Computing effective flow rates for a signalized ring road

Abstract

In this research a novel numerical scheme is proposed to solve the problem of conservation laws with discontinuous interface and the proposed scheme is then applied to solve the Lighthill Whitham and Richards (LWR) model under interrupted flows especially flows influenced by the signals The proposed scheme is constructed based on the Godunov’s scheme with special treatment at interfaces The proposed scheme is then illustrated and evaluated through different numerical experiments and the numerical results are compared with those obtained from analytical models Then the proposed scheme is applied to solve the problem of the LWR model with signals in the ring road under the assumption of the Greenshield function

Date of Award	2020
Original language	English
Supervisor	Yu-Yu Liu (Supervisor)