A mass and momentum flux-form high-order discontinuous Galerkin shallow water model on the cubed-sphere

DOI10.1016/j.jcp.2013.11.033zbMath1349.76174OpenAlexW2038944840MaRDI QIDQ349268

Lei Bao, Ramachandran D. Nair, Henry M. Tufo

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.11.033

zbMATH Keywords

shallow-water equationsdiscontinuous Galerkinwell-balancedbottom topographyconservative formcubed-sphereflux-formsecond-order diffusion

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

Horizontal approximation schemes for the staggered reduced latitude-longitude grid ⋮ High-order numerical solutions to the shallow-water equations on the rotated cubed-sphere grid ⋮ Computation at a coordinate singularity ⋮ Multiple time scales and pressure forcing in discontinuous Galerkin approximations to layered ocean models ⋮ An efficient quadrature rule on the cubed sphere ⋮ A center compact scheme for the shallow water equations on the sphere ⋮ Discontinuous Galerkin methods for multi-layer ocean modeling: viscosity and thin layers ⋮ High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes ⋮ High-order central ENO finite-volume scheme for hyperbolic conservation laws on three-dimensional cubed-sphere grids

Uses Software

• chammp

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Atmospheric circulation dynamics and general circulation models
• Computational aspects of a scalable high-order discontinuous Galerkin atmospheric dynamical core
• A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
• Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere
• The spectral element method for the shallow water equations on the sphere
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• Shallow water model on cubed-sphere by multi-moment finite volume method
• High-order finite-volume methods for the shallow-water equations on the sphere
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Upwind methods for hyperbolic conservation laws with source terms
• Strong conservative form of the incompressible Navier-Stokes equations in a rotating frame with a solution procedure
• Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
• The ``cubed sphere: A new method for the solution of partial differential equations in spherical geometry
• A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates
• Some conservation issues for the dynamical cores of NWP and climate models
• A wave propagation method for hyperbolic systems on the sphere
• Strong Stability-Preserving High-Order Time Discretization Methods
• The central-upwind finite-volume method for atmospheric numerical modeling
• A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

This page was built for publication: A mass and momentum flux-form high-order discontinuous Galerkin shallow water model on the cubed-sphere