Analytical Solution of Congested Traffic Pattern Formation for a Viscous High-Order Model

Xing Li Li; Tao Song; Hua Kuang

doi:10.4028/www.scientific.net/AMM.97-98.546

Paper Titles

Multi-Train Movement Simulation Research for Urban Rail Transit under Sudden Failure
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Evaluation Analysis and Optimization Design of Urban Road Traffic Condition Based on VISSIM
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A Method of Parameter Design for Passenger Train Line Plan Based on Multi-Agent Model
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Expected Value Model for Vehicle Detection Station Location Problem with Random Detection Demand and Different Transportation Cost
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Analytical Solution of Congested Traffic Pattern Formation for a Viscous High-Order Model
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Study on Optimization for Taxiway Routing Arrangement Based on Simulation
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Study on Integrated Land-Use of Rail Station Areas Based on Two-Way Balanced Passenger Flow
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Multi-Resolution Modeling of High Speed Railway Infrastructure for Train Operation Simulation
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Safety Evaluation and Countermeasure Research on Fringe Area
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 97-98Analytical Solution of Congested Traffic Pattern...

Analytical Solution of Congested Traffic Pattern Formation for a Viscous High-Order Model

Abstract:

In this paper, a new viscous vehicular flow model proposed by Song et al is discussed from the perspective of the capability to reproduce nonlinear traffic behavors observed in real traffic. The linear stability condition for stationary and equilibrium flow is derived. Near the neutral stability curve, the Korteweg–de Vries (KdV) equation describing congested traffic pattern is derived with use of the reduction perturbation method. And the corresponding analytical soliton solution is obtained.