題目: Traffic Flow on a Road Network using the LWR and CHO Models

(基于LWR 和CHO模式的路網交通流)

摘要: Assignment of the flow rates at a junction is the key point for macroscopic modeling and simulation of traffic flow on a road network, which is known as the Junction Riemann problem (JRP). This talk revisits the JRP in both the LWR and CHO models, by maximizing an arbitrarily given linear convex combination of the incoming flows. In the former case, the Riemann solver is the case in which the sum of incoming flows is maximized. In the latter case, the Riemann solver is derived from that in the LWR model by taking the advantage of being “highly consistent” between the two models. The two cases are all extension of the existing modles. And These Riemann solvers should indicate much flexibility for comparison with observed data.

報告人：張鵬，上海大學應用數學與力學所教授博導。主要從事交通流理論分析和工程應用。

他對交通流方面的主要學術貢獻有：the mathematical theory, which includes the analytical properties in (1) the higher-order model; (2) the multi-class model; and (3) the models with discontinuous fluxes or inhomogeneous road conditions. 從2003年以來在J. Comput. Phys., Euro. J. Appl. Math., Numer. Meth. Partial Diff. Equ., SIAM J. Appl. Math., Appl. Numer. Math., J Comput. Appl. Math., Phys. Rev. E, Trans. Res. Part B,在內的國際核心刊物上發表SCI論文30多篇.

地點：1C324

時間：2018-6-29日上午9：00-10:30

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