A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway

DOI10.1016/j.jcp.2005.07.019zbMath1149.65319OpenAlexW1982774291MaRDI QIDQ2581694

S. C. Wong, Peng Zhang, Chi-Wang Shu

Publication date: 10 January 2006

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2005.07.019

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Essentially non-oscillatory and weighted essentially non-oscillatory schemes, A multilane traffic flow model accounting for lane width, lane-changing and the number of lanes, A family of high-order targeted ENO schemes for compressible-fluid simulations, The Roe-type interface flux for conservation laws with discontinuous flux function, Adaptive multiresolution WENO schemes for multi-species kinematic flow models, Unnamed Item, On the Hughes' model for pedestrian flow: the one-dimensional case, Characteristic-based schemes for multi-class Lighthill-Whitham-Richards traffic models, Riemann solver for a kinematic wave traffic model with discontinuous flux, A relaxation scheme for a multi-class Lighthill-Whitham-Richards traffic flow model, On the implementation of WENO schemes for a class of polydisperse sedimentation models, An Engquist-Osher type finite difference scheme with a discontinuous flux function in space, An assessment of multicomponent flow models and interface capturing schemes for spherical bubble dynamics, A Runge-Kutta discontinuous Galerkin scheme for hyperbolic conservation laws with discontinuous fluxes, A Class of Robust Low Dissipation Nested Multi-Resolution WENO Schemes for Solving Hyperbolic Conservation Laws, On the performance of HLL, HLLC, and Rusanov solvers for hyperbolic traffic models, Riemann solvers of a conserved high-order traffic flow model with discontinuous fluxes, Semidiscrete central-upwind scheme for conservation laws with a discontinuous flux function in space, Numerical symmetry-preserving techniques for low-dissipation shock-capturing schemes, A family of numerical schemes for kinematic flows with discontinuous flux, On models of polydisperse sedimentation with particle-size-specific hindered-settling factors, A GENERALIZED KINETIC MODEL OF SEDIMENTATION OF POLYDISPERSE SUSPENSIONS WITH A CONTINUOUS PARTICLE SIZE DISTRIBUTION, A hybrid scheme for solving a multi-class traffic flow model with complex wave breaking, A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function, A maximum-principle-satisfying finite volume compact-WENO scheme for traffic flow model on networks, Numerical solution of a multi-class model for batch settling in water resource recovery facilities, A note on the weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model, Kinetic description of bottleneck effects in traffic flow, Multi-class traffic flow model based on three dimensional flow-concentration surface, Regularized Nonlinear Solvers for IMEX Methods Applied to Diffusively Corrected Multispecies Kinematic Flow Models, High-Order Godunov-Type Scheme for Conservation Laws with Discontinuous Flux Function in Space

Uses Software

HE-E1GODF

Cites Work