学版),2009,40(2):128-131. 被引量:7
  • 9徐湘田,令锋.Neumann问题热平衡积分法细化解的收敛性[J].工程数学学报,2010,27(3):503-512. 被引量:5
  • 10G. E. Bell, A Refinement of the heat balance integral method applied to a melting problem, Int. J. Heat Mass Transfer ( 197S ) :1357 - 1362.

二级参考文献20

  • 1Goodman T R. The heat-balance integral and its application to problems involving a change of phase [J]. Trans. ASME Journal of Heat Transfer, 1958,80 : 335 -342.
  • 2Wood A S. A new look at the heat balance integral method [J].Applied Mathematical Modelling. 2001.25: 815 -824.
  • 3Langford D. The Heat Balance Integral Method [J]. Int. J. Heat Mass Transfer, 1973,16 : 2 424-2428.
  • 4Crank J. The mathematics of Diffusion [M]. Oxford: Clarendon Press. 1964. 310- 325.
  • 5Noble B. Heat balance methods in melting problems [A]. Ockendon J R ,Hodgkins W R.eds. Moving Boundary Problems in Heat Flow and Diffusion[C]. Oxford: Clarendon Press,1975,208-209.
  • 6Bell G E. A refinement of the Heat Balance Integral Method applied to a Melting Problem [J] Int. J. Heat Mass Transfer, 1978.21 : 1357-1362.
  • 7Bell G E. Solidification of a Liquid about a Cylindrical Pipe [J]. Int. J. Heat Mass Transfer, 1979,22:1 681-1686.
  • 8Bell G E. Abbas S K. Convergence properties of the heat balance integral method [J]. Numerical Heat Transfer, 1985,8: 373-382.
  • 9Mosally F, Wood A S, AL-Fhaid A. On the convergence of the heat balance integral method [J]. Applied Mathematical Modelling, 2005,29 : 903 -12.
  • 10Goodman T R. The heat-balance integral and its application to problems involving a change of phase[J]. Tran ASMEJ Heat Transfer, 1958, 80:335-342.

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