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转动非平衡玻尔兹曼模型方程统一算法与全流域绕流计算应用

李志辉 蒋新宇 吴俊林 彭傲平

李志辉, 蒋新宇, 吴俊林, 彭傲平. 转动非平衡玻尔兹曼模型方程统一算法与全流域绕流计算应用[J]. 力学学报, 2014, 46(3): 336-351. doi: 10.6052/0459-1879-13-246
引用本文: 李志辉, 蒋新宇, 吴俊林, 彭傲平. 转动非平衡玻尔兹曼模型方程统一算法与全流域绕流计算应用[J]. 力学学报, 2014, 46(3): 336-351. doi: 10.6052/0459-1879-13-246
Li Zhihui, Jiang Xinyu, Wu Junlin, Peng Aoping. GAS-KINETIC UNIFIED ALGORITHM FOR BOLTZMANN MODEL EQUATION IN ROTATIONAL NONEQUILIBRIUM AND ITS APPLICATION TO THE WHOLE RANGE FLOW REGIMES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(3): 336-351. doi: 10.6052/0459-1879-13-246
Citation: Li Zhihui, Jiang Xinyu, Wu Junlin, Peng Aoping. GAS-KINETIC UNIFIED ALGORITHM FOR BOLTZMANN MODEL EQUATION IN ROTATIONAL NONEQUILIBRIUM AND ITS APPLICATION TO THE WHOLE RANGE FLOW REGIMES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(3): 336-351. doi: 10.6052/0459-1879-13-246

转动非平衡玻尔兹曼模型方程统一算法与全流域绕流计算应用

doi: 10.6052/0459-1879-13-246
基金项目: 973计划(2014CB744100),国家自然科学基金(91016027,11325212)和空气动力学国家重点实验室研究基金资助项目.
详细信息
    作者简介:

    李志辉,研究员,主要研究方向:稀薄气体动力学与计算流体力学.E-mail:zhli0097@x263.net

  • 中图分类号: V211.25

GAS-KINETIC UNIFIED ALGORITHM FOR BOLTZMANN MODEL EQUATION IN ROTATIONAL NONEQUILIBRIUM AND ITS APPLICATION TO THE WHOLE RANGE FLOW REGIMES

Funds: The project was supported by the 973 Program (2014CB744100), the National Natural Science Foundation of China (91016027, 11325212) and the Researching Fund of State Key Laboratory of Aerodynamics.
  • 摘要: 基于过去开展稀薄自由分子流到连续流气体运动论统一算法框架,采用转动惯量描述气体分子自旋运动,确立含转动非平衡效应各流域统一玻尔兹曼模型方程.基于转动能量对分布函数守恒积分,得到计及转动非平衡效应气体分子速度分布函数方程组,使用离散速度坐标法对分布函数方程所依赖速度空间离散降维;应用拓展计算流体力学有限差分方法,构造直接求解分子速度分布函数的气体动理论数值格式;基于物面质量流量通量守恒与能量平衡关系,发展计及转动非平衡气体动理论边界条件数学模型及数值处理方法,提出模拟各流域转动非平衡效应玻尔兹曼模型方程统一算法.通过高、低不同马赫数1:5~25氮气激波结构与自由分子流到连续流全飞行流域不同克努森数(9×10-4~10)Ramp制动器、圆球、尖双锥飞行器、飞船返回舱外形体再入跨流域绕流模拟研究,将计算结果与有关实验数据、稀薄流DSMC模拟值等结果对比分析,验证统一算法模拟自由分子流到连续流再入过程高超声速绕流问题的可靠性与精度.

     

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出版历程
  • 收稿日期:  2013-07-30
  • 修回日期:  2014-02-13
  • 刊出日期:  2014-05-18

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