Discrete Boltzmann equation model for nonideal gases

Discrete Boltzmann equation model for nonideal gases
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DOI:
10.1103/physreve.57.r13
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发表时间:
1998-01-01
期刊:
影响因子:
2.4
通讯作者:
Doolen, GD
Doolen, GD
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
He, XY;Shan, XW;Doolen, GD

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本文建立了一个基于玻尔兹曼方程的离散模型,该模型考虑了体积力和单弛豫时间碰撞模型,用于模拟非理想气体流动。粒子间的相互作用处理使用平均场近似。玻尔兹曼方程的离散化方式,保留了流体动力学方程的推导从玻尔兹曼方程,使用Chapman-Enskog方法或格拉德13矩法。以前提出的非理想气体格子玻尔兹曼方程模型可以进行严格的分析。
A discrete model based an the Boltzmann equation with a body force and a single relaxation time collision model is derived for simulations of nonideal-gas flow. The interparticle interaction is treated using a mean-field approximation. The Boltzmann equation is discretized in a way that preserves the derivation of the hydrodynamic equations from the Boltzmann equation, using either the Chapman-Enskog method or the Grad 13-moment method. The previously proposed nonideal-gas lattice Boltzmann equation model can be analyzed with rigor.