Moving water equilibria preserving nonstaggered central scheme for open‐channel flows

DOI10.1002/mma.8976zbMath1530.76046OpenAlexW4312194102MaRDI QIDQ6140736

Dingfang Li, Zhen Li, Unnamed Author, Jian Dong, M. Liu

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8976

zbMATH Keywords

second-order accuracypositivity preservingwell balancedopen-channel flowsmoving-water steady statesnonstaggered central schemes

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Moving-water equilibria preserving central-upwind schemes for the shallow water equations
• Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium
• Accurate numerical modeling of 1D flow in channels with arbitrary shape. Application of the energy balanced property
• Well-balanced unstaggered central schemes for one and two-dimensional shallow water equation systems
• Shallow water flows in channels
• On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations
• Non-oscillatory central differencing for hyperbolic conservation laws
• Third order nonoscillatory central scheme for hyperbolic conservation laws
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• A robust second-order surface reconstruction for shallow water flows with a discontinuous topography and a Manning friction
• A steady-state-preserving scheme for shallow water flows in channels
• An effect non-staggered central scheme based on new hydrostatic reconstruction
• Well-balanced central schemes for systems of shallow water equations with wet and dry states
• A new approach for designing moving-water equilibria preserving schemes for the shallow water equations
• High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
• A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
• Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System
• High order well balanced schemes for systems of balance laws
• A central scheme for shallow water flows along channels with irregular geometry
• Total-Variation-Diminishing Time Discretizations
• Central WENO schemes for hyperbolic systems of conservation laws
• Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
• High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws
• Compact Central WENO Schemes for Multidimensional Conservation Laws
• Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
• Modeling Shallow Water Flows Using the Discontinuous Galerkin Method
• A positivity preserving central scheme for shallow water flows in channels with wet-dry states
• High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry

This page was built for publication: Moving water equilibria preserving nonstaggered central scheme for open‐channel flows