A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions
DOI10.1016/j.amc.2015.08.121zbMath1410.76250OpenAlexW2251051009MaRDI QIDQ668364
Andreas Meister, Sigrun Ortleb
Publication date: 19 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.121
shallow waterdiscontinuous Galerkinwell-balanced schemepositivity preservationfinite volume subcells
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes
- On the optimal design of river fishways
- Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes
- A fully implicit wetting-drying method for DG-FEM shallow water models, with an application to the scheldt estuary
- A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations
- Stabilized residual distribution for shallow water simulations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms
- Positivity of flux vector splitting schemes
- Some approximate Godunov schemes to compute shallow-water equations with topography.
- On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
- A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
- Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system
- Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Subcells
- Phosphorus Cycles in Lakes and Rivers: Modeling, Analysis, and Simulation
- A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying
- A high-resolution wetting and drying algorithm for free-surface hydrodynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- The runup of solitary waves
- A finite volume solver for 1D shallow-water equations applied to an actual river
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- A simple shock‐capturing technique for high‐order discontinuous Galerkin methods
- The DG Scheme on Triangular Grids with Adaptive Modal and Variational Filtering Routines Applied to Shallow Water Flows
- On unconditionally positive implicit time integration for the DG scheme applied to shallow water flows
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