A kinetic flux-vector splitting method for single-phase and two-phase shallow flows

DOI10.1016/J.CAMWA.2014.01.015zbMath1381.76309OpenAlexW2005397198MaRDI QIDQ316628

Shamsul Qamar, Saqib Zia

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.01.015

zbMATH Keywords

central schemesconservative and non-conservative systemsKFVS schemesingle and two-phase shallow flow models

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Particle methods and lattice-gas methods (76M28) Suspensions (76T20) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (3)

Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs ⋮ Propagation of diffusing pollutant by kinetic flux-vector splitting method ⋮ Multislope MUSCL method applied to solve shallow water equations

Uses Software

• HLLE

Cites Work

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• A kinetic flux-vector splitting method for the shallow water magnetohydrodynamics
• A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers
• Two-dimensional spreading of a granular avalanche down an inclined plane. I: Theory
• A gas-kinetic scheme for shallow-water equations with source terms
• Fourth-order balanced source term treatment in central WENO schemes for shallow water equations
• Non-oscillatory central differencing for hyperbolic conservation laws
• A high order kinetic flux-vector splitting method for the reduced five-equation model of compressible two-fluid flows
• Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis
• A multiphase Godunov method for compressible multifluid and multiphase flows
• Kinetic flux vector splitting for Euler equations
• A well-balanced gas-kinetic scheme for the shallow-water equations with source terms
• Gas-kinetic theory-based flux splitting method for ideal magnetohydrodynamics
• A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
• Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation
• A Positive Preserving High Order VFRoe Scheme for Shallow Water Equations: A Class of Relaxation Schemes
• A Roe-type scheme for two-phase shallow granular flows over variable topography
• Two-Layer Shallow Water System: A Relaxation Approach
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• The motion of a finite mass of granular material down a rough incline
• Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
• Gravity-driven free surface flow of granular avalanches over complex basal topography
• Rapid shear flows of dry granular masses down curved and twisted channels
• A two-fluid model for avalanche and debris flows
• Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography
• NUMERICAL TREATMENT OF WET/DRY FRONTS IN SHALLOW FLOWS WITH A MODIFIED ROE SCHEME
• A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics
• A class of approximate Riemann solvers and their relation to relaxation schemes
• Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations

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