A Numerical Simulation Analysis of Mono-Temperature and Tri-Temperature Models by MDSC Program in Z-Pinch Implosion
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摘要: 用于模拟Z箍缩物理过程的辐射磁流体力学程序(MDSC)存在单温和三温两种模型, 了解其差别有助于更好地使用该工具。介绍了程序中单温模型和三温模型在物理建模上的差异, 设计了3个算例, 采用两种模型分别予以模拟计算。结果表明:相对于单温模型, 三温模型获得更高的碰轴速度, 该差异在低温大质量负载上表现得更为明显。结合Z箍缩的实际物理过程, 分析认为:碰轴速度的差异主要由状态方程引起, 低温下单温模型中的原子状态方程与三温模型中的离子状态方程有显著差异, 导致加载面的膨胀不一致, 最终使获得的动能不一致, 而高温下两种状态方程的差异减小, 因此碰轴速度的差异不明显。状态方程的差异还导致三温模型中更容易形成冲击波和先驱等离子体, 从而缩短了碰轴时间。动能的不同是引起计算差异的主要因素。Abstract: Given the mono-temperature model and tri-temperature model as the two radiation-magneto-hydrodynamic models in the physical process of the Z-pinch, it is useful to understand the difference between the two models for a better use of these tools.In this paper the difference between the two models in the process of modeling is explained and three calculating models are designed to study the calculation difference resulting from the two models.The simulation results achieved show that the tri-temperature model has a faster spindle-touching speed, which is more obvious in low-temperature and heavy loads.The research by taking into account the physical reality shows that the difference between the two models is mainly caused by the equation of state (EOS):at low temperatures, there is a significant difference between atomic EOS and ionic EOS, hence the loaded surface has an uneven inflation, which eventually leads to the difference of the received kinetic energy; at high temperatures, this difference is reduced.Moreover, the EOS makes it more apt for impulse waves to be formed in the tri-temperature program than in the mono-temperature program and for the pioneering plasma to be formed as well.However, the calculation difference caused by the kinetic energy plays a major role.
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图 1 采用单温程序和三温程序计算得到的3个计算模型的自由面运动轨迹
Figure 1. Trajectories of the inner surface calculated by mono-temperature and tri-temperature programs in the three models
图 2 由单温程序和三温程序得到的Model 3的计算结果
Figure 2. Calculation results of Model 3 by mono-temperature and tri-temperature programs
图 3 由单温程序和三温程序得到的Model 1和Model 2的计算结果
Figure 3. Calculation results of Model 1 and Model 2 by mono-temperature and tri-temperature programs
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