一维爆轰波不稳定性的数值模拟

洪滔; 秦承森

doi:10.11858/gywlxb.2003.04.003

一维爆轰波不稳定性的数值模拟

doi: 10.11858/gywlxb.2003.04.003

洪滔,
秦承森

北京应用物理与计算数学研究所，北京 100088

详细信息

通讯作者:
洪滔

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出版历程
- 收稿日期: 2002-10-16
- 修回日期: 2003-07-15
- 发布日期: 2003-12-05

Numerical Simulation of One-Dimensional Instability of Detonation Wave

Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

More Information

Corresponding author: HONG Tao

摘要

摘要: 对当量比为1的乙烷与空气的混合气体的一维爆轰不稳定问题进行数值模拟，得到了不同大小的网格对爆轰不稳定问题数值模拟结果的影响。网格大小x由从ZND模型分析得到的导引长度Lin确定，网格大小从0.2Lin变到0.002 5Lin。随着网格变细，没有得到振幅趋于一致的解，每一种网格尺寸得到的解的振幅都互不相同。当网格大小为x=0.01Lin、0.005Lin时，得到有规则的爆轰激波阵面压力的振荡，振荡的模式是峰值一大一小的振荡。网格更细时，爆轰波的振荡在计算范围内由一些有规则的振荡和一些较不规则的振荡组成。但爆轰激波阵面压力振荡的波长最后趋于一致，为91~93 mm，与实验得到的胞格长度88 mm很接近。
- 爆轰波 /
- 不稳定性 /
- 胞格尺寸 /
- 数值模拟
Abstract: The nonlinear instability of an one-dimensional detonation wave was numerically simulated in the mixture of C2H6 and air with equivalence of 1. The influence of mesh size on the numerical results of pulsating of shock history was analyzed. Mesh size in calculation was fixed in according to the length of induction zone Lin, which was determined from ZND model to be 4.6 mm for the detonation wave in the mixture of C2H6 and air. As the decrease of mesh size, the solutions of pressure history do not tend to be identical. Detonation shock history was very irregular as the mesh size was not fine enough. As the mesh size was 0.01Lin and 0.005Lin, pulsating was regular with the mode of period-doubling mode. As the mesh size was 0.0025Lin, pulsating consisted of a series of regular oscillations and three irregular oscillations in the range of calculation, but finally the average wavelength of oscillations tended to 91~93 mm which approaches to the length of cell size of 88 mm from the experiments.
- detonation wave /
- instability /
- cell size /
- numerical simulation

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参考文献(14)

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