The shallow water equations on the sphere and their Lagrange-Galerkin-solution

Meteorology and Atmospheric Physics

Volumn 81, Issue 1-2, 2002, Pages 129-137

  Heinze, T ^a   Hense, A ^b  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC MODELING; FINITE ELEMENT METHOD; PARALLEL COMPUTING; SHALLOW-WATER EQUATION; TRIANGULATION;

EID: 0036402163     PISSN: 01777971     EISSN: None     Source Type: Journal    
DOI: 10.1007/s007030200034     Document Type: Article

References (16)

1. Icosahedral discretization of the two-sphere
2. Atmospheric and ocean modelling with an adaptive finite element solver for the shallow water equations
3. A Lagrange multiplier approach for the metric terms of semi-Lagrangian models on the sphere
4. Integration of the primitive equations on a sphere using the finite element method
5. Finite elements for the Beltrami-operator on arbitrary surfaces
6. Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations
7. Numerical modeling of the atmosphere with an isentropic vertical coordinate
8. Integration of the nondivergent barotropic vorticity equation with an icosahedral-hexagonal grid for the sphere
9. Effects of using a posteriori methods for the conservation of integral invariants
10. An efficient two-time-level semi-Lagrangian semi-implicit integration scheme
11. A PV-based shallow water model on a hexagonal-icosahedral grid
12. Integration of the barotropic vorticity equations on a spherical geodesic grid
13. A standard test set for numerical approximations to the shallow water equations in spherical geometry