Discontinuous Galerkin solver for the shallow-water equations in covariant form on the sphere and the ellipsoid
type: Item
instance of: scholarly article
title: Discontinuous Galerkin solver for the shallow-water equations in covariant form on the sphere and the ellipsoid
zbMATH Open document ID: 1436.65136
author: Michael Baldauf
published in: Journal of Computational Physics
publication date: 2020-07-07T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35R01
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 7218399
zbMATH Keywords: dynamical core
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: shallow-water equations
zbMATH Keywords: covariant tensor formalism
zbMATH Keywords: manifolds
describes a project that uses: chammp
describes a project that uses: ICON
MaRDI profile type: Publication
full work available at URL: j.jcp.2020.109384
OpenAlex ID: W3010138261
cites work: New computational methods in tsunami science
cites work: Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction
cites work: A spectral element shallow water model on spherical geodesic grids
cites work: Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
cites work: High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere
cites work: A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates
cites work: High-order discontinuous Galerkin schemes on general 2D manifolds applied to the shallow water equations
cites work: Analysis of grid imprinting on geodesic spherical icosahedral grids
cites work: Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations
cites work: Q4692894
cites work: A standard test set for numerical approximations to the shallow water equations in spherical geometry
cites work: Metric identities and the discontinuous spectral element method on curvilinear meshes
cites work: Q5756148
cites work: TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
cites work: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
cites work: The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
cites work: Symmetric quadrature rules on a triangle
cites work: Symmetric quadrature rules for simplexes based on sphere close packed lattice arrangements
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: Q5289008
cites work: On fifth order Runge-Kutta methods
cites work: Unsteady analytical solutions of the spherical shallow water equations
cites work: Planetary (Rossby) waves and inertia–gravity (Poincaré) waves in a barotropic ocean over a sphere
DOI: 10.1016/J.JCP.2020.109384
description: scientific article; zbMATH DE number 7218399