Exact stationary axisymmetric solutions of the Euler equations on β-γ planes

Atmospheric Science Letters

Volumn 13, Issue 2, 2012, Pages 79-87

  Staniforth, Andrew ^a  

^a MET OFFICE   (United Kingdom)

Author keywords

plane; Analytical solutions; Axisymmetric solutions; F plane; Model validation

Indexed keywords

ATMOSPHERIC MODELING; EQUATION; MODEL VALIDATION; NUMERICAL MODEL;

EID: 84859759849     PISSN: None     EISSN: 1530261X     Source Type: Journal    
DOI: 10.1002/asl.375     Document Type: Article

References (13)

1. Beckmann A, Diebels S. 1994. Effects of the horizontal component of the Earth's rotation on wave propagation on an f-plane. Geophysical and Astrophysical Fluid Dynamics 76: 95-119.
2. Davies T, Cullen M, Malcolm A, Mawson M, Staniforth A, White A, Wood N. 2005. A new dynamical core for the Met Office's global and regional modelling of the atmosphere. Quarterly Journal of the Royal Meteorological Society 131: 1759-1782.
3. Dellar PJ. 2011. Variations on a beta-plane: derivation of non-traditional beta-plane equations from Hamilton's principle on a sphere. Journal of Fluid Mechanics 674: 174-195.
4. Gerkema T, Zimmerman JTF, Maas LRM, van Haren H. 2008. Geophysical and astrophysical fluid dynamics beyond the traditional approximation. Reviews of Geophysics 46: RG2004-RG2033.
5. Grimshaw RHJ. 1975. A note on the β-plane approximation. Tellus A 27: 351-357.
6. Haltiner GJ, Williams RT. 1980. Numerical Prediction and Dynamic Meteorology, 2nd ed. Wiley: New York, NY.
7. Pedlosky J. 1987. Geophysical Fluid Dynamics, 2nd ed. Springer-Verlag: New York, NY.
8. Ripa P. 1997. "Inertial" oscillations and the β-plane approximation(s). Journal of Physical Oceanography 27: 633-647.
9. Thuburn J, Wood N, Staniforth A. 2002. Normal modes of deep atmospheres. II: f-F-plane geometry. Quarterly Journal of the Royal Meteorological Society 128: 1793-1806.
10. Ullrich PA, Jablonowski C. 2012. Operator-split Runge-Kutta- Rosenbrock methods for non-hydrostatic atmospheric models. Monthly Weather Review DOI: 10.1175/MWR-D-10-05073.1.
11. White AA, Hoskins BJ, Roulstone I, Staniforth A. 2005. Consistent approximate models of the global atmosphere: shallow, deep, hydrostatic, quasi-hydrostatic and non-hydrostatic. Quarterly Journal of the Royal Meteorological Society 131: 2081-2107.
12. White AA, Wood N. 2012. Consistent approximate models of the global atmosphere in non-spherical geopotential coordinates. Quarterly Journal of the Royal Meteorological Society DOI: 10.1002/qj.972.
13. Zdunkowski W, Bott A. 2003. Dynamics of the Atmosphere: A Course in Theoretical Meteorology. Cambridge University Press: Cambridge, UK.