| Study on One—Dimensional Model of Traffic Flow with Stochastic Deceleration via Lattice Boltzmann Method |
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| 引用本文： | XUEYu DONGLi－yun 等.Study on One—Dimensional Model of Traffic Flow with Stochastic Deceleration via Lattice Boltzmann Method[J].上海大学学报(英文版),2001,5(2):104-106. |
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| 作者姓名： | XUEYu DONGLi－yun |
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| 作者单位： | ShanghaiInstiuteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,China |
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| 摘 要： | One-dimensional traffic model was studied with the consideration of stochastic deceleration by using the lattice Boltzmannmethod.The evolution equation for vehicle density was derived,which has the form of the Burgers equation exhibiting the effect of viscosity corresponding to the deceleration.The simulation with the model shows that the variation of vehicle density in space tends to a periodic one,which implies the existence of kinematic waves in the 1D traffic flow and coincides with theoretical prediction.
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| 关 键 词： | 交通流 格子玻尔兹曼方法 Burgers方程 |
| 收稿时间： | 21 June 2000 |
Study on one-dimensional model of traffic flow with stochastic deceleration via lattice Boltzmann method |
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| Yu Xue Ph. D. Candidate,Li-yun Dong,Shi-qiang Dai.Study on one-dimensional model of traffic flow with stochastic deceleration via lattice Boltzmann method[J].Journal of Shanghai University(English Edition),2001,5(2):104-106. |
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| Authors: | Yu Xue Ph D Candidate Li-yun Dong Shi-qiang Dai |
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| Institution: | (1) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, China |
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| Abstract: | One-dimensional traffic model was studied with the consideration of stochastic deceleration by using the lattice Boltzmann
method. The evolution equation for vehicle density was derived, which has the form of the Burgers equation exhibiting the
effect of viscosity corresponding to the deceleration. The simulation with the model shows that the variation of vehicle density
in space tends to a periodic one, which implies the existence of kinematic waves in the ID traffic flow and coincides with
theoretical prediction.
Supported by the National Natural Science Foundation of China (19872042, 19932020) |
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| Keywords: | lattice Boltzmann method traffic flow Burgers equation |
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