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对流方程数值解法比较及分析研究 被引量:6

Comparison and analysis research on numerical method for pure convection transport
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摘要 归纳总结了求解对流方程的几种常用数值解法的格式 ,如迎风格式、四点时空偏心Preissmann格式、杨 贡日格式等 ,并从相容性、稳定性、收敛特性分析出发 ,对各种数值解法的特点进行了比较与分析 ,同时将各种解法应用到两种典型算例的验算中进行比较与分析 ,期望对于实际工作中在面临如何正确合理的选择一种合适的求解对流方程的数值解法的问题时能有一定的参考作用。 Several kinds of schemes of numerical method for pure convection transport are concluded, such as upwind scheme, 4-points eccentric preissmann scheme with time and space,Yang-Cunge scheme. Their characteristics are compared and analyzed with their accuracy, stability and convergence. They are applied to two typical calculation examples and their effectiveness are also compared and analyzed with the computed results. Finally ,we hope that the article can help to choose and apply accurate numerical method to solve actual problems.
出处 《泥沙研究》 CSCD 北大核心 2004年第1期35-42,共8页 Journal of Sediment Research
基金 国家自然科学基金重大项目资助课题 ( 5 0 0 9962 0 )
关键词 对流 数值解法 收敛特性 数值弥散 convection numerical method convergence characteristic dispersion
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参考文献6

  • 1杨国录.四点时空偏心Preissmann格式的应用问题[J].泥沙研究,1991,17(4):88-98. 被引量:33
  • 2杨国录,J.A.Cunge.对流方程解的高价数值格式[J].水利学报,1989,21(10):9-18. 被引量:12
  • 3陆金浦 关冶.偏微分方程数值解[M].北京:清华大学出版社,1987..
  • 4Holly, F M Jr , and Preissmann, A Accurate calculation of transport in two dimensions, Joumal of Hydraulic Division,ASCE, Vol. 103, No. HY11, pp. 1259 - 1277.
  • 5Xiaofeng ZHANG,Tamotsu TAKAHASHI, etc. , Undetermined Coefficient Method for Order Scheme, Reprinted from the Annuals of the Disaster Prevention Research Institute Kyoto University, No.42 B- 2, April 1999.
  • 6Leenderts,J J Aspects of A Computational for Long Period Water-Wave Propagation. Rand. Memoradum RM 5294 - Pr, 1967.

二级参考文献1

  • 1杨国录,泥沙研究,1987年,4期

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