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气体动理学统一算法的隐式方法研究

毛枚良 江定武 李锦 邓小刚

毛枚良, 江定武, 李锦, 邓小刚. 气体动理学统一算法的隐式方法研究[J]. 力学学报, 2015, 47(5): 822-829. doi: 10.6052/0459-1879-14-408
引用本文: 毛枚良, 江定武, 李锦, 邓小刚. 气体动理学统一算法的隐式方法研究[J]. 力学学报, 2015, 47(5): 822-829. doi: 10.6052/0459-1879-14-408
Mao Meiliang, Jiang Dingwu, Li Jin, Deng Xiaogang. STUDY ON IMPLICIT IMPLEMENTATION OF THE UNIFIED GAS KINETIC SCHEME[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(5): 822-829. doi: 10.6052/0459-1879-14-408
Citation: Mao Meiliang, Jiang Dingwu, Li Jin, Deng Xiaogang. STUDY ON IMPLICIT IMPLEMENTATION OF THE UNIFIED GAS KINETIC SCHEME[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(5): 822-829. doi: 10.6052/0459-1879-14-408

气体动理学统一算法的隐式方法研究

doi: 10.6052/0459-1879-14-408
基金项目: 国家自然科学基金(11402287)、空气动力学国家重点实验室研究基金(SKLA2015-1-2)资助项目.
详细信息
    通讯作者:

    毛枚良,研究员,主要研究方向:复杂流动数值模拟方法及应用.E-mail:l219@163.com

  • 中图分类号: V211.3

STUDY ON IMPLICIT IMPLEMENTATION OF THE UNIFIED GAS KINETIC SCHEME

Funds: The project was supported by the National Natural Science Fundation of China(11402287) and Study Fund of State Key Laboratory of Aerodynamics (SKLA2015-1-2).
  • 摘要: 目前的气体动理学统一算法(unified gas kinetic scheme, 简称UGKS) 在求解高速流动问题时的计算效率,难以满足求解复杂工程问题的需求. 为了提高该算法的计算效率, 本文对模型方程的对流项和碰撞项进行了隐式处理, 并针对UGKS 界面通量与演化时间相关的特点, 引入了演化时间平均界面通量, 通过对控制方程矩阵进行近似LU 分解(lower-upper decomposition), 实现了隐式UGKS. 不同来流马赫数的圆柱绕流算例测试表明, 只要演化时间选取得当, 隐式方法可以得到与显式方法完全相同的结果, 且计算效率可以提高1~2 个量级.

     

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出版历程
  • 收稿日期:  2014-12-19
  • 修回日期:  2015-06-06
  • 刊出日期:  2015-09-18

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