Simple lattice Boltzmann model for traffic flows

A lattice Boltzmann model with 5-bit lattice for traffic flows is proposed. Using the Chapman-Enskog expansion and multi-scale technique, we obtain the higher-order moments of equilibrium distribution function. A simple traffic light problem is simulated by using the present lattice Boltzmann model, and the result agrees well with analytical solution.

用格子Boltzmann方法研究Burgers方程

提出了用于Burgers方程的格子Boltzmann模型。应用Chapman-Enskog展开和多重尺度技术，通过选择平衡态分布函数的高阶矩，得到了几种精度的Burgers方程，模型中的参数通过分析耗散性质和色散性质给出。

A lattice Boltzmann method for KDV equation

We prepose a 5-bit lattice Boltzmann model for KdV equation. Using Chapman-Enskog expansion and multiscale technique, we obtained high order moments of equilibrium distribution function, and the 3rd dispersion coefficient and 4th order viscosity. The parameters of this scheme can be determined by analysing the energy dissipation.

A lattice Boltzmann equation for waves

We propose a lattice Boltzmann model for the wave equation. Using a lattice Boltzmann equation and the Chapman-Enskog expansion, we get 1D and 2D wave equations with truncation error of order two. The numerical tests show the method can be used to simulate the wave motions.

An Improved Ce/Se Scheme And Its Application To Detonation Propagation

An improved two-dimensional space-time conservation element and solution element ( CE/ SE) method with second-order accuracy is proposed, examined and extended to simulate the detonation propagations using detailed chemical reaction models. The numerical results of planar and cellular detonation are compared with corresponding results by the Chapman-Jouguet theory and experiments, and prove that the method is a new reliable way for numerical simulations of detonation propagation.

高温空气的输运性质

<正> 气体或气体混合物的粘性系数,热传导系数等的理论计算方法最初是从平均自由程理论开始的,例如Jeans,Kennard等.后来Enskog和Chapman建立了求解Boltzmann方程的严格的动力学理论,其中最具代表性的工作有Chapman&Cowling及Hirschfelder,Curtiss & Bird等。虽然有不少作者提出了各种求解Boltzmann方程的近似办法,例如

极性分子的碰撞动力学和稀薄极性气体的粘性

<正> 按照Enskog-Chapman稀薄气体动力学理论,单原子分子气体的粘性系数为η=5/12 ((πmkT)~(1/2))/(πσ~2Ω~(2,2)~