Generalization of Runge‐Kutta discontinuous Galerkin method to LWR traffic flow model with inhomogeneous road conditions | Zendy

Zhang Peng | Zendy; Liu RuXun | Zendy

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Generalization of Runge‐Kutta discontinuous Galerkin method to LWR traffic flow model with inhomogeneous road conditions

Author(s) -

Zhang Peng,

Liu RuXun

Publication year - 2005

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.20023

Subject(s) - runge–kutta methods , generalization , mathematics , limiter , discontinuous galerkin method , galerkin method , flow (mathematics) , partial differential equation , simple (philosophy) , flux limiter , extension (predicate logic) , flux (metallurgy) , function (biology) , mathematical analysis , traffic flow (computer networking) , differential equation , finite element method , geometry , computer science , physics , telecommunications , philosophy , materials science , epistemology , evolutionary biology , biology , metallurgy , thermodynamics , programming language , computer security

The discussed model is characterized by changeable lane numbers and free flow velocities that give rise to the spatially varying flux function in conservation equation. Accordingly a new numerical flux and a new limiter for the Runge‐Kutta Discontinuous Galerkin method are considered, which are compared with a natural but simple extension. It is verified that the new generalization is of high‐resolution and has wider stable and convergent ranges. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005

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