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三阶中心无振荡格式性能分析

李彦苏 阎超 屈峰 于剑

李彦苏, 阎超, 屈峰, 等 . 三阶中心无振荡格式性能分析[J]. 北京航空航天大学学报, 2014, 40(11): 1576-1580. doi: 10.13700/j.bh.1001-5965.2013.0734
引用本文: 李彦苏, 阎超, 屈峰, 等 . 三阶中心无振荡格式性能分析[J]. 北京航空航天大学学报, 2014, 40(11): 1576-1580. doi: 10.13700/j.bh.1001-5965.2013.0734
Li Yansu, Yan Chao, Qu Feng, et al. Analysis for centered nonoscillatory scheme of third order[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(11): 1576-1580. doi: 10.13700/j.bh.1001-5965.2013.0734(in Chinese)
Citation: Li Yansu, Yan Chao, Qu Feng, et al. Analysis for centered nonoscillatory scheme of third order[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(11): 1576-1580. doi: 10.13700/j.bh.1001-5965.2013.0734(in Chinese)

三阶中心无振荡格式性能分析

doi: 10.13700/j.bh.1001-5965.2013.0734
基金项目: 国家重点基础研究发展计划资助项目(2009CB724104)
详细信息
    作者简介:

    李彦苏(1990-),女,江苏南通人,博士生,yansu_li@126.com.

  • 中图分类号: V211.3

Analysis for centered nonoscillatory scheme of third order

  • 摘要: 三阶中心无振荡格式Cn3(Centered nonoscillatory scheme of third order)使用对称模板构造具有三阶精度的插值公式.利用单调区域与精确区域修正原始插值参数,该格式能够获得间断附近无振荡、光滑区域高精度的计算结果.通过一维和二维典型算例,将Cn3格式与三阶和五阶WENO格式(Weighted Essentially Non-Oscillatory schemes)进行比较,重点分析了3种格式的间断分辨率、计算稳定性和数值耗散性.分析可见,Cn3格式能够精确、稳定地捕捉激波和接触间断,同时对光滑流动区域的小尺度流动结构保持较低的耗散,值得进一步研究及推广应用.

     

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出版历程
  • 收稿日期:  2014-01-08
  • 网络出版日期:  2014-11-20

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