A spectral element shallow water model on spherical geodesic grids

International Journal for Numerical Methods in Fluids

Volumn 35, Issue 8, 2001, Pages 869-901

  Giraldo, Francis X ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Adams Bashforth; Cubic gnomonic grid; Finite element method; Icosahedral grid; Lagrange multiplier; Runge Kutta; Shallow water equations; Spectral element method; Spherical geometry; Unstructured grid

Indexed keywords

ALGORITHMS; DIFFUSION; FINITE ELEMENT METHOD; INTEGRATION; MAPPING; SPHERES; STABILITY;

SHALLOW WATER EQUATIONS;

GEODESY;

FINITE ELEMENT METHOD; MATHEMATICAL METHOD; SHALLOW-WATER EQUATION;

EID: 0035971808     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0363(20010430)35:8<869::AID-FLD116>3.0.CO;2-S     Document Type: Article

References (26)

1. Spectral method solution of the Stokes equations on nonstaggered grids
2. Staggered spectral element model with application to the oceanic shallow water equations
3. The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids
4. Unstructured spectral element methods for simulation of turbulent flows
5. A spectral element basin model for the shallow water equations
6. The spectral element method for the shallow water equations on the sphere
7. Numerical integration of the shallow water equations on a twisted icosahedral grid. Part I: Basic design and results of tests
8. Non-standard grids
9. A Lagrange multiplier approach for the metric terms of semi-Lagrangian models on the sphere
10. Lagrange-Galerkin methods on spherical geodesic grids
11. Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations
12. The Taylor-Galerkin method for the shallow-water equations on the sphere
13. Spectral methods on triangles and other domains
14. A triangular spectral element method; applications to the incompressible Navier-Stokes equations
15. Stable spectral methods for conservation laws on triangles with unstructured grids
16. Fekete collocation points for triangular spectral elements
17. The scaled boundary finite element method-alias consistent infinitesimal finite element cell method-for diffusion
18. Semi-Lagrangian advection on conformal cubic grids
19. A standard test set for numerical approximations to the shallow water equations in spherical geometry
20. Semi-Lagrangian integration of a gridpoint shallow water model on the sphere
21. Spectral transform solutions to the shallow water test set
22. A spectral filtering procedure for eddy-resolving simulations with the spectral element ocean model