Investigating the Dynamics of Traffic Flow on a Highway in a Class of Discontinuous Functions
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Berlin
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This work is devoted to finding a solution of Riemann problem for the first order nonlinear partial equation which describes the traffic flow on highway. When rho(l) > rho(r), the solution is presented as a piecewise continuous function, where rho(l) and rho(r) are the densities of cars on the left and right side of the intersection respectively. On the contrary case, a shock of which the location is unknown beforehand arises in the solution. In this case, a special auxiliary problem is introduced, the solution of which makes it possible to write the exact solution showing the locations of shock. For the realization of the proposed method, the parameters of the flow are also found.
Açıklama
6th International Conference on Finite Difference Methods - Theory and Applications (FDM - T and A) -- JUN 18-23, 2014 -- Lozenetz, BULGARIA
Anahtar Kelimeler
Traffic flow equation, Shock, Characteristics, Weak solution
Kaynak
Finite Difference Methods, Theory And Applications
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
9045
