Macroscopic traffic flow modeling is essential for describing and forecasting the characteristics of flow. However, classic Lighthill–Whitham–Richards (LWR) model only provides equilibrium values steady-state conditions fails to capture common stochastic variabilities, which are a necessary component accurate real-time management control. In this paper, LWR (SLWR) that randomizes free-flow spee...

A review of recent advances in the use of surface integral methods in Computational AeroAcoustics (CAA) for the extension of near-field CFD results to the acoustic far-field is given. These integral formulations (i.e. Kirchhoff’s method, permeable (porous) surface FfowcsWilliams Hawkings (FW-H) equation) allow the radiating sound to be evaluated based on quantities on an arbitrary control surfa...

Dense human flow has been a concern for the safety of public events for a long time. Macroscopic pedestrian models, which are mainly based on fluid dynamics, are often used to simulate huge crowds due to their low computational costs (COLUMBO & ROSINI 2005). Similar approaches are used in the field of traffic simulations (LIGHTHILL & WHITHAM 1955). A combined macroscopic simulation of vehicles ...

Based on the Lighthill–Whitham–Richards (LWR) traffic flow theory, this paper provides alternative methods to compute shockwave speed mainly by using detection data that reflects three states of vehicular presences: vehicles in moving, vehicles stopped, and void of vehicles. As the duration of a state is firmly identified within a cycle, the proposed methods compute shockwave speeds directly by...

We consider an extension of the traffic flow model proposed by Lighthill, Whitham and Richards, in which the mean velocity depends on a weighted mean of the downstream traffic density. We prove well-posedness and a regularity result for entropy weak solutions of the corresponding Cauchy problem, and use a finite volume central scheme to compute approximate solutions. We perform numerical tests ...

This memorial tribute commemorates Sir James Lighthill the man and the mathematical scientist. A brief biographical information is presented with my personal reminiscences. His major contributions to fluid mechanics with special reference to nonlinear dispersive waves are discussed. By any standards, his legacy of research and publications of six books and one hundred fifty papers will remain f...

In order to model the impact of incidents an alternative resolution method is proposed for the Lighthill-Whitham-Richards model. Is is based on an explicit handling of shock waves (generation, tracking and collision). Contrary to finite difference methods which impose a fixed discretization grid, the Wave Tracking method is event based. The different possible events are studied and they all lea...

In the present paper scalar macroscopic models for traffic and pedestrian flows are coupled and the resulting system is investigated numerically. For the traffic flow the classical Lighthill-Whitham model on a network of roads and for the pedestrian flow the Hughes model are used. These models are coupled via terms in the fundamental diagrams modeling an influence of the traffic and pedestrian ...