球坐标系下多介质混合物模型的数值模拟

吴宗铎 赵勇 严谨 宗智 高云

吴宗铎, 赵勇, 严谨, 宗智, 高云. 球坐标系下多介质混合物模型的数值模拟[J]. 爆炸与冲击, 2019, 39(5): 054204. doi: 10.11883/bzycj-2018-0075
引用本文: 吴宗铎, 赵勇, 严谨, 宗智, 高云. 球坐标系下多介质混合物模型的数值模拟[J]. 爆炸与冲击, 2019, 39(5): 054204. doi: 10.11883/bzycj-2018-0075
WU Zongduo, ZHAO Yong, YAN Jin, ZONG Zhi, GAO Yun. Numerical simulation about the multi-component mixture model under spherical coordinate system[J]. Explosion And Shock Waves, 2019, 39(5): 054204. doi: 10.11883/bzycj-2018-0075
Citation: WU Zongduo, ZHAO Yong, YAN Jin, ZONG Zhi, GAO Yun. Numerical simulation about the multi-component mixture model under spherical coordinate system[J]. Explosion And Shock Waves, 2019, 39(5): 054204. doi: 10.11883/bzycj-2018-0075

球坐标系下多介质混合物模型的数值模拟

doi: 10.11883/bzycj-2018-0075
基金项目: 国家自然科学基金(11702066,51679021,51609206,51679037);广东省自然科学基金(2017A030313275)
详细信息
    作者简介:

    吴宗铎(1984- ),男,博士,讲师,wuzongduo0@aliyun.com

    通讯作者:

    赵 勇(1981- ),男,博士,副教授,fluid@126.com

  • 中图分类号: O.382; O359+.1

Numerical simulation about the multi-component mixture model under spherical coordinate system

  • 摘要: 利用多介质混合模型在求解球坐标系下的Riemann问题时,需要考虑界面处压力平衡性弱、奇点处理、状态方程复杂等多个难点。本文将原始基于体积分数的Mie-Grüneisen多介质混合模型扩展到球坐标系下,并对多个细节进行了修正和改进,包括:在界面处对热力学参数进行修正、采用质量分数导出新输送方程、利用质量分数加权计算偏导数、采用相邻网格点的物理量定义奇点等。经过改进后的计算模型,可以得到无振荡的数值解,而且可以准确捕捉到冲击波和界面的位置。另外,使用改进后的质量分数模型比原始的体积分数模型得到的计算结果更准确。
  • 图  1  平面冲击波界面处p的数值特征

    Figure  1.  The numerical property of p at the interfacefor plane shock wave

    图  2  冲击波与界面位置随时间的变化

    Figure  2.  Time evolutions of position of shock wave and interface

    图  3  冲击波到达3倍R0时,压力与速度的分布

    Figure  3.  The distributions of pressure and velocity when shock wave reaches 3R0

    图  4  冲击波到达不同位置处的压力曲线

    Figure  4.  Pressure curves at the time instants when the shock wave reaches different positions

    图  5  冲击波在不同位置处的压力峰值变化

    Figure  5.  Peak value variation of pressure of the shock wave at different positions

    图  6  不同计算模型下压力随时间变化曲线

    Figure  6.  Time evolutions of pressure for different numerical models

    表  1  状态方程参数

    Table  1.   Coefficients of EOS

    材料 ρ0/(kg·m−3) A/GPa B/GPa R1 R2 ω
    TNT炸药 1 630 371.2 3.21 4.15 0.95 0.35
    下载: 导出CSV
    材料 ρ0/(kg·m−3) a1/GPa a2/GPa a3/GPa b0 b1 b2 b3
    1 000 2.19 9.224 8.767 0.394 1.393 7 0 0
    下载: 导出CSV
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出版历程
  • 收稿日期:  2018-03-12
  • 修回日期:  2018-06-27
  • 刊出日期:  2019-05-01

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