A non-oscillatory central scheme for one-dimensional two-layer shallow water flows along channels with varying width

DOI10.1007/S10915-012-9642-3zbMath1266.76039OpenAlexW2162474438MaRDI QIDQ1955923

Jorge Balbás, Smadar Karni

Publication date: 19 June 2013

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

Full work available at URL: https://doi.org/10.1007/s10915-012-9642-3

zbMATH Keywords

semi-discrete schemeshyperbolic systems of conservation and balance lawsnon-oscillatory reconstructionschannels with irregular geometrySaint-Venant system of shallow-water equations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)

Related Items (3)

A central-upwind scheme for two-layer shallow-water flows with friction and entrainment along channels ⋮ Positivity-preserving nonstaggered central difference schemes solving the two-layer open channel flows ⋮ On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations

Cites Work

• Non-oscillatory central schemes for one- and two-dimensional MHD equations. I
• Non-oscillatory central differencing for hyperbolic conservation laws
• High resolution schemes for hyperbolic conservation laws
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• Introduction to ``Towards the ultimate conservative difference scheme. V: A second-order sequel to Godunov's method
• Numerical simulation of two-layer shallow water flows through channels with irregular geometry.
• A third order central WENO scheme for 2D conservation laws
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
• Strong Stability-Preserving High-Order Time Discretization Methods
• A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
• Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
• Two-Layer Shallow Water System: A Relaxation Approach
• Central-Upwind Schemes for Two-Layer Shallow Water Equations
• A central scheme for shallow water flows along channels with irregular geometry
• Maximal two-layer exchange through a contraction with barotropic net flow
• Maximal two-layer exchange over a sill and through the combination of a sill and contraction with barotropic flow
• High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws
• Central-Upwind Schemes for the Saint-Venant System
• Nonoscillatory Central Schemes for One- and Two-Dimensional Magnetohydrodynamics Equations. II: High-Order SemiDiscrete Schemes
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

This page was built for publication: A non-oscillatory central scheme for one-dimensional two-layer shallow water flows along channels with varying width