Particle Methods for the Boltzmann Equation
Particle Methods for the Boltzmann Equation
复制标题
玻尔兹曼方程的粒子方法
作者：
H. Neunzert;J. Struckmeier
在下面的章节中，我们将讨论用于稀薄气体流动数值模拟的粒子方法。我们将主要处理一个台球游戏，也就是说，我们的粒子将是硬球。但我们也会涉及到粒子由于旋转或振动而具有内能的情况，它们在碰撞中交换内能，我们会讨论碰撞过程中发生的化学反应。由于本文篇幅有限，我们只能提及这些真实气体效应的原理。另一方面，粒子方法的一般概念可以用于其他类型的动力学方程，如半导体器件模拟。我们把这部分的研究留给后续的论文。
In the following chapters we will discuss particle methods for the numerical simulation of rarefied gas flows. We will mainly treat a billiard game, that is, our particles will be hard spheres. But we will also touch upon cases where particles have internal energies due to rotation or vibration, which they exchange in a collision, and we will talk about chemical reactions happening during a collision. Due to the limited size of this paper, we are only able to mention the principles of these real-gas effects. On the other hand, the general concepts of particle methods to be presented may be used for other kinds of kinetic equations, such as the semiconductor device simulation. We leave this part of the research to subsequent papers.