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Discontinuous-Galerkin-Based Analysis of Traffic Flow Model Connected with Multi-Agent Traffic Model

Computer Modeling in Engineering & Sciences 2021年第9期128卷 949-965页

作者： rina okuyama Naoto Mitsume Hideki Fujii Hideaki Uchida The University of Tokyo 7-3-1 HongoBunkyo-kuTokyo113-8656Japan University of Tsukuba 1-1-1 TennodaiTsukuba CityIbaraki305-8577Japan

As the number of automobiles continues to increase year after year,the associated problem of traffic congestion has become a serious societal *** to mitigate this problem have considered methods for optimizing traffic volumes in wide-area road networks,and traffic-flow simulation has become a focus of interest as a technique for advance characterization of such *** of models commonly used for traffic-flow simulations include microscopic models based on discrete vehicle representations,macroscopic models that describe entire traffic-flow systems in terms of average vehicle densities and velocities,and mesoscopic models and hybrid(or multiscale)models incorporating both microscopic and macroscopic *** traffic-flow simulations are designed to model traffic systems under a variety of conditions,their underlyingmodelsmust be capable of rapidly capturing the consequences of minor variations in operating *** other words,the computation speed of macroscopic models and the precise representation of microscopic models are needed ***,in this study we propose a multiscale model that combines a microscopic model—for detailed analysis of subregions containing traffic congestion bottlenecks or other localized phenomena of interest-with a macroscopic model enabling simulation of wide target areas at a modest computational *** addition,to ensure analytical stability with robustness in the presence of discontinuities,we discretize our macroscopic model using a discontinuous Galerkin finite element method(DGFEM),while to conjoin microscopic and macroscopic models,we use a generating/absorbing sponge layer,a technique widely used for numerical analysis of long-wavelength phenomena in shallow water,to enable traffic-flow simulations with stable input and output regions.

关键词： Discontinuous Galerkin finite element method multiscale modeling traffic flow

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