High order numerical methods for flows with hysteretic fluxes

DOI10.1016/j.apnum.2022.10.002zbMath1506.65121OpenAlexW4306885156MaRDI QIDQ2106216

Chi-Wang Shu, Haitao Fan

Publication date: 9 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.10.002

zbMATH Keywords

hysteresisporous mediatraffic flowhigh resolution schemestotal variation diminishingtwo phase flownonconservative hyperbolic systemhysteretic flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Traffic problems in operations research (90B20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference methods for boundary value problems involving PDEs (65N06) PDEs in connection with mathematical programming (35Q90) Liquid-liquid two component flows (76T06)

Related Items (1)

A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis

Cites Work

• The solutions of the Riemann problem for a hyperbolic system modeling polymer flooding with hysteresis
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• Existence and Computation of Solutions of a Model of Traffic Involving Hysteresis
• On kinematic waves II. A theory of traffic flow on long crowded roads
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