Characteristic-based schemes for multi-class Lighthill-Whitham-Richards traffic models

DOI10.1007/s10915-008-9209-5zbMath1203.65169OpenAlexW2022085542MaRDI QIDQ618417

Rosa Donat, Pep Mulet

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9209-5

zbMATH Keywords

adaptive mesh refinementhigh resolution shock capturing schemesfinite-difference WENO schemesmulti-class Lighthill Whitham Richards traffic model

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Related Items (14)

On the hyperbolicity of certain models of polydisperse sedimentation ⋮ Discontinuous Galerkin finite element scheme for a conserved higher-order traffic flow model by exploring Riemann solvers ⋮ On second-order antidiffusive Lagrangian-remap schemes for multispecies kinematic flow models ⋮ On the implementation of WENO schemes for a class of polydisperse sedimentation models ⋮ Some techniques for improving the resolution of finite difference component-wise WENO schemes for polydisperse sedimentation models ⋮ A Runge-Kutta discontinuous Galerkin scheme for hyperbolic conservation laws with discontinuous fluxes ⋮ An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model ⋮ Antidiffusive <scp>L</scp>agrangian‐remap schemes for models of polydisperse sedimentation ⋮ Polynomial viscosity methods for multispecies kinematic flow models ⋮ A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function ⋮ Numerical solution of a multi-class model for batch settling in water resource recovery facilities ⋮ A secular equation for the Jacobian matrix of certain multispecies kinematic flow models ⋮ Regularized Nonlinear Solvers for IMEX Methods Applied to Diffusively Corrected Multispecies Kinematic Flow Models ⋮ Linearly Implicit IMEX Runge--Kutta Methods for a Class of Degenerate Convection-Diffusion Problems

Cites Work

• Unnamed Item
• Adaptive multiresolution WENO schemes for multi-species kinematic flow models
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill--Whitham--Richards traffic flow model.
• Efficient implementation of weighted ENO schemes
• A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway
• Hyperbolicity and kinematic waves of a class of multi-population partial differential equations
• Adaptive mesh refinement techniques for high-order shock capturing schemes for multi-dimensional hydrodynamic simulations
• Local Piecewise Hyperbolic Reconstruction of Numerical Fluxes for Nonlinear Scalar Conservation Laws
• An $n$ -populations model for traffic flow

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