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- In this paper, we use a kind of singular perturbation method to find the normal solution of the Boltzmann equation with small Knudsen number. It is proved that the secular terms may be removed by improving the Hilbert expansion and Enskog expansion. 本文用奇异扰动方法讨论了具有小Knudsen数的Boltzmann方程的正规解,证明把Hil-bert展开和Enskog展开加以改进可以消除久期项。
- The one dimensional simulation revealed the agreement of the method with the free molecular flow, the exact solution of the continuum flow and the precise solution of the Boltzmann equation. 一维模拟显示其与自由分子流，连续介质的准确解和玻尔兹曼精确数值解相符。
- the Boltzmann equation 玻耳兹曼方程
- The analysis on the entropy equation shows that the BGK Boltzmann equation meets the entropy condition strictly,implying that the BGK method meets the entropy condition. 通过对熵方程分析表明，BGK波尔兹曼方程严格满足熵条件，从而阐释了BGK模拟方法满足熵条件。
- Navier|Stokes equations are derived by the Chapman|Enskog method from the BGK Boltzmann equation. 利用Chapman Enskog方法 ,从BGK型Boltzmann方程推导出Navier Stokes方程。
- The Navier Stokes equations and the energy equation were derived from the BGK type lattice Boltzmann equation by the Chapman Enskog method. 利用 Chapm an- Enskog方法从 BGK型的格子Boltzmann方程推导出了 Navier- Stokes方程和能量方程。
- On the basis of the Boltzmann formula, we can assign a negative temperature to such a medium. 根据玻耳兹曼公式可以赋予这种物质以负温度。
- A concise introduction to elementary statistical mechanics, or: Where does the Boltzmann factor come from? 统计力学的简明介绍:玻尔兹曼因子的由来?
- The Boltzmann constant and the negative saturation current were calculated according to the linear regression theory. 此外还计算出了此温度下的反向饱和电流。
- Based on the statistics of a large sample of data, the Boltzmann constant is determined at a relative error of 4%. 基于对大量数据的统计分析，计算出了玻尔兹曼常量，与理论值的相对误差约为4%25。
- collisionless Boltzmann equation 符拉索夫方程
- The first is the Boltzmann distribution, which is used to predict the populations of states in systems at thermal equilibrium. 首先是玻尔兹曼分布，它常被用运于预测系统热平衡体系中的状态数。
- The wind whirled the dead leaves about. 风吹得枯叶在四处回旋。
- The wind was whispering in the trees. 一阵风穿过树林沙沙作响。
- There are 26 letters in the English alphabet. 英语字母表中有26个字母。
- Foreign nationals were asked to leave the country. 外国侨民被要求离开该国。
- A cloud is a mass of vapor in the sky. 云是天空中的水汽团。
- A country must have the will to repel any invader. 一个国家得有决心击退任何入侵者。
- By using Chapman-Enskog expansion and multi-scales technique, we obtained a series lattice Boltzmann equations and conservation law in the time scale t0. We select simple equilibrium distribution functions to get moments for the pressure wave equations. 通过使用Chapman-Enskog展开和多重尺度技术;得到了一系列的格子Boltzmann方程和时间尺度t0上守恒律;给出了满足地震压力波方程所要求的高阶矩以及简单的平衡态分布函数表达式.
- Swimming is the best way to tone up your body. 游泳是健体强身的最好方法。
