A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations.
type: Item
instance of: scholarly article
title: A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations.
zbMATH Open document ID: 1076.76058
DOI: 10.1016/S0021-9991(03)00300-0
published in: Journal of Computational Physics
publication date: 2003-10-15T00:00:00Z
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 86-08
zbMATH DE Number: 1993239
zbMATH Keywords: Cubic gnomonic
zbMATH Keywords: Flux-corrected transport
zbMATH Keywords: Hexahedral grid
zbMATH Keywords: Shallow water equations
zbMATH Keywords: Semi-Lagrangian
zbMATH Keywords: Semi-implicit
zbMATH Keywords: Spectral element method
zbMATH Keywords: Spherical geometry
author: Francis X. Giraldo
author: J. Blair Perot
author: P. Fischer
describes a project that uses: chammp
MaRDI profile type: Publication
cites work: Projection techniques for iterative solution of \(A\underline x=\underline b\) with successive right-hand sides
cites work: Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes
cites work: Lagrange-Galerkin methods on spherical geodesic grids
cites work: The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids
cites work: Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations
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: A staggered spectral element model with application to the oceanic shallow water equations
cites work: Parallel algorithms for semi-lagrangian advection
cites work: An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow
cites work: Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates
cites work: The ``cubed sphere'': A new method for the solution of partial differential equations in spherical geometry
cites work: The spectral element method for the shallow water equations on the sphere
cites work: A standard test set for numerical approximations to the shallow water equations in spherical geometry
cites work: A semi-Lagrangian high-order method for Navier-Stokes equations
full work available at URL: s0021-9991(03)00300-0
OpenAlex ID: W2107631461
description: scientific article; zbMATH DE number 1993239