Berlin 2005 – scientific programme

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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 5: Traffic Dynamics, Urban and Regional Systems I

AKSOE 5.3: Talk

Saturday, March 5, 2005, 11:30–12:00, TU P-N203

Simulating vehicular traffic in a network using dynamic routing — •Florian Siebel and Wolfram Mauser — Department of Earth and Environmental Sciences, University of Munich, Luisenstraße 37, D-80333 Munich

We present a new numerical code which solves the Lighthill-Whitham model, the classic macroscopic model for vehicular traffic flow, in a network with multi-destinations. We use a high-resolution shock-capturing scheme with approximate Riemann solver to solve the partial differential equations of the Lighthill-Whitham-theory. These schemes are very efficient, robust and moreover well adapted to simulations of traffic flows. We develop a theory of dynamic routing including a procedure for traffic flow assignment at junctions which reproduces the correct propagation of irregularities and ensures at the same time conservation of the number of vehicles.