| Study on One-Dimensional Model of Traffic Flow with Stochastic Deceleration via Lattice Boltzmann Method |
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| 作者姓名： | XUE Yu DONG Li yun DAI Shi qiang Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai China |
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| 作者单位： | XUE Yu，DONG Li yun，DAI Shi qiang Shanghai Institute of Applied Mathematics and Mechanics，Shanghai University，Shanghai 200072，China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina!
(19872 0 42，19932 0 2 0 ) |
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| 摘 要： | 1 Ｉｎｔｒｏｄｕｃｔｉｏｎ Ｉｎｒｅｃｅｎｔｙｅａｒｓ ,ｔｈｅｔｈｅｏｒｙｏｆｔｒａｆｆｉｃｆｌｏｗｈａｓｂｅｅｎｅｘｔｅｎｓｉｖｅｌｙｄｅｖｅｌｏｐｅｄｄｕｅｔｏｔｈｅｃｏｏｐｅｒａｔｉｖｅｗｏｒｋｏｆｓｃｉｅｎｔｉｓｔｓａｎｄｅｎｇｉｎｅｅｒｓｉｎｖａｒｉｏｕｓｆｉｅｌｄｓｓｕｃｈａｓｐｈｙｓｉｃｓ,ｍｅｃｈａｎｉｃｓ,ａｐｐｌｉｅｄｍａｔｈｅｍａｔｉｃｓ,ｅｔｃ .(ｆｏｒｒｅｖｉｅｗｓ,ｃｆ.1]) .Ａｖａｒｉｅｔｙｏｆｔｒａｆｆｉｃｍｏｄｅｌｓｈａｖｅｂｅｅｎｐｒｏｐｏｓｅｄ ,ｆｏｒｉｎｓｔａ…
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Study on One-Dimensional Model of Traffic Flow with Stochastic Deceleration via Lattice Boltzmann Method |
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| XUE Yu,DONG Li yun,DAI Shi qiang Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai ,China.Study on One-Dimensional Model of Traffic Flow with Stochastic Deceleration via Lattice Boltzmann Method[J].Journal of Shanghai University(English Edition),2001(2). |
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| Authors: | XUE Yu DONG Li yun DAI Shi qiang |
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| Institution: | XUE Yu,DONG Li yun,DAI Shi qiang Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,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 1D traffic flow and coincides with theoretical prediction. |
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| Keywords: | lattice Boltzmann method traffic flow Burgers equation |
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