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一种健壮的低耗散通量分裂格式

胡立军 袁礼 翟健

胡立军, 袁礼, 翟健. 一种健壮的低耗散通量分裂格式[J]. 应用数学和力学, 2019, 40(2): 150-166. doi: 10.21656/1000-0887.390132
引用本文: 胡立军, 袁礼, 翟健. 一种健壮的低耗散通量分裂格式[J]. 应用数学和力学, 2019, 40(2): 150-166. doi: 10.21656/1000-0887.390132
HU Lijun, YUAN Li, ZHAI Jian. A Robust and Low-Dissipation Flux Splitting Scheme[J]. Applied Mathematics and Mechanics, 2019, 40(2): 150-166. doi: 10.21656/1000-0887.390132
Citation: HU Lijun, YUAN Li, ZHAI Jian. A Robust and Low-Dissipation Flux Splitting Scheme[J]. Applied Mathematics and Mechanics, 2019, 40(2): 150-166. doi: 10.21656/1000-0887.390132

一种健壮的低耗散通量分裂格式

doi: 10.21656/1000-0887.390132
详细信息
    作者简介:

    胡立军(1985—),男,博士(通讯作者. E-mail: hulijun@lsec.cc.ac.cn).

  • 中图分类号: O354;O241.82

A Robust and Low-Dissipation Flux Splitting Scheme

  • 摘要: 随着计算流体力学的快速发展,设计精确、高效并且健壮的数值格式变得尤为重要.通过对3种流行的通量分裂方法(AUSM、Zha-Bilgen和Toro-Vázquez)的对流通量和压力通量进行特征分析,构造了一种简单、低耗散并且健壮的通量分裂格式(命名为R-ZB格式).采用Zha-Bilgen分裂方法将Euler方程的通量分裂成对流通量和压力通量,其中对流通量采用迎风方法来计算,压力通量采用低耗散的HLL格式来计算,从而克服了原始的HLL格式不能精确分辨接触间断的缺点.数值实验表明,该文给出的R-ZB格式不仅保留了原始Zha-Bilgen格式简单高效、能够精确分辨接触间断等优点,而且具有更好的健壮性,在计算二维问题时不会出现数值激波不稳定现象.
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出版历程
  • 收稿日期:  2018-04-25
  • 修回日期:  2018-06-13
  • 刊出日期:  2019-02-01

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