A numerical scheme for moving bottlenecks in traffic flow

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Moving bottlenecks for the Aw-Rascle-Zhang traffic flow model

We introduce a second order model for traffic flow with moving bottlenecks. The model consists of the 2×2 Aw-Rascle-Zhang system with a point-wise flow constraint whose trajectory is governed by an ordinary differential equation. We define two Riemann solvers, characterize the corresponding invariant domains and propose numerical strategies, which are effective in capturing the non-classical sh...

متن کامل

On the Numerical Treatment of Moving Bottlenecks

This report is part of PATH Task Order 4141 and shows how moving obstructions can be modeled numerically with kinematic wave theory. It shows that if a moving obstruction is replaced by a sequence of fixed obstructions at nearby locations with the same “capacity”, then the error in vehicle number converges uniformly to zero as the maximum separation between the moving and fixed bottlenecks is r...

متن کامل

Moving Bottlenecks in Car Traffic Flow: A PDE-ODE Coupled Model

We study a model of vehicular traffic flow represented by a coupled system formed by a scalar conservation law, describing the evolution of cars density, and an ODE, whose solution is the position of a moving bottleneck, i.e. a slower vehicle moving inside the cars flow. A fractional step approach is used to approximate the coupled model and convergence is proved by compactness arguments. Final...

متن کامل

Sequential Implicit Numerical Scheme for Pollutant and Heat Transport in a Plane-Poiseuille Flow

A sequential implicit numerical scheme is proposed for a system of partial differential equations defining the transport of heat and mass in the channel flow of a variable-viscosity fluid. By adopting the backward difference scheme for time derivative and the central difference scheme for the spatial derivatives, an implicit finite difference scheme is formulated. The variable-coefficient diffu...

متن کامل

Mathematical Modelling of Traffic Flow at Bottlenecks

This master’s thesis gives a brief overview of mathematical modelling of traffic flow from different perspectives. Focus lies on the fluid flow analogy first derived by Lighthill, Whitham and Richards (LWR) in the 1950’s which treats a traffic stream as a compressible one-dimensional fluid. The LWR theory is applied to bottleneck queueing situations, more specifically to junctions with one outg...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Bulletin of the Brazilian Mathematical Society, New Series

سال: 2016

ISSN: 1678-7544,1678-7714

DOI: 10.1007/s00574-016-0172-8