CAJ | 학술논문

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.
개소료일충괄용우교통류중홍록등모형적량격자적격자파이자만모형.통과최대치원리증명료해모형적은정성.수치모의설명료모형적수치해여이론분석적간단해고도문합,표명료해모형대처리다간단교통류문제시고효화은정적.
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.