Analysis of traffic flow by the finite element method |
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Authors: | DE Beskos PG Michalopoulos JK Lin |
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Institution: | Department of Civil and Mineral Engineering, University of Minnesota, Minneapolis, Minnesota 55455, USA |
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Abstract: | A finite elernent methodology is developed for the numerical solution of traffic flow problems encountered in arterial streets. The simple continuum traffic flow model consisting of the equation of continuity and an equilibrium flow-density relationship is adopted. A Galerkin type finite element method is used to formulate the problem in discrete form and the solution is obtained by a step-by-step time integration in conjunction with the Newton-Raphson method. The proposed finite element methodology, which is of the shock capturing type, is applied to flow traffic problems. Two numerical examples illustrate the method and demonstrate its advantages over other analytical or numerical techniques. |
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Keywords: | mathematical models finite element method traffic flow analysis |
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