Well-balanced discontinuous Galerkin method for shallow water equations with constant subtraction techniques on unstructured meshes
DOI10.1007/s10915-019-01073-3OpenAlexW2989170915WikidataQ126850729 ScholiaQ126850729MaRDI QIDQ2291903
Huijing Du, Yingjie Liu, Yuan Liu, Zhiliang Xu
Publication date: 31 January 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-019-01073-3
unstructured meshesshallow water equationsdiscontinuous Galerkin methodshyperbolic balance lawshierarchical reconstructionconstant subtractionremainder correctionsaint-Venant equations
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical linear algebra (65Fxx) Numerical methods for ordinary differential equations (65Lxx) Nonlinear algebraic or transcendental equations (65Hxx) Error analysis and interval analysis (65Gxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
- Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes
- Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws
- Fourth-order balanced source term treatment in central WENO schemes for shallow water equations
- Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
- Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Parallel, adaptive finite element methods for conservation laws
- Atmospheric and ocean modeling with an adaptive finite element solver for the shallow-water equations
- Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields
- Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system
- Well-balanced central schemes on overlapping cells with constant subtraction techniques for the Saint-Venant shallow water system
- A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
- Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
- High order finite difference WENO schemes with the exact conservation property for the shallow water equations
- High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms
- High-order well-balanced finite difference WENO schemes for a class of hyperbolic systems with source terms
- Extreme Ocean Waves
- Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system
- Numerical Methods for the Nonlinear Shallow Water Equations
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- TVB Uniformly High-Order Schemes for Conservation Laws
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Central-Upwind Schemes for the Saint-Venant System
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter on Unstructured Meshes
- A Survey of High Order Schemes for the Shallow Water Equations
- Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods