Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms
type: Item
instance of: scholarly article
title: Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms
zbMATH Open document ID: 1391.76320
published in: Computers and Fluids
publication date: 2018-06-19T00:00:00Z
full work available at URL: draft HAL.pdf
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 6891284
zbMATH Keywords: nonlinear shallow water
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: high order scheme
zbMATH Keywords: well-balanced schemes
zbMATH Keywords: unstructured mesh
author: Arnaud Duran
author: Fabien Marche
describes a project that uses: HLLE
describes a project that uses: VOLNA
MaRDI profile type: Publication
OpenAlex ID: W2016330536
cites work: Space-time discontinuous Galerkin finite element method for shallow water flows
cites work: A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
cites work: A well-balanced positivity preserving ``second-order'' scheme for shallow water flows on unstructured meshes
cites work: Upwind methods for hyperbolic conservation laws with source terms
cites work: High-order discontinuous Galerkin schemes on general 2D manifolds applied to the shallow water equations
cites work: Robustness of MUSCL schemes for 2D unstructured meshes
cites work: Efficient well-balanced hydrostatic upwind schemes for shallow-water equations
cites work: A Positive Preserving High Order VFRoe Scheme for Shallow Water Equations: A Class of Relaxation Schemes
cites work: Parallel, adaptive finite element methods for conservation laws
cites work: Flooding and drying in discontinuous Galerkin finite element discretizations of shallow-water equations. I: One dimension
cites work: Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
cites work: Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system
cites work: A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations
cites work: A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
cites work: Fourth-order balanced source term treatment in central WENO schemes for shallow water equations
cites work: Water waves of finite amplitude on a sloping beach
cites work: Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws
cites work: WELL-BALANCED NUMERICAL SCHEMES BASED ON A GENERALIZED HYDROSTATIC RECONSTRUCTION TECHNIQUE
cites work: High order exactly well-balanced numerical methods for shallow water systems
cites work: Q3740471
cites work: The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
cites work: Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
cites work: A discontinuous Galerkin method for three-dimensional shallow water equations
cites work: A numerical scheme for a viscous shallow water model with friction
cites work: On the well-balanced numerical discretization of shallow water equations on unstructured meshes
cites work: The VOLNA code for the numerical modeling of tsunami waves: generation, propagation and inundation
cites work: A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying
cites work: A triangular spectral/hp discontinuous Galerkin method for modelling 2D shallow water equations
cites work: On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
cites work: Some approximate Godunov schemes to compute shallow-water equations with topography.
cites work: Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
cites work: Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
cites work: The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
cites work: A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
cites work: Strong stability-preserving high-order time discretization methods
cites work: A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
cites work: On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
cites work: New two‐dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes
cites work: Efficient implementation of weighted ENO schemes
cites work: A steady-state capturing method for hyperbolic systems with geometrical source terms
cites work: The relaxation schemes for systems of conservation laws in arbitrary space dimensions
cites work: Upwinding sources at interfaces in conservation laws.
cites work: Well-balancing issues related to the RKDG2 scheme for the shallow water equations
cites work: A discontinuous Galerkin algorithm for the two-dimensional shallow water equations
cites work: Locally limited and fully conserved RKDG2 shallow water solutions with wetting and drying
cites work: Limiters for high-order discontinuous Galerkin methods
cites work: Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
cites work: Hp discontinuous Galerkin methods for advection dominated problems in shallow water flow
cites work: Dynamic \(p\)-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations
cites work: Central-Upwind Schemes for the Saint-Venant System
cites work: A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
cites work: Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
cites work: A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates
cites work: The discontinuous Galerkin finite element method for the 2D shallow water equations
cites work: Adaptive quadtree simulation of shallow flows with wet-dry fronts over complex topography
cites work: Well-balanced finite volume evolution Galerkin methods for the shallow water equations
cites work: A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Evaluation of well-balanced bore-capturing schemes for 2D wetting and drying processes

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: An unstructured node-centered finite volume scheme for shallow water flows with wet/dry fronts over complex topography

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: High-order well-balanced finite volume WENO schemes for shallow water equation with moving water

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Q4792090

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: A variant of Van Leer's method for multidimensional systems of conservation laws

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: On positivity preserving finite volume schemes for Euler equations

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: An adaptive discretization of shallow-water equations based on discontinuous Galerkin methods

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Stabilized residual distribution for shallow water simulations

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Balanced finite volume WENO and central WENO schemes for the shallow water and the open-channel flow equations

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Adaptive Q-tree Godunov-type scheme for shallow water equations

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver.

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Restoration of the contact surface in the HLL-Riemann solver

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Local time-stepping in Runge-Kutta discontinuous Galerkin finite element methods applied to the shallow-water equations

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Q3022246

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. I: General formulation.

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Towards the ultimative conservative difference scheme. V: A second-order sequel to Godunov's method

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: High‐order ENO and WENO schemes for unstructured grids

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: High order finite difference WENO schemes with the exact conservation property for the shallow water equations

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Q3593733

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: The surface gradient method for the treatment of source terms in the shallow-water equations

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (cites work)
cites work: Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes

Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms (DOI)
DOI: 10.1016/J.COMPFLUID.2014.05.031