Modelling and Simulation of an Artificial Tide Generation System

<abstract><p>We present a general multi-scale approach for modeling the interaction of controlled autonomous vehicles (AVs) with the surrounding traffic flow. The model consists of a scalar conservation law for the bulk traffic, coupled with ordinary differential equations describing the possibly interacting AV trajectories. The coupling is realized through flux constraints at the moving bottleneck positions, inducing the formation of non-classical jump discontinuities in the traffic density. In turn, AVs are forced to adapt their speed to the downstream traffic average velocity in congested situations. We analyze the model solutions in a Riemann-type setting, and propose an adapted finite volume scheme to compute approximate solutions for general initial data. The work paves the way to the study of general optimal control strategies for AV velocities, aiming at improving the overall traffic flow by reducing congestion phenomena and the associated externalities.</p></abstract>

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A PDE-ODE model for traffic control with autonomous vehicles

Liard

Stern²,

Monache³

2023

NHM

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<abstract><p>We consider a partial differential equation - ordinary differential equation system to describe the dynamics of traffic flow with autonomous vehicles. In the model, the bulk flow of human drivers is represented by a scalar conservation law, while each autonomous vehicle is described by an ordinary differential equation. The coupled PDE-ODE model is introduced, and existence of solutions for this model is shown, along with a proposed algorithm to construct approximate solutions. Next, we propose a control strategy for the speeds of the autonomous vehicles to minimize the average fuel consumption of the entire traffic flow. Existence of solutions for the optimal control problem is proved, and we numerically show that a reduction in average fuel consumption is possible with an AV acting as a moving bottleneck.</p></abstract>

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Modelling and Simulation of an Artificial Tide Generation System

Cited by 3 publications

References 3 publications

Laboratory experiments on solitary wave interaction with rigid emergent vegetation: some preliminary results

Laboratory experiments on solitary wave interaction with rigid emergent vegetation: some preliminary results

Interacting moving bottlenecks in traffic flow

A PDE-ODE model for traffic control with autonomous vehicles

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