The Roe-type interface flux for conservation laws with discontinuous flux function

DOI10.1016/j.aml.2017.07.001zbMath1377.65112OpenAlexW2728261117MaRDI QIDQ1680783

Yanbo Hu, Guo-Dong Wang

Publication date: 16 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.07.001

zbMATH Keywords

monotonenumerical resultsconservation lawsentropy solutionsdiscontinuous fluxRoe-type interface flux

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (3)

A new modified local Lax-Friedrichs scheme for scalar conservation laws with discontinuous flux ⋮ Riemann solvers of a conserved high-order traffic flow model with discontinuous fluxes ⋮ High-Order Godunov-Type Scheme for Conservation Laws with Discontinuous Flux Function in Space

Cites Work

• Unnamed Item
• On the convergence of a second order approximation of conservation laws with discontinuous flux
• Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units
• The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions
• Discontinuous approximation of viscous two-phase flow in heterogeneous porous media
• Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A Runge-Kutta discontinuous Galerkin scheme for hyperbolic conservation laws with discontinuous fluxes
• Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux
• The DFLU flux for systems of conservation laws
• Stable numerical methods for conservation laws with discontinuous flux function
• A family of numerical schemes for kinematic flows with discontinuous flux
• A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway
• Monotone (A,B) entropy stable numerical scheme for Scalar Conservation Laws with discontinuous flux
• OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS
• An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections
• Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function
• A Multiclass Homogenized Hyperbolic Model of Traffic Flow
• Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux
• A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case
• Godunov-Type Methods for Conservation Laws with a Flux Function Discontinuous in Space
• On Scalar Conservation Laws with Point Source and Discontinuous Flux Function
• Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior
• A conservation Law with Point Source and Discontinuous Flux Function Modelling Continuous Sedimentation
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Convergence of Upwind Finite Difference Schemes for a Scalar Conservation Law with Indefinite Discontinuities in the Flux Function

This page was built for publication: The Roe-type interface flux for conservation laws with discontinuous flux function