With the Riemann solver to the scalar hyperbolic conservation law with a spatially varying flux, a δ-mapping algorithm was proposed. The algorithm and its prospective application in traffic flow problems were briefed...With the Riemann solver to the scalar hyperbolic conservation law with a spatially varying flux, a δ-mapping algorithm was proposed. The algorithm and its prospective application in traffic flow problems were briefed in the paper.展开更多
This paper deals with the effects of traffic bottlenecks using an extended Lighthill-Whitham-Richards （LWR） model. The solution structure is analytically indicated by the study of the Riemann problem characterized b...This paper deals with the effects of traffic bottlenecks using an extended Lighthill-Whitham-Richards （LWR） model. The solution structure is analytically indicated by the study of the Riemann problem characterized by a discontinuous flux. This leads to a typical solution describing a queue upstream of the bottleneck and its width and height, and informs the design of a δ-mapping algorithm. More significantly, it is found that the kinetic model is able to reproduce stop-and-go waves for a triangular fun-damental diagram. Some simulation examples, which are in agreement with the analytical solutions, are given to support these conclusions.展开更多
文摘With the Riemann solver to the scalar hyperbolic conservation law with a spatially varying flux, a δ-mapping algorithm was proposed. The algorithm and its prospective application in traffic flow problems were briefed in the paper.
基金supported by the National Natural Science Foundation of China (Nos. 70629001 and10771134)the National Basic Research Program of China (973 Program) (No. 2006CB705500)+1 种基金the Research Grants Council of the Hong Kong Special Administrative Region of China(No. HKU7183/08E)the Research Committee of The University of Hong Kong (No. 10207394)
文摘This paper deals with the effects of traffic bottlenecks using an extended Lighthill-Whitham-Richards （LWR） model. The solution structure is analytically indicated by the study of the Riemann problem characterized by a discontinuous flux. This leads to a typical solution describing a queue upstream of the bottleneck and its width and height, and informs the design of a δ-mapping algorithm. More significantly, it is found that the kinetic model is able to reproduce stop-and-go waves for a triangular fun-damental diagram. Some simulation examples, which are in agreement with the analytical solutions, are given to support these conclusions.
