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任意精度的三点紧致显格式及其在CFD中的应用

林建国 谢志华 周俊陶

林建国, 谢志华, 周俊陶. 任意精度的三点紧致显格式及其在CFD中的应用[J]. 应用数学和力学, 2007, 28(7): 843-852.
引用本文: 林建国, 谢志华, 周俊陶. 任意精度的三点紧致显格式及其在CFD中的应用[J]. 应用数学和力学, 2007, 28(7): 843-852.
LIN Jian-guo, XIE Zhi-hua, ZHOU Jun-tao. Three-Point Explicit Compact Difference Scheme With Arbitrary Order of Accuracy and Its Applicatin in CFD[J]. Applied Mathematics and Mechanics, 2007, 28(7): 843-852.
Citation: LIN Jian-guo, XIE Zhi-hua, ZHOU Jun-tao. Three-Point Explicit Compact Difference Scheme With Arbitrary Order of Accuracy and Its Applicatin in CFD[J]. Applied Mathematics and Mechanics, 2007, 28(7): 843-852.

任意精度的三点紧致显格式及其在CFD中的应用

基金项目: 国家自然科学基金资助项目(50479053)
详细信息
    作者简介:

    林建国(1960- ),男,大连人,教授,博士生导师(联系人.Tel:+86-411-82931948;Fax:+86-411-84727632;E-mail:ljglin@126.com).

  • 中图分类号: O241.82;X145

Three-Point Explicit Compact Difference Scheme With Arbitrary Order of Accuracy and Its Applicatin in CFD

  • 摘要: 通过在泰勒级数展开中运用逐阶迭代的方法,推导出了空间任意精度的三点紧致显格式的表达式,又由Fourier分析法得到了格式的数值弥散和耗散特性.与以往的高精度紧致差分格式不同,提出的格式不用隐式求解代数方程组并且可以达到任意精度.通过方波问题和顶盖方腔流的算例表明,格式在稀疏网格下可以得到很高的精度,不仅能节省计算量,而且易于编程,有很高的计算效率.
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出版历程
  • 收稿日期:  2006-05-15
  • 修回日期:  2007-04-26
  • 刊出日期:  2007-07-15

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