变宽度道路交通流模型
A model for traffic flow on a road with variable widths
摘要:
本文提出了一个描述可变宽度道路上交通流的模型。该模型是对Aw-Rascle模型的改进,由于源项的存在,该模型不具有保守性。我们得到了新交通流模型的基本波,包括稀疏波、冲击波、接触间断和驻波。求解了交通流系统的黎曼问题,给出了与理论结果基本一致的数值结果。
英文摘要:
We propose a model describing the traffic flow on a road with variable widths in this paper. The model, which is modified the Aw-Rascle model, is not conservative because of the source term. We obtain the elementary waves of the new traffic flow model, including rarefaction waves, shock waves, contact discontinuities and stationary waves. The Riemann problems of the system for the traffic flow are solved and some numerical results are given, which are almost the same as the theoretical ones.
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