CMP  >> Vol. 4 No. 3 (August 2015)

    An Efficient Two-Dimensional Discrete Boltzmann Model of Detonation

  • 全文下载: PDF(1704KB) HTML   XML   PP.102-111   DOI: 10.12677/CMP.2015.43012  
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离散玻尔兹曼模型爆轰波Richtmyer-Meshkov不稳定性非平衡效应Discrete Boltzmann Model Detonation Richtmyer-Meshkov Instability Non-Equilibrium Effect


本文构建了多松弛时间离散玻尔兹曼模型,并使用该模型模拟爆轰现象。相对于我们之前的一个模型[Xu A., Lin C., Zhang G., Li Y., Phys. Rev. E 91 (2015) 043306],本模型在模拟有化学反应或无化学反应流体系统时的计算效率更高。这是因为前者使用了24个离散速度,而本模型只使用16个。在模拟部分高马赫物理系统时,本模型表现出更高的数值稳定性。使用该模型,本文分四种情况模拟了爆轰波激发的Richtmyer-Meshkov不稳定性问题。当爆轰波由反应物传向另一种较轻的不反应的物质时,由于突然失去能量补充,温度急剧下降,在物质界附近将会出现一层高密区域。

A modified multiple-relaxation-time discrete Boltzmann model is proposed to simulate detona-tion. Compared with our previous model [A. Xu, C. Lin, G. Zhang, Y. Li, Phys. Rev. E 91 (2015) 043306] adopting 24 discrete velocities, this model employs only 16 ones and consequently has smaller computational cost of simulating reactive or nonreactive fluid flows. Additionally, this model has a better stability than the previous one in our numerical tests. Using this model, we simulate the Richtmyer-Meshkov instability induced by detonation wave in four cases. It is in-teresting to find that, when a detonation wave travels from the chemical reactant to a lighter nonreactive medium, since the chemical energy does not release any more, the temperature re-duces suddenly, and consequently a region with higher density exists around the material in-terface.

林传栋, 许爱国, 张广财, 李英骏. 爆轰问题的一个高效二维离散玻尔兹曼模型[J]. 凝聚态物理学进展, 2015, 4(3): 102-111.


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