Formula for growth rate of mixing width applied to Richtmyer-Meshkov instability

Formula for growth rate of mixing width applied to Richtmyer-Meshkov instability
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适用于 Richtmyer-Meshkov 不稳定性的混合宽度增长率公式

DOI:
10.1063/1.4966226
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发表时间:
2016-11
期刊:
影响因子:
4.6
通讯作者:
Tian BL
Tian BL
中科院分区:
工程技术2区
文献类型:
--
作者:
Gao Fujie;Zhang Yousheng;He Zhiwei;Tian Baolin;Tian BL

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混合带宽度及其增长速度在研究richhtmyer - meshkov不稳定性(RMI)中具有重要意义。本文提出了用于分析rmi诱导混合过程的混合宽度增长率公式。混合宽度h的新定义,基于质量分数φ,是用来导出混合宽度的增长率,h的公式。在推导中,利用质量方程和质量分数方程,简明地引入了速度场和扩散项。该公式结合二维(2D)和三维(3D)数值数据,定量研究了可压缩性和扩散过程对RMI发展的影响。基于我们的模拟结果表明:冲击后,可压缩性和弥散性对h的贡献幅度开始增大,在RMI中期达到最大值,约为10%。
The mixing zone width and its growth rate are of great significance in the study of the Richtmyer-Meshkov instability (RMI). In this paper, a formula for the growth rate of the mixing width is proposed for analysis of the RMI-induced mixing process. A new definition of the mixing width h , based on the mass fraction ϕ, is used to derive the formula of the growth rate of the mixing width, h . In the derivation, the velocity field and the diffusion term are concisely introduced into the formula by using the mass equation and mass fraction equation. This formula is used together with two-dimensional (2D) and three-dimensional (3D) numerical data to quantitatively study the effects of compressibility and the diffusion process on the development of the RMI. The results based on our simulations show the following. After a shock, the magnitudes of the contributions of compressibility and diffusion to h increase initially, and in the middle stage of the RMI, they appear to attain a maximum value, around 10%...
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发表时间: 2012-03
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