Moving water equilibria preserving discontinuous Galerkin method for the shallow water equations
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Publication:6101647
DOI10.1007/S10915-023-02174-WMaRDI QIDQ6101647
Yinhua Xia, Yan Xu, Jia-Hui Zhang
Publication date: 20 June 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
shallow water equationsdiscontinuous Galerkin methodwell-balancedmoving water equilibriumconservative variablesequilibrium variables
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Cites Work
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- Moving-water equilibria preserving central-upwind schemes for the shallow water equations
- High order exactly well-balanced numerical methods for shallow water systems
- Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium
- On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations
- A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Upwind methods for hyperbolic conservation laws with source terms
- A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- High-order well-balanced central WENO scheme for pre-balanced shallow water equations
- Positivity-preserving well-balanced arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the shallow water equations
- Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations
- Well-balanced discontinuous Galerkin scheme for \(2 \times 2\) hyperbolic balance law
- High order still-water and moving-water equilibria preserving discontinuous Galerkin methods for the Ripa model
- 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
- High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- Strong Stability-Preserving High-Order Time Discretization Methods
- A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- Total-Variation-Diminishing Time Discretizations
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations
- A Survey of High Order Schemes for the Shallow Water Equations
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