Large-time Behavior of Solutions of Discrete Boltzmann-BGK Equation
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摘要: 以D1Q3模型为例,研究了一维情况下具有特定离散速度的Boltzmann-BGK方程的解,当时间趋于无穷大时,可由Burgers方程自相似解叠加表示出来
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关键词:
- 离散速度的Boltzmann-BGK方程 /
- 长时间特性 /
- Burgers方程的自相似解
Abstract: Take D1Q3 Model as an example, it was showed that under suitable assumption the solution of discrete Boltzmann-BGK equations can be constructed in terms of the self-similar solutions of Burgers equation as time tends to infinity -
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[1] Cabannes H. Comportement asymptotique des solutions de l′équation de Boltzmann discrete[J]. C R Acd Sci Paris, 1986(302): 249?253. [2] 郭照立. 郑楚光. 格子 Bolztmann 方法的原理及应用[M]. 北京:科学出版社,2008:24?27.
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