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在一维局部作用元胞自动机(CA)交通流模型中,引入刹车噪声与产生、消失概率,得到一个完全随机的CA交通流模型.利用平衡自旋理论对该模型的研究表明,当Pin=Pout≠0时,初始密度分布不影响系统的最终状态,求得ρt=0.5;当满足条件Pin+Pb=1与Pin=Pout时,得到简单的“线性”模型,该模型在条件|1-2Pin|=1下,表现出长程相关,导致严重交通“阻塞”的出现.理论结果与计算机实验一致.
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An Effective Method on Two-Dimensional Lattice Boltzmann Simulations with Moving Boundaries 下载免费PDF全文
We propose a lattice Boltzmann scheme for two-dimensional complex boundaries moving in fluid flow. The hydrodynamic forces exerting on the moving boundaries are calculated based on a stress-integration method proposed before, but the extrapolation procedure is avoided, and the stability of this model is improved. The accuracy and robustness are demonstrated by numerical simulations of a circular particle settling in a twodimensional vertical channel. The numerical convergence is studied by varying the time-step and the dimensionless particle sizes. 相似文献
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The lattice Boltzmann method is applied to study the flow in elastic blood vessels. The volume-flow rate increases considerably when the compliance constant of the blood vessel is below a critical value. There is a region of the compliance constant in which the average volume-flow rate is dramatically enhanced. A harmonic perturbation of the pressure does not change the behaviour of the average volume-flow rate while the harmonic wave attenuates very quickly along the tube when the resonant period is close to that of the input wave. The model, together with the simulation results, is expected to be helpful to understand the mechanism of the blood volume-flow rate related to the compliance constant of the blood vessel, especially on the dependence of the flux of human blood vessel under weather changes, which has medical significance. 相似文献
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