Accession Number:

ADA458956

Title:

Explicit Construction of Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Non-Smooth Flow-Density Relationship

Descriptive Note:

Corporate Author:

UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA HEFEI

Report Date:

2006-01-01

Pagination or Media Count:

44.0

Abstract:

In this paper, we explicitly construct the entropy solutions for the Lighthill-Whitham-Richards LWR traffic flow model with a flow-density relationship which is piecewise quadratic, continuous, concave, but not differentiable at the junction points where two quadratic polynomials meet, and with piecewise linear initial condition and piecewise constant boundary conditions. As observed traffic flow data can be well fitted with such continuous piecewise quadratic functions, the explicitly constructed solutions provide a fast and accurate solution tool which may be used for predicting traffic or as a diagnosing tool to test the performance of numerical schemes. We implement these explicit entropy solutions for three representative traffic flow cases and also compare them with numerical solutions obtained by a high order weighted essentially non-oscillatory WENO scheme.

Subject Categories:

  • Numerical Mathematics
  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE