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Boltzmann-Rykov模型的有限体积方法计算

吴俊林 李志辉 彭傲平 蒋新宇

吴俊林, 李志辉, 彭傲平, 蒋新宇. Boltzmann-Rykov模型的有限体积方法计算[J]. 应用数学和力学, 2014, 35(2): 121-129. doi: 10.3879/j.issn.1000-0887.2014.02.002
引用本文: 吴俊林, 李志辉, 彭傲平, 蒋新宇. Boltzmann-Rykov模型的有限体积方法计算[J]. 应用数学和力学, 2014, 35(2): 121-129. doi: 10.3879/j.issn.1000-0887.2014.02.002
WU Jun-lin, LI Zhi-hui, PENG Ao-ping, JIANG Xin-yu. Calculation of Boltzmann-Rykov Model Equation by Finite Volume Method[J]. Applied Mathematics and Mechanics, 2014, 35(2): 121-129. doi: 10.3879/j.issn.1000-0887.2014.02.002
Citation: WU Jun-lin, LI Zhi-hui, PENG Ao-ping, JIANG Xin-yu. Calculation of Boltzmann-Rykov Model Equation by Finite Volume Method[J]. Applied Mathematics and Mechanics, 2014, 35(2): 121-129. doi: 10.3879/j.issn.1000-0887.2014.02.002

Boltzmann-Rykov模型的有限体积方法计算

doi: 10.3879/j.issn.1000-0887.2014.02.002
基金项目: 国家自然科学基金(91016027);国家重点基础研究发展计划(973计划)(2014CB744100)
详细信息
    作者简介:

    吴俊林(1985—),男,四川会理人,硕士(Tel: +86-816-2465261; E-mail: wujunlin130@aliyun.com);

  • 中图分类号: O356;V211.25

Calculation of Boltzmann-Rykov Model Equation by Finite Volume Method

Funds: The National Natural Science Foundation of China(91016027); The National Basic Research Program of China (973 Program)(2014CB744100)
  • 摘要: 构建一种三阶精度的有限体积格式,数值求解考虑转动非平衡影响的Boltzmann-Rykov模型方程.针对模型方程的速度空间离散得到各个离散速度坐标点上彼此独立的控制方程组,运用高阶精度的半离散化有限体积格式在位置空间对离散控制方程进行数值求解,时间项采用三阶Runge-Kutta方法推进,方程右端二体碰撞项采用中心近似技术.该有限体积格式在气体分子对流运动项上具有三阶精度,同时保证了分布函数的正定性和流通量守恒.计算结果与有限差分方法数值模拟结果和连续流区非定常激波管问题的Riemann精确解均吻合较好,说明基于有限体积法的Boltzmann-Rykov模型方程数值求解过程是正确的.
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出版历程
  • 收稿日期:  2013-07-01
  • 修回日期:  2013-12-09
  • 刊出日期:  2014-02-15

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