High order well-balanced central local discontinuous Galerkin-finite element methods for solving the Green-Naghdi model
type: Item
instance of: scholarly article
title: High order well-balanced central local discontinuous Galerkin-finite element methods for solving the Green-Naghdi model
zbMATH Open document ID: 1426.76285
author: Maojun Li
author: Haiyun Dong
author: Yu-ting Jiang
published in: Applied Mathematics and Computation
publication date: 2019-04-29T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 7048903
zbMATH Keywords: Green-Naghdi equations
zbMATH Keywords: shallow water waves
zbMATH Keywords: central local discontinuous Galerkin methods
zbMATH Keywords: well-balanced schemes
zbMATH Keywords: finite element method
MaRDI profile type: Publication
full work available at URL: j.amc.2017.07.050
OpenAlex ID: W2741711521
cites work: A fully nonlinear model for three-dimensional overturning waves over an arbitrary bottom.
cites work: Numerical study of three-dimensional overturning waves in shallow water
cites work: Numerical simulation of three-dimensional nonlinear water waves
cites work: An efficient curvilinear non-hydrostatic model for simulating surface water waves
cites work: Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
cites work: Linear stability of solitary waves of the Green-Naghdi equations
cites work: A derivation of equations for wave propagation in water of variable depth
cites work: A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
cites work: On the fully-nonlinear shallow-water generalized Serre equations
cites work: Derivation and analysis of a new 2D Green–Naghdi system
cites work: A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part I: model development and analysis
cites work: A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part II: boundary conditions and validation
cites work: A numerical scheme for the Green-Naghdi model
cites work: A pseudo-spectral algorithm and test cases for the numerical solution of the two-dimensional rotating Green-Naghdi shallow water equations
cites work: Recent advances in Serre-Green-Naghdi modelling for wave transformation, breaking and runup processes
cites work: A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model
cites work: Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model
cites work: High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model
cites work: Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction
cites work: A positivity-preserving well-balanced central discontinuous Galerkin method for the nonlinear shallow water equations
cites work: Long-time effects of bottom topography in shallow water
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: Strong stability-preserving high-order time discretization methods
cites work: The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
cites work: A Local Discontinuous Galerkin Method for KdV Type Equations
cites work: A Local Discontinuous Galerkin Method for the Camassa–Holm Equation
cites work: Solitary water wave interactions
cites work: A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography
cites work: The runup of solitary waves
cites work: New central and central discontinuous Galerkin schemes on overlapping cells of unstructured grids for solving ideal magnetohydrodynamic equations with globally divergence-free magnetic field
DOI: 10.1016/J.AMC.2017.07.050
description: scientific article; zbMATH DE number 7048903