中文摘要：

介绍了一种适用于交通流中红绿灯模型的两格子的格子玻尔兹曼模型．通过最大值原理证明了该模型的稳定性．数值模拟说明了模型的数值解与理论分析的间断解高度吻合，表明了该模型对处理多间断交通流问题是高效和稳定的．

英文摘要：

A special lattice Boltzmann model with 2-bit lattice was developed to solve the red-and- green light model for traffic flows. The maximum principle and the stability were proved. The model was verified by the test example. Excellent agreement was obtained between numerical predictions and the analytical solutions based on the discontinuous-solution theory. The careful numerical study indicates the computational efficiency and stability of the lattice Boltzmann method for the multi-discontinuous traffic flow problem.