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2011•Unpublished venueRequires access

A Number of Riemann Solvers for a Conserved Higher-Order Traffic Flow Model

Peng Zhang, Dian-liang Qiao, Liyun Dong, Shiqiang Dai, S.C. Wong

Open publisher page 9 citations

Abstract

This paper develops a number of Riemann solvers for a conserved higher-order traffic flow model, which are derived firstly by expressing its exact Riemann solver through that of the LWR model, and then by replacing the exact Riemann solver of the LWR model with the corresponding approximate Riemann solvers in the expression. Being applied to design a first-order accurate scheme, each of these fluxes is able to reproduce typical physical phenomena by similarly indicating a regular stop-and-go wave, and reflect the mathematical properties of the model by generating a physically bounded solution as is analytically described.

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What this paper is about

This paper develops a number of Riemann solvers for a conserved higher-order traffic flow model, which are derived firstly by expressing its exact Riemann solver through that of the LWR model, and then by replacing the exact Riemann solver of the LWR model with the corresponding approximate Riemann solvers in the expression. Being applied to design a first-order accurate scheme, each of these fluxes is able to reproduce typical physical phenomena by similarly indicating a regular stop-and-go wave, and reflect the mathematical properties of the model by generating a physically bounded solution as is analytically described.

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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper develops a number of Riemann solvers for a conserved higher-order traffic flow model, which are derived firstly by expressing its exact Riemann solver through that of the LWR model, and then by replacing the exact Riemann solver of the LWR model with the corresponding approximate Riemann solvers in the expression. Being applied to design a first-order accurate scheme, each of these fluxes is able to reproduce typical physical phenomena by similarly indicating a regular stop-and-go wave, and reflect the mathematical properties of the model by generating a physically bounded solution as is analytically described.

Key concepts: Riemann solver, Riemann problem, Riemann hypothesis, Solver, Roe solver, Bounded function, Flow (mathematics), Applied mathematics

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