Spectral viscosity for shallow water equations in spherical geometry

Monthly Weather Review

Volumn 129, Issue 9, 2001, Pages 2346-2360

  Gelb, A ^a   Gleeson, J P ^a  

^a UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

VISCOSITY; WATER;

SPECTRAL VISCOSITY;

METEOROLOGY;

ATMOSPHERIC MODELING; GEOMETRY; NUMERICAL METHOD; SHALLOW-WATER EQUATION;

EID: 0035442416     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(2001)129<2346:SVFSWE>2.0.CO;2     Document Type: Article

References (27)

1. The spectral viscosity method applied to simulation of waves in a stratified atmosphere
2. Global modeling of atmospheric flow by spectral methods
3. Spectral viscosity approximations to multidimensional scalar conservation laws
4. On a numerical method for integration of the hydrodynamical equations with a spectral representation of the horizontal fields
5. Enhanced spectral viscosity approximations for conservation laws
6. A spline collocation scheme for the spherical shallow water equations
7. On the Gibbs phenomenon and its resolution
8. Climate system simulation
9. Description of a shallow water model based on the spectral transform method
10. Solutions to the shallow water test set using the spectral transform method
11. Spectral transform solutions to the shallow water test set
12. A spectral vanishing viscosity method for large eddy simulations
13. Atmospheric predictability and two-dimensional turbulence
14. New trends in large-eddy simulations of turbulence
15. Chebyshev-Legendre super spectral viscosity method for nonlinear conservation laws
16. Analysis of the spectral vanishing viscosity method for periodic conservation laws
17. Legendre pseudospectral viscosity method for nonlinear conservation laws
18. Transform method for calculation of vector coupled sums: Application to the spectral form of the vorticity equation
19. Fourier series on spheres
20. The integration of a low-order spectral form of the primitive meteorological equations
21. Fast shallow-water solvers in latitude-longitude coordinates
22. Spectral transform methods for solving the shallow-water equations on the sphere
23. Convergence of spectral methods for nonlinear conservation laws
24. Super viscosity and spectral approximations of nonlinear conservation laws
25. The spectral element method for the shallow water equations on the sphere
26. A standard test set for numerical approximations to the shallow water equations in spherical geometry