Lattice Boltzmann model for combustion and detonation

Lattice Boltzmann model for combustion and detonation
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燃烧和爆炸的格子玻尔兹曼模型

DOI:
10.1007/s11467-013-0286-z
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发表时间:
2013-02
影响因子:
7.5
通讯作者:
Li, Hua
Li, Hua
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Yan, Bo;Xu, Ai-Guo;Zhang, Guang-Cai;Ying, Yang-Jun;Li, Hua

文献摘要

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在本文中,我们提出了燃烧和爆炸的格子玻尔兹曼模型。在该模型中,流体行为由 Ganet 等人的有限差分格子玻尔兹曼模型描述。[Physica A, 2008, 387: 1721]。化学反应由 Lee-Tarver 模型描述 [Phys.流体,1980,23:2362]。反应热自然地与流动行为相关。由于化学和热力学过程中时间尺度的分离,成功模拟的关键技术是使用算子分裂方案。新模型经过知名基准测试的验证和验证。作为新模型的具体应用,我们研究了简单的稳态爆轰现象。为了展示LB模型相对于传统模型的优点,我们重点关注反应区来研究非平衡效应。有趣的是,在冯诺依曼峰时,系统几乎处于热力学平衡状态。在冯·诺依曼峰的两侧,系统以相反的方向偏离平衡。在冯·诺依曼峰之前,由于冯·诺依曼峰后面的反应产物的强烈压缩,系统突然偏离热力学平衡。在冯诺依曼峰之后,化学能的释放导致反应区内物质的热膨胀,从而驱动系统向相反方向偏离热力学平衡。从本文定义的热力学平衡偏差Δm*,可以更多地了解系统由于热力学平衡偏差而产生的宏观效应。
In this paper we present a lattice Boltzmann model for combustion and detonation. In this model the fluid behavior is described by a finite-difference lattice Boltzmann model by Ganet al.[Physica A, 2008, 387: 1721]. The chemical reaction is described by the Lee-Tarver model [Phys. Fluids, 1980, 23: 2362]. The reaction heat is naturally coupled with the flow behavior. Due to the separation of time scales in the chemical and thermodynamic processes, a key technique for a successful simulation is to use the operator-splitting scheme. The new model is verified and validated by well-known benchmark tests. As a specific application of the new model, we studied the simple steady detonation phenomenon. To show the merit of LB model over the traditional ones, we focus on the reaction zone to study the non-equilibrium effects. It is interesting to find that, at the von Neumann peak, the system is nearly in its thermodynamic equilibrium. At the two sides of the von Neumann peak, the system deviates from its equilibrium in opposite directions. In the front of von Neumann peak, due to the strong compression from the reaction product behind the von Neumann peak, the system experiences a sudden deviation from thermodynamic equilibrium. Behind the von Neumann peak, the release of chemical energy results in thermal expansion of the matter within the reaction zone, which drives the system to deviate the thermodynamic equilibrium in the opposite direction. From the deviation from thermodynamic equilibrium,Δm*, defined in this paper, one can understand more on the macroscopic effects of the system due to the deviation from its thermodynamic equilibrium.
DOI: 10.1016/j.physa.2003.09.040
发表时间: 2003-09
影响因子: 3.3
作者:
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DOI: 10.1088/0256-307x/21/12/037
发表时间: 2004-12
影响因子: 3.5
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影响因子: 3.1
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期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子: --
作者:
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通讯作者: Alexander N Gorban;D. Packwood
DOI: 10.1016/j.physa.2005.09.015
发表时间: 2006-03
影响因子: 3.3
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