Numerical simulations of Rossby–Haurwitz waves

John Thuburn; Yong Li

doi:10.3402/tellusa.v52i2.12258

Numerical simulations of Rossby–Haurwitz waves

Tellus

Volume 52 (2000): Issue 2

By: John Thuburn and Yong Li

Open Access

|Jan 2000

Baines , P. G . 1976 . The stability of planetary waves on a sphere . J. Fluid Mech . 73 , 193 – 213 .
Search in Google Scholar Back to article
Bates , J. R. , Moorthi , S. and Higgins , R. W . 1993 . A global multilevel atmospheric model using a vector semi-Lagrangian finite-difference scheme. Part 1: Adiabatic formulation. Mon. Wea. Re v . 121 , 244 – 263 .
Search in Google Scholar Back to article
Bates , J. R. , Li , Y. , Brandt , A. , McCormick , S. F. and Ruge , J . 1995 . A global shallow-water numerical model based on the semi-Lagrangian advection of potential vorticity . Quart. J. Roy. Meteorol. Soc . 121 , 1981 – 2005 .
Search in Google Scholar Back to article
Bates , J. R. and Li , Y ., 1997 . Simulation of stratospheric vortex erosion using three different global shallow water numerical models . Atmos.-Ocean 35 , 55 – 74 .
Search in Google Scholar Back to article
Drazin , P. G. and Reid , W. H . 1981 . Hydrodynamic stability . Cambridge University Press, Cambridge, London, New York, New Rochelle, Melbourne, Sydney, 527 pp.
Search in Google Scholar Back to article
Haurwitz , B . 1940 . The motion of atmospheric disturbances on a spherical earth . J. Marine Res . 3 , 254 – 267 .
Search in Google Scholar Back to article
Hoskins , B. J . 1973 . Stability of the Rossby—Haurwitz wave . Quart. J. Roy. Meteorol. Soc . 99 , 723 – 745 .
Search in Google Scholar Back to article
Jakob , R. , Hack , J. J. and Williamson , D. L . 1993 . Solutions to the shallow water test set using the spectral transform method. NCAR Technical Note
Search in Google Scholar Back to article
TN-388 + STR , National Center for Atmospheric Research , Boulder, Colorado, USA , 82 pp.
Search in Google Scholar Back to article
Li , Y. and Bates , J. R . 1996 . A study of the behaviour of semi-Lagrangian models in the presence of orography . Quart. J. Roy. Meteorol. Soc . 122 , 1675 – 1700 .
Search in Google Scholar Back to article
McCalpin , J. D . 1988 . A quantitative analysis of the dissipation inherent in semi-Lagrangian advection. Mon. Wea. Re v . 116 , 2330 – 2336 .
Search in Google Scholar Back to article
Phillips , N. A . 1959 . Numerical integration of the primi-tive equations on the hemisphere. Mon. Wea. Re v . 87 , 333 – 345 .
Search in Google Scholar Back to article
Semazzi , F. H. M. and Dekker , P . 1994 . Optimal accu-racy in semi-Lagrangian models. Part 1: Linear formu-lation. Mon. Wea. Re v . 122 , 2139 – 2159 .
Search in Google Scholar Back to article
Thuburn , J . 1995 . Dissipation and cascades to small scales in numerical models using a shape-preserving advection scheme. Mon. Wea. Re v . 123 , 1888 – 1903 .
Search in Google Scholar Back to article
Thuburn , J . 1997 . A PV-based shallow water model on a hexagonal—icosahedral grid. Mon. Wea. Re v . 125 , 2328 – 2347 .
Search in Google Scholar Back to article
Williamson , D. L. , Drake , J. B. , Hack , J. J. , Jakob , R. and Swarztrauber , P. N . 1992 . A standard test set for numerical approximations to the shallow water equa-tions in spherical geometry . J. Comput. Phys . 102 , 211 – 224 .
Search in Google Scholar Back to article