Plane shock wave structure in a dilute granular gas

Plane shock wave structure in a dilute granular gas
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稀颗粒气体中的平面激波结构

DOI:
10.1063/1.4967625
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发表时间:
2016
影响因子:
1
通讯作者:
Meheboob Alam
Meheboob Alam
中科院分区:
数学4区
文献类型:
--
作者:
M. H. L. Reddy;Meheboob Alam

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我们通过数值求解纳维-斯托克斯方程来分析稀颗粒气体平面激波结构黎曼问题的早期演化。使用松弛型数值格式对平面冲击波问题的一维简化纳维-斯托克斯方程进行数值求解。给出了不同马赫数和恢复系数下颗粒气体中激波结构的结果。根据我们对早期冲击动力学的分析,我们得出结论,密度和温度分布是“不对称的”;密度最大值和温度最大值出现在激波层内;纵向应力和热通量的绝对值在两个最终状态下最初都为零,在很短的时间内达到最大值,然后随时间的推移而减小。
We analyse the early time evolution of the Riemann problem of planar shock wave structures for a dilute granular gas by solving Navier-Stokes equations numerically. The one-dimensional reduced Navier-Stokes equations for plane shock wave problem are solved numerically using a relaxation-type numerical scheme. The results on the shock structures in granular gases are presented for different Mach numbers and restitution coefficients. Based on our analysis on early time shock dynamics we conclude that the density and temperature profiles are “asymmetric”; the density maximum and the temperature maximum occur within the shock layer; the absolute magnitudes of longitudinal stress and heat flux which are initially zero at both end states attain maxima in a very short time and thereafter decrease with time.