使用极坐标格子玻尔兹曼方法研究冲击过程——复杂系统中非平衡效应的探索
Polar Coordinate Lattice Boltzmann Studying of Shocking Process——Investigation of Non-Equilibrium Effects in Complex System
DOI: 10.12677/CMP.2013.24012, PDF, HTML,  被引量 下载: 3,246  浏览: 12,608  国家自然科学基金支持
作者: 林传栋, 李英骏：中国矿业大学(北京)深部岩土力学与地下工程国家重点实验室，北京；许爱国, 张广财：北京应用物理与计算数学研究所计算物理重点实验室，北京
关键词: 格子玻尔兹曼方法；冲击波；非平衡效应；Lattice Boltzmann Method; Shock Wave; Non-Equilibrium Effects
摘要: 本文使用极坐标高速可压格子玻尔兹曼模型研究冲击过程。其中离散速度模型是由Watari和Tsutahara提出的D2V97，对流项采用修正的Warming-Beam格式处理。分别模拟研究了冲击波在环形区域和圆形区域中向内传播过程中物理量的变化规律，并通过离散速度分布函数的速度矩分析了冲击波波阵面附近的非平衡效应。为了从更基本层面理解界面行为，给出了波阵面处真实分布函数在速度空间的示意图。 The Polar Coordinate Lattice Boltzmann (PCLB) model is used to investigate the shocking processes. The discrete velocity model used in this PCLB is the D2V97 presented by Watari and Tsutahara. The convective term is treated with a modified Warming-Beam scheme. Two shocking processes are investigated. In one case, the evolution of a shock wave travels inwards within an annular area is studied. In the other case, the evolution of a shock wave travels inwards within a circular area is studied. The non-equilibrium effects around the shock fronts are investigated by ana- lyzing the simulated results of velocity moments of local discrete distribution function. To further understand the inter- face from a more fundamental level, we give the sketch of the actual distribution function in velocity space around the shock front.
文章引用：林传栋, 许爱国, 张广财, 李英骏. 使用极坐标格子玻尔兹曼方法研究冲击过程——复杂系统中非平衡效应的探索[J]. 凝聚态物理学进展, 2013, 2(4): 88-96. http://dx.doi.org/10.12677/CMP.2013.24012

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