A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks
DOI10.1016/j.jcp.2019.109183zbMath1453.65310OpenAlexW2995592754WikidataQ126536095 ScholiaQ126536095MaRDI QIDQ2223291
Publication date: 28 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2019.109183
discontinuous Galerkin methodtraffic flowhigh-order methodAw-Rascle modelhyperbolic conservation laws on networks
Hyperbolic conservation laws (35L65) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Traffic and pedestrian flow models (76A30)
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Cites Work
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- Notes on RKDG methods for shallow-water equations in canal networks
- Numerical discretization of coupling conditions by high-order schemes
- Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods
- On high order strong stability preserving Runge-Kutta and multi step time discretizations
- Numerical schemes for networks of hyperbolic conservation laws
- Comparison of the performance of four Eulerian network flow models for strategic air traffic management
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Parallel, adaptive finite element methods for conservation laws
- A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill--Whitham--Richards traffic flow model.
- Capacity drop and traffic control for a second order traffic model
- Flows on networks: recent results and perspectives
- A numerical method for junctions in networks of shallow-water channels
- Runge-Kutta discontinuous Galerkin method for traffic flow model on networks
- A high order approximation of hyperbolic conservation laws in networks: application to one-dimensional blood flow
- A second order model of road junctions in fluid models of traffic networks
- Coupling Conditions for a Class of Second-Order Models for Traffic Flow
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- A Fluid Dynamic Model for Telecommunication Networks with Sources and Destinations
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems: The July 2010 State of the Art
- A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
- Resurrection of "Second Order" Models of Traffic Flow
- Traffic Flow on a Road Network Using the Aw–Rascle Model
- Shock Waves on the Highway
- A Model for the Dynamics of large Queuing Networks and Supply Chains
- On kinematic waves II. A theory of traffic flow on long crowded roads
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